On the existence of equilibria in games with arbitrary strategy spaces and preferences Academic Article uri icon

abstract

  • 2015 Elsevier B.V. This paper provides necessary and sufficient conditions for the existence of pure strategy Nash equilibria by replacing the assumptions concerning continuity and quasiconcavity with a unique condition, passing strategy space from topological vector spaces to arbitrary topological spaces. Preferences may also be nontotal/nontransitive, discontinuous, nonconvex, or nonmonotonic. We define a single condition, recursive diagonal transfer continuity (RDTC) for aggregator payoff function and recursive weak transfer quasi-continuity (RWTQC) for individuals' preferences, respectively, which establishes the existence of pure strategy Nash equilibria in games with arbitrary (topological) strategy spaces and preferences without imposing any kind of quasiconcavity-related conditions.

published proceedings

  • Journal of Mathematical Economics

altmetric score

  • 3

author list (cited authors)

  • Tian, G.

citation count

  • 11

complete list of authors

  • Tian, Guoqiang

publication date

  • January 2015