Interaction Sheaves on Continuous Domains

Joseph Abdou and Hans Keiding
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Hans Keiding: UCPH - University of Copenhagen = Københavns Universitet

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Abstract: We introduce a description of the power structure which is inherent in a strategic gameform 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 gameforms with not necessarily finite sets of outcomes, generalizing the results on solvability of game forms obtained in the finite case in Abdou and Keiding [Abdou, J., Keiding, H., 2003. On necessary and sufficient conditions for solvability of game forms. Mathematical Social Sciences 46, 243-260].

Keywords: Nash equilibrium; Strong equilibrium; Solvability; Effectivity; Acyclicity (search for similar items in EconPapers)
Date: 2009-12
Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00633578v1
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Published in Journal of Mathematical Economics, 2009, 45 (11), pp.708-719. ⟨10.1016/j.jmateco.2009.05.005⟩

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Related works:
Journal Article: Interaction sheaves on continuous domains (2009)
Working Paper: Interaction Sheaves on Continuous Domains (2009)
Working Paper: Interaction Sheaves on Continuous Domains (2009)
Working Paper: Interaction sheaves on continuous domains (2008)
Working Paper: Interaction sheaves on continuous domains (2008)
Working Paper: Interaction Sheaves on Continuous Domains (2008)
Working Paper: Interaction sheaves on continuous domains (2008)
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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:halshs-00633578

DOI: 10.1016/j.jmateco.2009.05.005

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