Fixed point theorems and their applications to theory of Nash equilibria

S. Heikkilä; Kevin Reffett

doi:10.1016/j.na.2005.06.043

Fixed point theorems and their applications to theory of Nash equilibria

S. Heikkilä, Kevin Reffett

Economics

Research output: Contribution to journal › Article › peer-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 language	English (US)
Pages (from-to)	1415-1436
Number of pages	22
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	64
Issue number	7
DOIs	https://doi.org/10.1016/j.na.2005.06.043
State	Published - 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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10.1016/j.na.2005.06.043

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title = "Fixed point theorems and their applications to theory of Nash equilibria",

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.",

keywords = "Ascending, Fixed point, Generalized iterations, Increasing, Multi-player game, Nash equilibrium, Poset, Product space, Set-valued mapping",

author = "S. Heikkil{\"a} and Kevin Reffett",

year = "2006",

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AU - Reffett, Kevin

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N2 - 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.

AB - 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.

KW - Ascending

KW - Fixed point

KW - Generalized iterations

KW - Increasing

KW - Multi-player game

KW - Nash equilibrium

KW - Poset

KW - Product space

KW - Set-valued mapping

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M3 - Article

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SP - 1415

EP - 1436

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 7

ER -

Fixed point theorems and their applications to theory of Nash equilibria

Abstract

Keywords

ASJC Scopus subject areas

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