Ebook: Fuzzy Cooperative Games: Cooperation with Vague Expectations

The book deals with the mathematical model of coalitional cooperation based on vague knowledge of its expected outcomes. This reality is described by the model of coalitional game (with or without transferable utility) in which the expected pay-offs are represented by fuzzy quantities or by fuzzy sets of real-valued vectors. This approach to the fuzziness in the bargaining is new and completes the existing literature on this topic by alternative views. The presentation does not demand deeper than elementary knowledge of linear algebra and some related topics. The book can be used as an introduction to the subject presenting basic concepts and results.

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The book deals with the mathematical model of coalitional cooperation based on vague knowledge of its expected outcomes. This reality is described by the model of coalitional game (with or without transferable utility) in which the expected pay-offs are represented by fuzzy quantities or by fuzzy sets of real-valued vectors. This approach to the fuzziness in the bargaining is new and completes the existing literature on this topic by alternative views. The presentation does not demand deeper than elementary knowledge of linear algebra and some related topics. The book can be used as an introduction to the subject presenting basic concepts and results.

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The book deals with the mathematical model of coalitional cooperation based on vague knowledge of its expected outcomes. This reality is described by the model of coalitional game (with or without transferable utility) in which the expected pay-offs are represented by fuzzy quantities or by fuzzy sets of real-valued vectors. This approach to the fuzziness in the bargaining is new and completes the existing literature on this topic by alternative views. The presentation does not demand deeper than elementary knowledge of linear algebra and some related topics. The book can be used as an introduction to the subject presenting basic concepts and results.
Content:
Front Matter....Pages I-XII
Front Matter....Pages 1-3
Introduction....Pages 5-8
Fuzzy Quantities....Pages 9-15
Deterministic Coalition Games....Pages 17-31
Vagueness and Its Processing....Pages 33-34
Front Matter....Pages 35-38
Fuzzy Additivity and Related Topics....Pages 39-54
Fuzzy Core and Effective Coalitions....Pages 55-66
Fuzzy Convexity....Pages 67-77
Fuzzy Balancedness....Pages 79-87
Fuzzy Shapley Value....Pages 89-93
Front Matter....Pages 95-99
Fuzzy Superoptimum....Pages 101-109
Fuzzy and Imputational Additivity-Like Relations....Pages 111-123
Fuzzy Core and Effectivity in Games Without Side-Payments....Pages 125-134
Front Matter....Pages 135-137
Linear Coalition Games....Pages 139-146
A Modified Model of Domination and Superoptimum....Pages 147-151
Strategic Background of Fuzzy Cooperation....Pages 153-161
Generation of Fuzzy Quantities....Pages 163-168
Concluding Remarks....Pages 169-172
Back Matter....Pages 173-177

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The book deals with the mathematical model of coalitional cooperation based on vague knowledge of its expected outcomes. This reality is described by the model of coalitional game (with or without transferable utility) in which the expected pay-offs are represented by fuzzy quantities or by fuzzy sets of real-valued vectors. This approach to the fuzziness in the bargaining is new and completes the existing literature on this topic by alternative views. The presentation does not demand deeper than elementary knowledge of linear algebra and some related topics. The book can be used as an introduction to the subject presenting basic concepts and results.
Content:
Front Matter....Pages I-XII
Front Matter....Pages 1-3
Introduction....Pages 5-8
Fuzzy Quantities....Pages 9-15
Deterministic Coalition Games....Pages 17-31
Vagueness and Its Processing....Pages 33-34
Front Matter....Pages 35-38
Fuzzy Additivity and Related Topics....Pages 39-54
Fuzzy Core and Effective Coalitions....Pages 55-66
Fuzzy Convexity....Pages 67-77
Fuzzy Balancedness....Pages 79-87
Fuzzy Shapley Value....Pages 89-93
Front Matter....Pages 95-99
Fuzzy Superoptimum....Pages 101-109
Fuzzy and Imputational Additivity-Like Relations....Pages 111-123
Fuzzy Core and Effectivity in Games Without Side-Payments....Pages 125-134
Front Matter....Pages 135-137
Linear Coalition Games....Pages 139-146
A Modified Model of Domination and Superoptimum....Pages 147-151
Strategic Background of Fuzzy Cooperation....Pages 153-161
Generation of Fuzzy Quantities....Pages 163-168
Concluding Remarks....Pages 169-172
Back Matter....Pages 173-177
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