Characterizing Monotone Games

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dc.contributor.authorBarthel, Ann-Christine
dc.contributor.authorHoffman, Eric
dc.date.accessioned2020-07-15T15:44:42Z
dc.date.available2020-07-15T15:44:42Z
dc.date.issued2020-03-05
dc.descriptionWe expect to find necessary and sufficient conditions on the player's payoff functions that guarantee that a game that is not a GSH can be transformed into a GSH.en_US
dc.description.abstractSolution concepts in games of strategic heterogeneity (GSH), which include games of strategic complements (GSC) as a special case, have been shown to possess very useful properties, such as the existence of highest and lowest serially undominated strategies, and the equivalence of the stability of equilibria and dominance solvability. The main result of this paper gives necessary and sufficient conditions for when a very general class of games, referred to as games of mixed heterogeneity (GMH), can be transformed into GSH in such a way so that these properties are preserved, allowing us to draw the same strong conclusions about solution sets in games that are not originally GSH. This is achieved by reversing the orders on the actions spaces of a given subset of players. Our second main result shows, rather surprisingly, that under mild conditions on the underlying ordering of action spaces, the reversal of orders is the only way in which such a transformation can be achieved. Applications to aggregate games, market games, and crime networks are given.en_US
dc.identifier.citationBarthel, AC. & Hoffmann, E. Characterizing Monotone Games. Economic Theory (forthcoming). https://doi.org/10.1007/s00199-019-01242-3en_US
dc.identifier.urihttps://hdl.handle.net/11310/305
dc.language.isoen_USen_US
dc.publisherWTAMU Cornette Libraryen_US
dc.titleCharacterizing Monotone Gamesen_US
dc.typePresentationen_US

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2020 Faculty Research Poster Session and Research Fair