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- W3124347232 abstract "A cooperative game with non-transferable utility (NTU-game) consists of a collection of payoff sets for the subsets of a finite set of players, for which it has to be determined how much payoff each player must receive. The core of an NTU-game consists of all payoff vectors that are in the payoff set of the coalition of all players and cannot be improved upon by any coalition of players. For cooperative games with transferable utility (TU-games) the notion of convexity was introduced to guarantee that the Shapley value, being the average of all marginal vectors of the game, is an element of the core. Convexity of a TU-game is equivalent to supermodularity of the characteristic function underlying the game. In this paper we introduce the concept of supermodularity for NTU-games. Super-modularity for NTU-games is weaker than other existing types of convexity. Under super-modularity of an NTU-game it is shown that all appropriately defined marginal vectors of the game are elements of the core. As solution concept for NTU-games we propose a set of solutions that is determined by the average of all marginal vectors of the game. For TU-games the solution set coincides with the Shapley value of the game. Also conditions are stated under which the solution set is a subset of the core and is the set of bargaining solutions of a corresponding bargaining problem." @default.
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- W3124347232 date "2014-01-01" @default.
- W3124347232 modified "2023-09-26" @default.
- W3124347232 title "Supermodular NTU-Games" @default.
- W3124347232 cites W1823997453 @default.
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- W3124347232 doi "https://doi.org/10.2139/ssrn.2523879" @default.
- W3124347232 hasPublicationYear "2014" @default.
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