Displaying similar documents to “The stable roommates problem and chess tournament pairings.”

One-point solutions obtained from best approximation problems for cooperative games

Tetsuzo Tanino (2013)

Kybernetika

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In this paper we focus on one-point (point-valued) solutions for transferable utility games (TU-games). Since each allocated profit vector is identified with an additive game, a solution can be regarded as a mapping which associates an additive game with each TU-game. Recently Kultti and Salonen proposed a minimum norm problem to find the best approximation in the set of efficient additive games for a given TU-game. They proved some interesting properties of the obtained solution. However,...

Games with creatures

Saharon Shelah, Jindřich Zapletal (2003)

Commentationes Mathematicae Universitatis Carolinae

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Many forcing notions obtained using the creature technology are naturally connected with certain integer games.

Simple games in Łukasiewicz calculus and their cores

Petr Cintula, Tomáš Kroupa (2013)

Kybernetika

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We propose a generalization of simple coalition games in the context of games with fuzzy coalitions. Mimicking the correspondence of simple games with non-constant monotone formulas of classical logic, we introduce simple Łukasiewicz games using monotone formulas of Łukasiewicz logic, one of the most prominent fuzzy logics. We study the core solution on the class of simple Łukasiewicz games and show that cores of such games are determined by finitely-many linear constraints only. The...