Skip to Main content Skip to Navigation
New interface
Other publications

Ordinal Games

Abstract : We study strategic games where players' preferences are weak orders which need not admit utility representations. First of all, we ex- tend Voorneveld's concept of best-response potential from cardinal to ordi- nal games and derive the analogue of his characterization result: An ordi- nal 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 ¯nd that under certain compactness and semicontinuity 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.
Document type :
Other publications
Complete list of metadata
Contributor : Soledad Beudon Connect in order to contact the contributor
Submitted on : Friday, December 7, 2007 - 2:29:21 PM
Last modification on : Tuesday, May 4, 2021 - 2:28:01 PM
Long-term archiving on: : Thursday, September 27, 2012 - 10:56:08 AM


Publisher files allowed on an open archive


  • HAL Id : ujm-00194794, version 1



Jacques Durieu, Hans Haller, Nicolas Quérou, Philippe Solal. Ordinal Games. 2007. ⟨ujm-00194794⟩



Record views


Files downloads