758 research outputs found

    Convex Games with Countable Number of Players and Sequencing Situations

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    AMS classification: 91A12;Cooperative games;countable number of players;convexity;infinite sequencing situations

    The Owen Set and the Core of Semi-Infinite Linear Production Situations

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    AMS classifications: 90D12, 90C05, 90C34.cooperative games;linear production;core;duality gap

    On the Core of Semi-Infinite Transportation Games with Divisible Goods

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    AMS classifications: 90D12; 90C05; 90C34;cooperative games

    Multi-Choice Total Clan Games: Characterizations and Solution Concepts

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    This paper deals with a new class of multi-choice games, the class of multi- choice total clan games. The structure of the core of a multi-choice clan game is explicitly described. Furthermore, characterizations of multi-choice total clan games are given and bi-monotonic allocation schemes related to players' levels are introduced for such games. It turns out that some elements in the core of a multi- choice total clan game are extendable to such bi-monotonic allocation schemes via suitable compensation-sharing rules on the domain of multi-choice (total) clan games.Multi-choice games;Clan games;Monotonic allocation schemes

    Egalitarianism in Multi-Choice Games

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    In this paper we introduce the equal division core for arbitrary multi-choice games and the constrained egalitarian solution for con- vex multi-choice games, using a multi-choice version of the Dutta-Ray algorithm for traditional convex games. These egalitarian solutions for multi-choice games have similar properties as their counterparts for traditional cooperative games. On the class of convex multi-choice games, we axiomatically characterize the constrained egalitarian solu- tion.Multi-choice games;Convex games;Equal division core;Constrained egalitarian solution

    A Technical Note on Lorenz Dominance in Cooperative Games

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    AMS classification: 91A12Cooperative games;Lorenz dominance;egalitarianism;con- strained egalitarian solution;equal split-off set

    Compromise Solutions for Bankruptcy Situations with References

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    This paper deals with bankruptcy situations in which in addition to the claims, an exogenously given reference point for the allocation of the estate is present.We introduce and analyse two types of compromise solutions and show that they coincide with the T value of two corresponding TU games.We apply our solutions to a real-life case of allocating university money to degree courses.bankruptcy;allocation;t-value;games

    On the Core of Semi-Infinite Transportation Games with Divisible Goods

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    AMS classifications: 90D12; 90C05; 90C34

    Egalitarianism in Multi-Choice Games

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    In this paper we introduce the equal division core for arbitrary multi-choice games and the constrained egalitarian solution for con- vex multi-choice games, using a multi-choice version of the Dutta-Ray algorithm for traditional convex games. These egalitarian solutions for multi-choice games have similar properties as their counterparts for traditional cooperative games. On the class of convex multi-choice games, we axiomatically characterize the constrained egalitarian solu- tion
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