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Dynamic Coalition Formation in Iterative Request For Proposal Environments Carlos Merida-Campos Advisor: Steven Willmott Tutor: Ulises Corts Index 1. Objective and Motivation 2. Theoretical Framework 3. Results on Model Analysis


  1. Dynamic Coalition Formation in Iterative Request For Proposal Environments Carlos Merida-Campos Advisor: Steven Willmott Tutor: Ulises Cortés

  2. Index 1. Objective and Motivation 2. Theoretical Framework 3. Results on Model Analysis • Simple Environments • Environments with Farsighted Agents • Environments with Myopic Agents • Environments with Multiple Simultaneous Tasks 4. Conclusions 2

  3. Index Document Chapter 1 1. Objective and Motivation Chapter 2 Chapter 3 2. Theoretical Framework 3. Results on Model Analysis • Simple Environments • Environments with Farsighted Agents • Environments with Myopic Agents • Environments with Multiple Simultaneous Tasks 4. Conclusions 3

  4. Limitations on Automated Negotiation 01 Motivation & Background • Negotiations of commodities • Auction design • Bundle negotiations 4

  5. Negotiation Between Providers 01 Motivation & Background • Reverse Auction (RFQ) • Contract Net (CNET) • Request For Proposal (RFP) 5

  6. Limitations on RFP Research Environments 01 Motivation & Background • Limited to simple task allocation scenarios • Dynamic aspects of negotiation are usually ignored • Usually focuses on communicational aspects • Consider individual bids instead of joint proposals 6

  7. Coalition Formation 01 Motivation & Background • Coalition Formation organizational paradigm • Solving optimization problem of each coalition • Dividing the value of the generated solution • Coalition structure generation • Dynamic Coalition formation • Assuming a series of negotiation between agents 7

  8. Index Document Chapter 4 1. Objective and Motivation 2. Theoretical Framework 3. Results on Model Analysis • Simple Environments • Environments with Farsighted Agents • Environments with Myopic Agents • Environments with Multiple Simultaneous Tasks 4. Conclusions 8

  9. Theoretical Framework 02 Theoretical Framework • Aspects to consider in the model • Dynamism • Amount of information • Heterogeneity • Topology • Simultaneity 9

  10. The General Model 02 Theoretical Framework • Tasks • Agents • Coalitions • Aggregated skills • Quantitative value • Rank • Payment 10

  11. Agents actions 02 Theoretical Framework • Stay • Leave • Leave - Join - [replace] 11

  12. Index Document Part II 1. Objective and Motivation 2. Theoretical Framework 3. Results on Model Analysis • Simple Environments • Environments with Farsighted Agents • Environments with Myopic Agents • Environments with Multiple Simultaneous Tasks 4. Conclusions 12

  13. Simple Environments 03 Model Analysis • Reduced Strategic Set • Stay • Stay if all Stay • Stay if Win • Stay if Win-2 • Leave • Random 13

  14. Simple Environments 03 Model Analysis • System Performance in isolation 14

  15. Simple Environments 03 Model Analysis • Individual Performance in Mixed Populations 15

  16. Simple Environments 03 Model Analysis • Adapting using indicators • • • LMA: Local Memory Agents • GMA: Global Memory Agents 16

  17. Simple Environments 03 Model Analysis 17

  18. Index Document Part III 1. Objective and Motivation 2. Theoretical Framework 3. Results on Model Analysis • Simple Environments • Environments with Farsighted Agents • Environments with Myopic Agents • Environments with Multiple Simultaneous Tasks 4. Conclusions 18

  19. Environments With Farsighted Agents 02 Theoretical Framework • Tasks • Agents • Coalitions • Aggregated skills • Quantitative value • Rank • Payment 19

  20. Environments With Farsighted Agents 02 Theoretical Framework • Tasks • Agents • Coalitions • Aggregated skills • Quantitative value Score Maximizing • Rank • Payment 19

  21. Environments With Farsighted Agents 02 Theoretical Framework • Tasks • Agents • Coalitions • Aggregated skills • Quantitative value Score Maximizing • Rank • Payment Payoff Maximizing 19

  22. Environments With Farsighted Agents 03 Model Analysis • Stability Analysis • Leading Coalition never reduces its value 20

  23. Environments With Farsighted Agents 03 Model Analysis • Equilibrium Analysis • Optimal Leading coalition (if coalition size is not limited) 21

  24. Environments With Farsighted Agents 03 Model Analysis • Equilibrium Analysis • Score Maximizing population converges to an equilibrium 22

  25. Environments With Farsighted Agents 03 Model Analysis • Equilibrium Analysis • Stability is lost when requirements change Pajek Pajek Pajek 23

  26. Environments With Farsighted Agents 03 Model Analysis • Equilibrium Analysis • Payoff maximizing systems are suboptimal and unstable Pajek 24

  27. Environments With Farsighted Agents 03 Model Analysis • Strategies Comparison • Payoff maximizing systems are suboptimal and unstable • Correlation between performance difference and task competitiveness requirements 25

  28. Environments With Farsighted Agents 03 Model Analysis • Strategies Comparison • Endogamic Collaboration Structures 26

  29. Index Document Part IV 1. Objective and Motivation 2. Theoretical Framework 3. Results on Model Analysis • Simple Environments • Environments with Farsighted Agents • Environments with Myopic Agents • Environments with Multiple Simultaneous Tasks 4. Conclusions 27

  30. Environments With Myopic Agents 03 Model Analysis • Different Levels 28

  31. Environments With Myopic Agents 03 Model Analysis • Different Levels 28

  32. Environments With Myopic Agents 03 Model Analysis • Different Levels 28

  33. Environments With Myopic Agents 03 Model Analysis • Different Levels Socially Myopic Socially Farsighted 28

  34. Environments With Myopic Agents 03 Model Analysis • Different Levels Socially Myopic Socially Farsighted 28

  35. Environments With Myopic Agents 03 Model Analysis • Different Levels Socially Myopic Socially Farsighted 28

  36. Environments With Myopic Agents 03 Model Analysis • Effect of social network topologies in performance and individuals in key regions • Agent Competitiveness • Competitive • Versatile • Social Networks placement • Degree Centrality • Betweenness Centrality 29

  37. Experiments With Myopic Agents 03 Model Analysis • Effect of social network topologies in performance and individuals in key regions 30

  38. Environments With Myopic Agents 03 Model Analysis • Effect of social network topologies in performance and individuals in key regions • HAD Metric 31

  39. Environments With Myopic Agents 03 Model Analysis • Effect of social network topologies in performance and individuals in key regions • Degree centrality 32

  40. Environments With Myopic Agents 03 Model Analysis • Different Levels Farsighted Social Environments Myopic Social Environments 33

  41. Environments With Myopic Agents 03 Model Analysis • Different Levels Farsighted Social Environments Myopic Social Environments 33

  42. Environments With Myopic Agents 03 Model Analysis • Social Adaptation Mechanisms • Which events trigger adaptation? • Which agents are reinforced? • What is the reinforcement value applied? 34

  43. Environments With Myopic Agents 03 Model Analysis • Social Adaptation Mechanisms • R - Random • K - Progressive • M - Selective • P - Selective with control 35

  44. Environments With Myopic Agents 03 Model Analysis • Social Adaptation Mechanisms • P - Selective With Control 36

  45. Environments With Myopic Agents 03 Model Analysis • Social Adaptation Mechanisms • Performance Comparison 37

  46. Environments With Myopic Agents 03 Model Analysis • Social Adaptation Mechanisms • Social Network Analysis 38

  47. Environments With Myopic Agents 03 Model Analysis • Social Adaptation Mechanisms • Social Network Analysis Pajek 39

  48. Index Document Part V 1. Objective and Motivation 2. Theoretical Framework 3. Results on Model Analysis • Simple Environments • Environments with Farsighted Agents • Environments with Myopic Agents • Environments with Multiple Simultaneous Tasks 4. Conclusions 40

  49. Environments With Multiple Simultaneous Tasks 03 Model Analysis Farsighted Social Environments Myopic Static Social Environments Multiple Simmultaneous Request Environments Myopic Dynamic Social Environments 41

  50. Environments With Multiple Simultaneous Tasks 03 Model Analysis • Intra Market Strategy • Score Maximizing • Inter Market Strategy • S - Score • R - Ranking • RSz - Ranking + Size 42

  51. Environments With Multiple Simultaneous Tasks 03 Model Analysis • Stability Analysis • S, R. Converge • RSz. Does not necessarily converge 43

  52. Environments With Multiple Simultaneous Tasks 03 Model Analysis • Performance Comparison Between Strategies • Variables studied • Strategies • Requests similarities • Social network density 44

  53. Environments With Multiple Simultaneous Tasks 03 Model Analysis • Performance Comparison Between Strategies • Connection effect 45

  54. Environments With Multiple Simultaneous Tasks 03 Model Analysis • Performance Comparison Between Strategies • Strategy effect 46

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