Fuzzy Cooperative Games [electronic resource] : Cooperation with Vague Expectations / by Milan Mares.
Material type:
- text
- computer
- online resource
- 9783790818208
- Econometrics
- Computers
- Mathematical logic
- Economic theory
- Artificial intelligence
- Operations research
- Decision making
- Econometrics
- Theory of Computation
- Mathematical Logic and Foundations
- Economic Theory/Quantitative Economics/Mathematical Methods
- Artificial Intelligence
- Operations Research/Decision Theory
- 330.015195
- HB139-141
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Biblioteca Digital | Colección SPRINGER | 330.015195 (Browse shelf(Opens below)) | Not For Loan |
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1 Introduction -- 2 Fuzzy Quantities -- 3 Deterministic Coalition Games -- 4 Vagueness and Its Processing -- 5 Fuzzy Additivity and Related Topics -- 6 Fuzzy Core and Effective Coalitions -- 7 Fuzzy Convexity -- 8 Fuzzy Balancedness -- 9 Fuzzy Shapley Value -- 10 Fuzzy Superoptimum -- 11 Fuzzy and Imputational Additivity-Like Relations -- 12 Fuzzy Core and Effectivity in Games Without Side-Payments -- 13 Linear Coalition Games -- 14 A Modified Model of Domination and Superoptimum -- 15 Strategic Background of Fuzzy Cooperation -- 16 Generation of Fuzzy Quantities -- V Concluding Remarks -- References.
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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