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Cooperative Games, Solution...
The study of the theory of games was started in Von Neumann (1928), but the development of the theory of games was accelerated after the publication of the classical book "Theory of games and economic behavior" by Von Neumann and Morgenstern (1944). As an initial step, the theory of games aims to put situations of conflict and cooperation into mathematical models. In the second and final step, the resulting models are analysed on the basis of equitable and mathematical reasonings. The conflict and/or cooperative situation in question is generally due to the interaction between two or more individuals (players). Their interaction may lead up to several potential payoffs over which each player has his own preferences. Any player attempts to achieve his largest possible payoff, but the other players may also exert their influence on the realization of some potential payoff. As already mentioned, the theory of games consists of two parts, a modelling part and a solution part. Concerning the modelling part, the mathematical models of conflict and cooperative situations are described. The description of the models includes the rules, the strategy space of any player, potential payoffs to the players, the preferences of each player over the set of all potential payoffs, etc. According to the rules, it is either permitted or forbidden that the players communicate with one another in order to make binding agreements regarding their mutual actions
Monografía
monografia Rebiun38307467 https://catalogo.rebiun.org/rebiun/record/Rebiun38307467 m o d cr mnu---uuaaa 130305s1988 ne o 000 0 eng 968309858 9789401577878 electronic bk.) 9401577870 electronic bk.) 9789048184514 9048184517 9401577870 10.1007/978-94-015-7787-8 doi AU@ 000051661489 NZ1 15017279 NZ1 15311327 AU@ eng pn AU@ GW5XE OCLCF UA@ COO OCLCQ YDX UAB OCLCQ AU@ LEAUB OCLCQ OCLCO OCLCQ OCLCO OCLCL KJT bicssc KJMD bicssc BUS049000 bisacsh 658.40301 23 https://id.oclc.org/worldcat/ddc/E3FDx4M7FW4YgrvFcxYx4bydj3 Driessen, Theo Cooperative Games, Solutions and Applications by Theo Driessen Dordrecht Springer Netherlands 1988 Dordrecht Dordrecht Springer Netherlands 1 online resource (xiv, 223 pages) 1 online resource (xiv, 223 pages) Text txt rdacontent computer c rdamedia online resource cr rdacarrier Theory and Decision Library, Series C: Game Theory, Mathematical Programming and Operations Research 0924-6126 3 I Cooperative Games and Examples -- II Solution Concepts for Cooperative Games and Related Subjects -- III the?-Value -- IV A Game Theoretic Approach to the Cost Allocation Problem by Means of the?-Value, the Nucleolus and the Shapley Value -- V Convex Games and Solution Concepts -- VI Division Rules and Associated Game Theoretic Solutions for Bankruptcy Problems -- VII k-Convex Games and Solution Concepts -- References -- Author Index The study of the theory of games was started in Von Neumann (1928), but the development of the theory of games was accelerated after the publication of the classical book "Theory of games and economic behavior" by Von Neumann and Morgenstern (1944). As an initial step, the theory of games aims to put situations of conflict and cooperation into mathematical models. In the second and final step, the resulting models are analysed on the basis of equitable and mathematical reasonings. The conflict and/or cooperative situation in question is generally due to the interaction between two or more individuals (players). Their interaction may lead up to several potential payoffs over which each player has his own preferences. Any player attempts to achieve his largest possible payoff, but the other players may also exert their influence on the realization of some potential payoff. As already mentioned, the theory of games consists of two parts, a modelling part and a solution part. Concerning the modelling part, the mathematical models of conflict and cooperative situations are described. The description of the models includes the rules, the strategy space of any player, potential payoffs to the players, the preferences of each player over the set of all potential payoffs, etc. According to the rules, it is either permitted or forbidden that the players communicate with one another in order to make binding agreements regarding their mutual actions Economics Operations research Économie politique Recherche opérationnelle economics. Economics. Operations research. Print version 9789048184514 Theory and decision library. Series C Game theory, mathematical programming, and operations research 3