Allocation processes in cooperative games

Allocation processes in cooperative games

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Article ID: iaor20041714
Country: Germany
Volume: 31
Issue: 3
Start Page Number: 341
End Page Number: 351
Publication Date: Jan 2002
Journal: International Journal of Game Theory
Authors:
Abstract:

This paper deals with a temporal aspect of cooperative games. A solution of the game is reached through an allocation process. At each stage of the allocation process of a cooperative game a budget of fixed size is distributed among the players. In the first part of this paper we study a type of process that, at any stage, endows the budget to a player whose contribution to the total welfare, according to some measurements, is maximal. It is shown that the empirical distribution of the budget induced by each process of the family converges to a least square value of the game, one such value being the Shapley value. Other allocation processes presented here converge to the core or to the least core.

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