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Author Abdou, Joseph M. ♦ Keiding, Hans
Source Hyper Articles en Ligne (HAL)
Content type Text
File Format PDF
Language English
Subject Keyword Nash equilibrium ♦ strong equilibrium ♦ solvability ♦ effectivity ♦ acyclicity ♦ Equilibre de Nash ♦ équilibre fort ♦ résolubilité ♦ acyclicité ♦ shs ♦ math ♦ Humanities and Social Sciences/Economies and finances ♦ Mathematics [math]/Optimization and Control [math.OC]
Abstract We introduce a description of the power structure which is inherent in a strategic game form using the concept of an interaction sheaf. The latter assigns to each open set of outcomes a set of interaction arrays, specifying the changes that coalitions can make if outcome belongs to this open set. The interaction sheaf generalizes the notion of effectivity functions which has been widely used in implementation theory, taking into consideration that changes in outcome may be sustained not only by single coalitions but possibly by several coalitions, depending on the underlying strategy choices. Also, it allows us to consider game forms with not necessarily finite sets of outcomes, generalizing the results on solvability of game forms obtained in the finite case in Abdou and Keiding (2003).
ISSN 1955611X
Educational Use Research
Learning Resource Type Article
Publisher Date 2008-04-01