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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