Core solutions in vector-valued games

Core solutions in vector-valued games

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Article ID: iaor2003347
Country: United States
Volume: 112
Issue: 2
Start Page Number: 331
End Page Number: 360
Publication Date: Feb 2002
Journal: Journal of Optimization Theory and Applications
Authors: , ,
Abstract:

In this paper, we analyze core solution concepts for vector-valued cooperative games. In these games, the worth of a coalition is given by a vector rather than by a scalar. Thus, the classical concepts in cooperative game theory have to be revisited and redefined; the important principles of individual and collective rationality must be accommodated; moreover, the sense given to the domination relationship gives rise to two different theories. Although different, we show the areas which they share. This analysis permits us to propose a common solution concept that is analogous to the core for scalar cooperative games.

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