Essay in Cooperative Games (Theory and Decision Library C) de Gianfranco Gambarelli

Essay in Cooperative Games: In Honor of Guillermo Owen: Theory and Decision Library C, cartea 36

Gianfranco Gambarelli

Essays on Cooperative Games collates selected contributions on Cooperative Games. The papers cover both theoretical aspects (Coalition Formation, Values, Simple Games and Dynamic Games) and applied aspects (in Finance, Production, Transportation and Market Games). A contribution on Minimax Theorem (by Ken Binmore) and a brief history of early Game Theory (by Gianfranco Gambarelli and Guillermo Owen) are also enclosed.

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Cuprins

The Dawnings.- 4. The Coming of Game Theory.- 5. Guillermo Owen’s Proof of the Minimax Theorem.- Coalition Formation.- 6. Encouraging a Coalition Formation.- Values.- 7. A Comparison of Non-Transferable Utility Values.- 8. The P-Value for Cost Sharing in Minimum Cost Spanning Tree Situations.- 9. A Unified Approach to the Myerson Value and the Position Value.- Power Indices.- 10. ?-Decisiveness in Simple Games.- 11. Monotonicity of Power and Power Measures.- Applications.- 12. On the Meaning of Owen—Banzhaf Coalitional Value in Voting Situations.- 13. “Counting” Power Indices for Games with a Priori Unions.- Dynamic Games.- 14. The Dynamic Stability of Coalitionist Behaviour for Two-Strategy Bimatrix Games.- 15. Dynamic Coalition Formation in the Apex Game.- 16. How Many People Can be Controlled in a Group Pursuit Game.- Applications.- 17. Relevance of Winning Coalitions in Indirect Control of Corporations.- 18. Takeover Prices and Portfolio Theory.- 19. A Note on the Owen Set of Linear Programming Games and Nash Equilibria.- 20. On the Owen Set of Transportation Situations.- 21. The Lovász Extension of Market Games.