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First World Congress of the Game Theory Society (Games 2000)
July 24-28, 2000
Basque Country University and Fundacion B.B.V.
Bilbao, Spain

Organizers
Ehud Kalai, Federico Valenciano

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On Necessary and sufficient conditions for strong solvability of game forms
by
Joseph Abdou
University of Paris 1
Coauthors: Hans Keiding

A game form is strongly solvable if for each assigment of individual preferences over outcomes, the resulting game possesses a strong Nash equilibrium. Several necessary conditions for strong solvability can be found in the literature; in this paper we give conditions which are both necesssary and sufficient. These conditions use an extension of the concept of the effectivity function associated with the game form and property of acyclicity of this extended effectivity function.

Date received: June 24, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cafk-90.