Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson
-
Upload
paki-parker -
Category
Documents
-
view
35 -
download
4
description
Transcript of Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson
![Page 1: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/1.jpg)
Agent Dynamics in Complex Multilevel
Systems of Systems of Systems
Jeffrey Johnson
The Open University - UK
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
![Page 2: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/2.jpg)
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
Complex systems – dynamics emerge from the
interaction of the parts
e.g. a conversation is emerges from interaction
e.g.
did you see the football ?
![Page 3: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/3.jpg)
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
Complex systems – dynamics emerge from the
interaction of the parts
e.g. a conversation is emerges from interaction
e.g.
did you see the football ?
no
![Page 4: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/4.jpg)
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
Complex systems – dynamics emerge from the
interaction of the parts
e.g. a conversation is emerges from interaction
e.g.
do you like Paris ?
![Page 5: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/5.jpg)
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
Complex systems – dynamics emerge from the
interaction of the parts
e.g. a conversation is emerges from interaction
e.g.
do you like Paris ?
yes, a lot
![Page 6: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/6.jpg)
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
Complex systems – dynamics emerge from the
interaction of the parts
e.g. a conversation is emerges from interaction
e.g.
I love the food …
and the wine
![Page 7: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/7.jpg)
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
Complex systems – dynamics emerge from the
interaction of the parts
e.g. a conversation is emerges from interaction
I love the food …
and the wine
![Page 8: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/8.jpg)
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
Complex systems – dynamics emerge from the
interaction of the parts
e.g. a conversation is emerges from interaction
Generally the interaction is computationally irreducible
I love the food …
and the wine
… unpredictable
![Page 9: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/9.jpg)
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
Complex systems – dynamics emerge from the
interaction of the parts
e.g. a conversation is emerges from interaction
Generally the interaction is computationally irreducible
I love the food …
and the wine
![Page 10: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/10.jpg)
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
Complex systems – dynamics emerge from the
interaction of the parts
e.g. a conversation is emerges from interaction
Generally the interaction is computationally irreducible
I love the food …
and the wine
… unpredictable – cannot make point predictions
![Page 11: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/11.jpg)
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
Complex systems – dynamics emerge from the
interaction of the parts
More generally the behaviour of people depends on interaction with many other people.
![Page 12: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/12.jpg)
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
Complex systems – dynamics emerge from the
interaction of the parts
More generally the behaviour of people depends on interaction with many other people.
in networks
![Page 13: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/13.jpg)
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
Complex systems – dynamics emerge from the
interaction of the parts
More generally the behaviour of people depends on interaction with many other people.
in networks
![Page 14: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/14.jpg)
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
Complex systems – dynamics emerge from the
interaction of the parts
More generally the behaviour of people depends on interaction with many other people.
in networks
![Page 15: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/15.jpg)
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
Complex systems – dynamics emerge from the
interaction of the parts
nodes in networks can be anything
![Page 16: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/16.jpg)
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
Complex systems – dynamics emerge from the
interaction of the parts
nodes in networks can be anything
e.g. countries
Taiwan
France
USA
JapanIceland
Ghana
Mexico
Peru
Australia
![Page 17: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/17.jpg)
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
Complex systems – dynamics emerge from the
interaction of the parts
What is there between the micro and the macro level ?
Taiwan
![Page 18: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/18.jpg)
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
Complex systems – dynamics emerge from the
interaction of the parts
What is there between the micro and the macro level ?
Taiwan System
Sub-System
![Page 19: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/19.jpg)
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
Complex systems – dynamics emerge from the
interaction of the parts
What is there between the micro and the macro level ?
Taiwan System
Sub-System
![Page 20: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/20.jpg)
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
Complex systems – dynamics emerge from the
interaction of the parts
What is there between the micro and the macro level ?
Taiwan System
Sub-System
![Page 21: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/21.jpg)
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
Complex systems – dynamics emerge from the
interaction of the parts
Taiwan is a system of systems of systems
Taiwan System
Sub-Systems
System of
![Page 22: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/22.jpg)
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
Complex systems – dynamics emerge from the
interaction of the parts
Taiwan is a system of systems of systems
Taiwan System
Sub-Systems
System of
![Page 23: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/23.jpg)
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
Complex systems
How can we:
- represent multilevel systems of system of systems ?
- model their dynamics at any level ?
- integrate their bottom-up and top down dynamics ?
![Page 24: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/24.jpg)
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
Complex systems
How can we:
- represent multilevel systems of system of systems ?
- model their dynamics at any level ?
- integrate their bottom-up and top down dynamics ?
What role do agents play in all this ?
![Page 25: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/25.jpg)
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
Relations give us networks of agents
![Page 26: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/26.jpg)
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
Relations give us networks
Micro-level connectivity structure matters
![Page 27: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/27.jpg)
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
3 binary relations one 3-ary relation
Binary relations are not rich enough
![Page 28: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/28.jpg)
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
Relational Structure
Binary relation 3-ary relation 4-ary relation
![Page 29: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/29.jpg)
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
Multilevel Systems & Hypernetworks for the dynamics of complex multilevel systems
![Page 30: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/30.jpg)
Polyhedral Connectivity in Hypernetworks
0- near polyhedra
The intersection of two simplices is called their shared face.
They are q-near if their shared face has dimension q
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
![Page 31: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/31.jpg)
1- near polyhedra
0- near polyhedra
The intersection of two simplices is called their shared face.
They are q-near if their shared face has dimension q
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
Polyhedral Connectivity in Hypernetworks
![Page 32: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/32.jpg)
0- near polyhedra
The intersection of two simplices is called their shared face.
They are q-near if their shared face has dimension q
1- near polyhedra
(and also 0-near)
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
Polyhedral Connectivity in Hypernetworks
![Page 33: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/33.jpg)
1- near polyhedra
2- near polyhedra
0- near polyhedra
Polyhedral Connectivity in Hypernetworks
![Page 34: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/34.jpg)
Polyhedra can be q-connected
through shared faces
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
Polyhedral Connectivity in Hypernetworks
![Page 35: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/35.jpg)
Polyhedra can be q-connected
through shared faces
1-connected components
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
Polyhedral Connectivity in Hypernetworks
![Page 36: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/36.jpg)
Polyhedra can be q-connected
through shared faces
1-connected components
Q-analysis: listing q-components
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
Polyhedral Connectivity in Hypernetworks
![Page 37: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/37.jpg)
Polyhedral Connectivity & q-transmission
The Bull The Dog The Ship The Royal Oak
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
![Page 38: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/38.jpg)
Polyhedral Connectivity & q-transmission
My dog’s got
No nose
How does he smell ?
The Bull The Dog The Ship The Royal Oak
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
![Page 39: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/39.jpg)
Polyhedral Connectivity & q-transmission
Terrible !
How does he smell ?
The Bull The Dog The Ship The Royal Oak
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
![Page 40: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/40.jpg)
Polyhedral Connectivity & q-transmission
Terrible !
How does he smell ?
The Bull The Dog The Ship The Royal Oak
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
![Page 41: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/41.jpg)
Polyhedral Connectivity & q-transmission
My dog’s got
No nose
How does he smell ?
The Bull The Dog The Ship The Royal Oak
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
![Page 42: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/42.jpg)
Polyhedral Connectivity & q-transmission
My dog’s got
No nose
How does he smell ?
The Bull The Dog The Ship The Royal Oak
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
![Page 43: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/43.jpg)
Polyhedral Connectivity & q-transmission
My dog’s got
No nose
How does he smell ?
The Bull The Dog The Ship The Royal Oak
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
![Page 44: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/44.jpg)
Polyhedral Connectivity & q-transmission
Terrible!
How does he smell ?
The joke is q-transmitted through the backcloth
The Bull The Dog The Ship The Royal Oak
Hypernetworks for the dynamics of complex multilevel systems ISCTE Lisbon 12-Jan-2008
![Page 45: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/45.jpg)
Polyhedral Structure
provides a new way of representing
& multilevel systems …
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
![Page 46: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/46.jpg)
e.g. take a set of 3 blocks
Formation of simplices hierarchical structure
{ }AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
![Page 47: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/47.jpg)
{ }R
R
Formation of simplices hierarchical structure
e.g. take a set of 3 blocks assembled by a 3-ary relation
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
![Page 48: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/48.jpg)
{ }R
Formation of simplices hierarchical structure
e.g. take a set of 3 blocks assembled by a 3-ary relation R
The structure has an emergent property
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
![Page 49: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/49.jpg)
{ }R
Formation of simplices hierarchical structure
Level N+1
Level N
n-ary relation
assembles elements
into named
structures at a higher
level
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
![Page 50: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/50.jpg)
{ }R
Formation of simplices hierarchical structure
Archn-ary relation
assembles elements
into named
structures at a higher
level
R
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
![Page 51: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/51.jpg)
Example:
gin, tonic, ice, lemon
gin
ice
tonic
lemon
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
![Page 52: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/52.jpg)
Example:
gin, tonic, ice, lemon
Gin & Tonic is a Gestalt !
gin
ice
tonic
lemon
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
![Page 53: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/53.jpg)
Example: Road Accidents
upset
rain
speed
tired
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
![Page 54: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/54.jpg)
Example: Road Accidents
upset
rain
speed
tired
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
The accident is a whole
the individual parts may not cause an accident
![Page 55: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/55.jpg)
Example: Road Accidents
upset
rain
speed
tired
can weight importance
of the vertices
0.6 contribution
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
![Page 56: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/56.jpg)
Example: Road Accidents
upset
rain
speed
tired
can weight importance
of the vertices
0.6 contribution
0.8 contribution
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
![Page 57: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/57.jpg)
Example: Road Accidents
rain
speed
tired
can weight importance
of the vertices
0.6 contribution
0.8 contribution
0.3 contribution
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
upset
![Page 58: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/58.jpg)
Example: Road Accidents
upset
rain
speed
tired
can weight importance
of the vertices
0.6 contribution
0.8 contribution
0.9 contribution
0.3 contribution
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
![Page 59: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/59.jpg)
Example: Road Accidents
upset
rain
speed
tired
can weight importance
of the vertices
0.6 contribution
0.8 contribution
0.9 contribution
0.3 contribution
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
Fuzzy 0.6 contribution
![Page 60: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/60.jpg)
Example: robot soccer
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
![Page 61: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/61.jpg)
Example: robot soccer
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
![Page 62: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/62.jpg)
Example: robot soccer
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
![Page 63: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/63.jpg)
Example: robot soccer
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
![Page 64: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/64.jpg)
‘scoring a goal’
Example: robot soccer
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
![Page 65: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/65.jpg)
‘the old 1-2 move’
‘scoring a goal’
Example: robot soccer
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
![Page 66: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/66.jpg)
‘The old 1-2’ as a trajectory in multidimensional space
Example: robot soccer
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
![Page 67: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/67.jpg)
‘The old 1-2’ as a trajectory in multidimensional space
Example: robot soccer
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
![Page 68: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/68.jpg)
‘The old 1-2’ as a trajectory in multidimensional space
Example: robot soccer
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
![Page 69: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/69.jpg)
‘The old 1-2’ as a trajectory in multidimensional space
Example: robot soccer
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
![Page 70: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/70.jpg)
‘The old 1-2’ as a polyhedral trajectory in multidimensional space
Example: robot soccer
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
![Page 71: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/71.jpg)
formation of a polyhedron is a structural event
Passing ball event
Goal scoring event
Example: robot soccer
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
![Page 72: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/72.jpg)
Multilevel Structure and Set Definition
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
![Page 73: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/73.jpg)
Multilevel Structure and Set Definition
Complex systems generally have many ‘levels’
cells → organs → animals
chips → boards → computers
people → departments → institutions
nurses → … hospitals … → health trusts
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
![Page 74: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/74.jpg)
Multilevel Structure in Human Systems
Clipboard challenge
you are studying a hospital, how many
things can you see ? € 1.00 for each !
e.g.
bandages, desks, nurses, uniforms, aspirin, light-switches, door knobs, beds, pencils, pills, doctors, trolleys, windows, doors, wards, flowers, canteens, children, teddy bears, waste bins, curtains, computers, car parks, cups, …
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
![Page 75: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/75.jpg)
Multilevel Structure in Human Systems
Clipboard challenge
bandages, desks, nurses, uniforms, aspirin, light-switches, door knobs, beds, pencils, pills, doctors, trolleys, windows, doors, wards, flowers, canteens, children, teddy bears, waste bins, curtains, computers, car parks, cups, …
This is a multilevel mess !
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
![Page 76: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/76.jpg)
Multilevel Structure in Human Systems
Sorting out the hierarchical mess …
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
![Page 77: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/77.jpg)
Multilevel Structure in Human Systems
Lifting coherent vocabulary from the soup
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
![Page 78: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/78.jpg)
Multilevel Structure in Human Systems
Lifting coherent vocabulary from the soup
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
![Page 79: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/79.jpg)
Multilevel Structure in Human Systems
Lifting coherent vocabulary from the soup
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
![Page 80: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/80.jpg)
AND and OR aggregations in multilevel systems
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
![Page 81: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/81.jpg)
Representing Complex Systems & Dynamics
Backcloth, Traffic & Type-1 Dynamics
Traffic on the multi-dimensional backcloth
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
![Page 82: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/82.jpg)
Representing Complex Systems & Dynamics
Backcloth, Traffic & Type-1 Dynamics
Traffic on the multi-level backcloth
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
![Page 83: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/83.jpg)
Representing Complex Systems & Dynamics
Backcloth, Traffic & Type-1 Dynamics
Traffic on the multi-level backcloth - coherence
Cannot look at just one level
Traffic must aggregate coherently over the structure
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
![Page 84: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/84.jpg)
Unpacking High-level Structure in Human Systems
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
![Page 85: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/85.jpg)
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
![Page 86: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/86.jpg)
System time and System Events
System dynamics as traffic on a fixed multilevel backclothAESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
![Page 87: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/87.jpg)
Representing Complex Systems & Dynamics
Backcloth, Traffic & Type-1 Dynamics
Towards representing systems of systems of …
Cannot look at just one level
Traffic must aggregate coherently over the structure
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
![Page 88: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/88.jpg)
Agents, Climate Change & Systems of Systems of Systems
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
![Page 89: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/89.jpg)
Agents, Climate Change & Systems of Systems of Systems
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
Government Policy
?
?
Agents
![Page 90: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/90.jpg)
Conclusions
- complex systems - systems of systems of systems
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
![Page 91: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/91.jpg)
Conclusions
- complex systems - systems of systems of systems
- need new multilevel mathematics to integrate
hypernetworks are necessary if not sufficient
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
![Page 92: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/92.jpg)
Conclusions
- complex systems - systems of systems of systems
- need new multilevel mathematics to integrate
hypernetworks are necessary if not sufficient
- hypernetworks give a theory of aggregation
- mappings aggregate over hypernetworks
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
![Page 93: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/93.jpg)
Conclusions
- complex systems - systems of systems of systems
- need new multilevel mathematics to integrate
hypernetworks are necessary if not sufficient
- hypernetworks give a theory of aggregation
- mappings aggregate over hypernetworks
- governments think at the macrolevel (it’s easier!)
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
![Page 94: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/94.jpg)
Conclusions
- complex systems - systems of systems of systems
- need new multilevel mathematics to integrate
hypernetworks are necessary if not sufficient
- hypernetworks give a theory of aggregation
- mappings aggregate over hypernetworks
- governments think at the macrolevel (it’s easier!)
- agents are needed at the microlevel
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
![Page 95: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/95.jpg)
Conclusions
- complex systems - systems of systems of systems
- need new multilevel mathematics to integrate
hypernetworks are necessary if not sufficient
- hypernetworks give a theory of aggregation
- mappings aggregate over hypernetworks
- governments think at the macrolevel (it’s easier!)
- agents are needed at the microlevel
- new opportunities for agent based modelling !
AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009
![Page 96: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/96.jpg)
![Page 97: Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson](https://reader035.fdocuments.us/reader035/viewer/2022062517/568133c7550346895d9ac196/html5/thumbnails/97.jpg)