Strong equilibria in claim games corresponding to convex games

Strong equilibria in claim games corresponding to convex games

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Article ID: iaor19992508
Country: Germany
Volume: 27
Issue: 2
Start Page Number: 211
End Page Number: 217
Publication Date: Jan 1998
Journal: International Journal of Game Theory
Authors: , , ,
Abstract:

This paper deals with a specific aspect of the problem of coalition formation in a situation described by a TU-game. First, we define a very simple normal form game which models the process of coalition formation. To define the payoff functions of the players we use an allocation rule for TU-games. The main objective of this paper is to ascertain what conditions of the allocation rule lead to the grand coalition being a strong equilibrium of the normal form game, when the original TU-game is convex.

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