Infinitely split Nash equilibrium problems in repeated games

In this paper, we introduce the concept of infinitely split Nash equilibrium in repeated games in which the profile sets are chain-complete posets. Then by using a fixed point theorem on posets in (J. Math. Anal. Appl. 409:1084–1092, 2014 ), we prove an existence theorem. As an application, we study...

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Vydané v:	Fixed point theory and algorithms for sciences and engineering Ročník 2018; číslo 1; s. 1 - 16
Hlavný autor:	Li, Jinlu
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Cham Springer International Publishing 23.04.2018 Springer Nature B.V SpringerOpen
Predmet:	Analysis Applications of Mathematics Differential Geometry Economic models Existence theorems Fixed point theorem on posets Fixed points (mathematics) Game theory Infinitely split Nash equilibrium Iterative Methods and Optimization Algorithms: A Dedication to Dr. Hong-Kun Xu Mathematical and Computational Biology Mathematics Mathematics and Statistics Nash equilibrium Repeated game Set theory Topology Fixed point theorem on posets Repeated game 91A10 49J52 49J40 91A25 Nash equilibrium 91A80 Infinitely split Nash equilibrium
ISSN:	1687-1812, 1687-1812, 2730-5422
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Shrnutí:	In this paper, we introduce the concept of infinitely split Nash equilibrium in repeated games in which the profile sets are chain-complete posets. Then by using a fixed point theorem on posets in (J. Math. Anal. Appl. 409:1084–1092, 2014 ), we prove an existence theorem. As an application, we study the repeated extended Bertrant duopoly model of price competition.
Bibliografia:	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14
ISSN:	1687-1812 1687-1812 2730-5422
DOI:	10.1186/s13663-018-0636-1