Fixed point theorems and their applications to theory of Nash equilibria

S. Heikkilä, Kevin Reffett

Research output: Contribution to journalArticlepeer-review

22 Scopus citations

Abstract

In this paper we prove fixed point theorems for set-valued mappings in products of posets. Applications to the theory of Nash equilibria are presented.

Original languageEnglish (US)
Pages (from-to)1415-1436
Number of pages22
JournalNonlinear Analysis, Theory, Methods and Applications
Volume64
Issue number7
DOIs
StatePublished - Apr 1 2006

Keywords

  • Ascending
  • Fixed point
  • Generalized iterations
  • Increasing
  • Multi-player game
  • Nash equilibrium
  • Poset
  • Product space
  • Set-valued mapping

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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