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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. Complex systems – dynamics emerge from the

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Agent Dynamics in Complex Multilevel Systems of Systems of Systems Jeffrey Johnson


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    1. 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

    2. Complex systems – dynamics emerge from the interaction of the parts did you see the football ? e.g. a conversation is emerges from interaction e.g. AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009

    3. Complex systems – dynamics emerge from the interaction of the parts did you see the football ? e.g. a conversation is emerges from interaction e.g. no AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009

    4. Complex systems – dynamics emerge from the interaction of the parts do you like Paris ? e.g. a conversation is emerges from interaction e.g. AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009

    5. Complex systems – dynamics emerge from the interaction of the parts do you like Paris ? yes, a lot e.g. a conversation is emerges from interaction e.g. AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009

    6. Complex systems – dynamics emerge from the interaction of the parts I love the food … e.g. a conversation is emerges from interaction e.g. and the wine AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009

    7. Complex systems – dynamics emerge from the interaction of the parts I love the food … e.g. a conversation is emerges from interaction and the wine AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009

    8. Complex systems – dynamics emerge from the interaction of the parts I love the food … e.g. a conversation is emerges from interaction Generally the interaction is computationally irreducible and the wine … unpredictable AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009

    9. Complex systems – dynamics emerge from the interaction of the parts I love the food … e.g. a conversation is emerges from interaction Generally the interaction is computationally irreducible and the wine AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009

    10. Complex systems – dynamics emerge from the interaction of the parts I love the food … e.g. a conversation is emerges from interaction Generally the interaction is computationally irreducible and the wine … unpredictable – cannot make point predictions AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009

    11. Complex systems – dynamics emerge from the interaction of the parts More generally the behaviour of people depends on interaction with many other people. AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009

    12. 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 AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009

    13. 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 AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009

    14. 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 AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009

    15. Complex systems – dynamics emerge from the interaction of the parts nodes in networks can be anything AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009

    16. Complex systems – dynamics emerge from the interaction of the parts Mexico Taiwan Peru nodes in networks can be anything e.g. countries Ghana France USA Japan Iceland Australia AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009

    17. Complex systems – dynamics emerge from the interaction of the parts Taiwan What is there between the micro and the macro level ? AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009

    18. Complex systems – dynamics emerge from the interaction of the parts Taiwan System What is there between the micro and the macro level ? Sub-System AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009

    19. Complex systems – dynamics emerge from the interaction of the parts Taiwan System What is there between the micro and the macro level ? Sub-System AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009

    20. Complex systems – dynamics emerge from the interaction of the parts Taiwan System What is there between the micro and the macro level ? Sub-System AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009

    21. Complex systems – dynamics emerge from the interaction of the parts Taiwan System Taiwan is a system of systems of systems System of Sub-Systems AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009

    22. Complex systems – dynamics emerge from the interaction of the parts Taiwan System Taiwan is a system of systems of systems System of Sub-Systems AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009

    23. 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 ? AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009

    24. 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 ? AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009

    25. Relations give us networks of agents AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009

    26. Relations give us networks Micro-level connectivity structure matters AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009

    27. Binary relations are not rich enough 3 binary relations  one 3-ary relation AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009

    28. Relational Structure Binary relation 3-ary relation 4-ary relation AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009

    29. Multilevel Systems & Hypernetworks for the dynamics of complex multilevel systems AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009

    30. 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

    31. Polyhedral Connectivity in Hypernetworks 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

    32. Polyhedral Connectivity in Hypernetworks 1- near polyhedra (and also 0-near) 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

    33. Polyhedral Connectivity in Hypernetworks 1- near polyhedra 0- near polyhedra 2- near polyhedra

    34. Polyhedral Connectivity in Hypernetworks 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

    35. Polyhedral Connectivity in Hypernetworks 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

    36. Polyhedral Connectivity in Hypernetworks 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

    37. Polyhedral Connectivity & q-transmission The BullThe Dog The ShipThe Royal Oak AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009

    38. Polyhedral Connectivity & q-transmission How does he smell ? The BullThe Dog The ShipThe Royal Oak My dog’s got No nose AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009

    39. Polyhedral Connectivity & q-transmission How does he smell ? The BullThe Dog The ShipThe Royal Oak Terrible ! AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009

    40. Polyhedral Connectivity & q-transmission How does he smell ? The BullThe Dog The ShipThe Royal Oak Terrible ! AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009

    41. Polyhedral Connectivity & q-transmission How does he smell ? The BullThe Dog The ShipThe Royal Oak My dog’s got No nose AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009

    42. Polyhedral Connectivity & q-transmission How does he smell ? The BullThe DogThe ShipThe Royal Oak My dog’s got No nose AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009

    43. Polyhedral Connectivity & q-transmission How does he smell ? The BullThe DogThe ShipThe Royal Oak My dog’s got No nose AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009

    44. Polyhedral Connectivity & q-transmission How does he smell ? The BullThe DogThe ShipThe Royal Oak Terrible! The joke is q-transmitted through the backcloth Hypernetworks for the dynamics of complex multilevel systems ISCTE Lisbon 12-Jan-2008

    45. 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

    46. Formation of simplices  hierarchical structure e.g. take a set of 3 blocks { } AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009

    47. Formation of simplices  hierarchical structure e.g. take a set of 3 blocks assembled by a 3-ary relation R R { } AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009

    48. 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 R { } AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009

    49. Formation of simplices  hierarchical structure Level N+1 Level N n-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

    50. Formation of simplices  hierarchical structure Arch n-ary relation assembles elements into named structures at a higher level R R { } AESCS'09 Pacific-Asian Association for Agent-based Approach in Social Systems Sciences November 13-14, 2009