Gambarelli Essay in Cooperative Games

In Honor of Guillermo Owen
Erscheinungsjahr 2013
ISBN: 978-1-4020-2936-3
Verlag: Springer US
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 36, 240 Seiten, eBook

Reihe: Theory and Decision Library C

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.

Zielgruppe

Research

Autoren/Hrsg.

Gambarelli, Gianfranco

Inhaltsverzeichnis

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.