Ebook: Essays in Cooperative Games: In Honor of Guillermo Owen
- Tags: Game Theory/Mathematical Methods, Game Theory Economics Social and Behav. Sciences, Economic Theory, Public Finance & Economics, Political Science general
- Series: Theory and Decision Library 36
- Year: 2004
- Publisher: Springer US
- Edition: 1
- Language: English
- pdf
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.
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.
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.
Content:
Front Matter....Pages i-x
The Coming of Game Theory....Pages 1-18
Guillermo Owen’s Proof of the Minimax Theorem....Pages 19-23
Encouraging a Coalition Formation....Pages 25-34
A Comparison of Non-Transferable Utility Values....Pages 35-46
The P-Value for Cost Sharing in Minimum Cost Spanning Tree Situations....Pages 47-61
A Unified Approach to the Myerson Value and the Position Value....Pages 63-76
?-Decisiveness in Simple Games....Pages 77-91
Monotonicity of Power and Power Measures....Pages 93-111
On the Meaning of Owen—Banzhaf Coalitional Value in Voting Situations....Pages 113-123
“Counting” Power Indices for Games with a Priori Unions....Pages 125-140
The Dynamic Stability of Coalitionist Behaviour for Two-Strategy Bimatrix Games....Pages 141-152
Dynamic Coalition Formation in the Apex Game....Pages 153-163
How Many People Can Be Controlled in a Group Pursuit Game....Pages 165-181
Relevance of Winning Coalitions in Indirect Control of Corporations....Pages 183-192
Takeover Prices and Portfolio Theory....Pages 193-203
A Note on the Owen Set of Linear Programming Games and Nash Equilibria....Pages 205-213
On the Owen Set of Transportation Situations....Pages 215-228
The Lov?sz Extension of Market Games....Pages 229-238
Back Matter....Pages 239-240
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.
Content:
Front Matter....Pages i-x
The Coming of Game Theory....Pages 1-18
Guillermo Owen’s Proof of the Minimax Theorem....Pages 19-23
Encouraging a Coalition Formation....Pages 25-34
A Comparison of Non-Transferable Utility Values....Pages 35-46
The P-Value for Cost Sharing in Minimum Cost Spanning Tree Situations....Pages 47-61
A Unified Approach to the Myerson Value and the Position Value....Pages 63-76
?-Decisiveness in Simple Games....Pages 77-91
Monotonicity of Power and Power Measures....Pages 93-111
On the Meaning of Owen—Banzhaf Coalitional Value in Voting Situations....Pages 113-123
“Counting” Power Indices for Games with a Priori Unions....Pages 125-140
The Dynamic Stability of Coalitionist Behaviour for Two-Strategy Bimatrix Games....Pages 141-152
Dynamic Coalition Formation in the Apex Game....Pages 153-163
How Many People Can Be Controlled in a Group Pursuit Game....Pages 165-181
Relevance of Winning Coalitions in Indirect Control of Corporations....Pages 183-192
Takeover Prices and Portfolio Theory....Pages 193-203
A Note on the Owen Set of Linear Programming Games and Nash Equilibria....Pages 205-213
On the Owen Set of Transportation Situations....Pages 215-228
The Lov?sz Extension of Market Games....Pages 229-238
Back Matter....Pages 239-240
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