Ordinal Games
Copyright policy )Ordinal Games
We study strategic games where players' preferences are weak orders which need not admit utility representations. First of all, we extend Voorneveld's concept of best-response potential from cardinal to ordinal games and derive the analogue of his characterization result: An ordinal game is a best-response potential game if and only if it does not have a best-response cycle. Further, Milgrom and Shannon's concept of quasi-supermodularity is extended from cardinal games to ordinal games. We find that under certain topological assumptions, the ordinal Nash equilibria of a quasi-supermodular game form a nonempty complete lattice. Finally, we extend several set-valued solution concepts from cardinal to ordinal games in our sense.
- Queen's University Belfast United Kingdom
- Jean Monnet University France
- Swiss Federal Institute of Technology Zürich Finland
- Swiss Federal Institute of Technology Zürich
- ETH Zurich Switzerland
Ordinal games, Economics, potential games, ordinal games, Ordinal Games, Potential Games, Quasi-Supermodularity, Rationalizable Sets, Sets Closed under Behavior Correspondences, Quasi-supermodularity, Individual preferences, Rationalizable Sets, Noncooperative games, C72, Ordinal games, potential games, quasi-supermodularity, rationalizable sets, sets closed under behavior relations, C72, quasi-supermodularity, Potential games, rationalizable sets, Ordinal Games,Potential Games,Quasi-Supermodularity,Rationalizable Sets,Sets Closed under Behavior Correspondences, Quasi-Supermodularity, Rationalizable sets, Sets closed under behavior correspondences, info:eu-repo/classification/ddc/330, Ordinal Games, ddc:330, Sets Closed under Behavior Correspondences, Nash-Gleichgewicht, Ordinal games; Potential games; Quasi-supermodularity; Rationalizable sets; Sets closed under behavior correspondences, Nichtkooperatives Spiel, Potential Games, sets closed under behavior relations, Theorie, jel: jel:C0, jel: jel:C6, jel: jel:C7, jel: jel:C72, jel: jel:M2, jel: jel:D5, jel: jel:B4, jel: jel:D7
Ordinal games, Economics, potential games, ordinal games, Ordinal Games, Potential Games, Quasi-Supermodularity, Rationalizable Sets, Sets Closed under Behavior Correspondences, Quasi-supermodularity, Individual preferences, Rationalizable Sets, Noncooperative games, C72, Ordinal games, potential games, quasi-supermodularity, rationalizable sets, sets closed under behavior relations, C72, quasi-supermodularity, Potential games, rationalizable sets, Ordinal Games,Potential Games,Quasi-Supermodularity,Rationalizable Sets,Sets Closed under Behavior Correspondences, Quasi-Supermodularity, Rationalizable sets, Sets closed under behavior correspondences, info:eu-repo/classification/ddc/330, Ordinal Games, ddc:330, Sets Closed under Behavior Correspondences, Nash-Gleichgewicht, Ordinal games; Potential games; Quasi-supermodularity; Rationalizable sets; Sets closed under behavior correspondences, Nichtkooperatives Spiel, Potential Games, sets closed under behavior relations, Theorie, jel: jel:C0, jel: jel:C6, jel: jel:C7, jel: jel:C72, jel: jel:M2, jel: jel:D5, jel: jel:B4, jel: jel:D7
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