JACQUES DURIEU () (CREUSET, University of Saint-Etienne, 42023 Saint-Etienne, France) HANS HALLER () (Department of Economics, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061-0316, USA) NICOLAS QUEROU () (Queen's University Management School, Queen's University, Belfast, Northern Ireland, UK) PHILIPPE SOLAL () (CREUSET, University of Saint-Etienne, 42023 Saint-Etienne, France)
Abstract
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.
Download Info
To download:
If you experience problems downloading a file, check if you have the
proper application to
view it first. Information about this may be contained
in the File-Format links below. In case of further problems read
the IDEAS help
page. Note that these files are not on the IDEAS
site. Please be patient as the files may be large.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
Find related papers by JEL classification: B4 - Schools of Economic Thought and Methodology - - Economic Methodology C0 - Mathematical and Quantitative Methods - - General C6 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory D5 - Microeconomics - - General Equilibrium and Disequilibrium D7 - Microeconomics - - Analysis of Collective Decision-Making M2 - Business Administration and Business Economics; Marketing; Accounting - - Business Economics