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Titlebook: Game Theoretical Applications to Economics and Operations Research; T. Parthasarathy,B. Dutta,A. Sen Book 1997 Springer Science+Business M

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Consistency Properties of the Nontransferable Cooperative Game Solutions both the prenucleolus and the prekernel don’t possess the reduced game property and the converse reduced game property for all excess functions satisfying the Kalai’s (Kalai (1978)) conditions. The ε-core may possess these properties or not in dependence on excess functions. Axiomatic characterizat
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Reduced Game Properties of Egalitarian Division Rules for TU-Gamesalready allocated some kind of a yet unspecified individual contribution. Four particular versions, the CIS-, ENSC-, ENPAC-, ENBC-values, are also considered by choosing the individual worth, the separable contribution, the pairwise-averaged contribution and the Banzhaf contribution as the notion of
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A Chain Condition for Qo-Matricesethods to verify whether a given general matrix is in .. or not. In this note, we present a simple and elegant proposition which provides a necessary condition on ..-matrices. We demonstrate the usefulness of this result in studying a number of examples and in answering Stone’s conjecture that princ
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Linear Complementarity and the Irreducible Polystochastic Game with the Average Cost Criterion When verage of the expected costs for each player. Using linear complementarity theory, we present a computational scheme for computing a set of stationary equilibrium strategies and the corresponding costs for this game with the additional assumption that under any choice of stationary strategies for th
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Genetic Algorithm for Finding the Nucleolus of Assignment Gamess follow. The first step is to maintain a set of possible solutions of the core, called population. With the concept of nucleolus, the lexicographic order is the function of fitness. The second step is to improve the population by a cyclic three-stage process consisting of a reproduction (selection)
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Some Recent Algorithms for Finding the Nucleolus of Structured Cooperative Gamese last three years. The paper motivates through examples how the recent algorithms work efficiently for certain structured class of coperative games. Though the data of a cooperative game grows exponentially in size with the number of players, assignment games, and balanced connected games, grow onl
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