Infinitely split Nash equilibrium problems in repeated games
Abstract 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,...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-04-01
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| Series: | Fixed Point Theory and Applications |
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| Online Access: | http://link.springer.com/article/10.1186/s13663-018-0636-1 |
| _version_ | 1818838291061932032 |
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| author | Jinlu Li |
| author_facet | Jinlu Li |
| author_sort | Jinlu Li |
| collection | DOAJ |
| description | Abstract 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. |
| first_indexed | 2024-12-19T03:36:03Z |
| format | Article |
| id | doaj.art-1cbe457bda134e6d89448e8ec6595330 |
| institution | Directory Open Access Journal |
| issn | 1687-1812 |
| language | English |
| last_indexed | 2024-12-19T03:36:03Z |
| publishDate | 2018-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Fixed Point Theory and Applications |
| spelling | doaj.art-1cbe457bda134e6d89448e8ec65953302022-12-21T20:37:22ZengSpringerOpenFixed Point Theory and Applications1687-18122018-04-012018111610.1186/s13663-018-0636-1Infinitely split Nash equilibrium problems in repeated gamesJinlu Li0Department of Mathematics, Shawnee State UniversityAbstract 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.http://link.springer.com/article/10.1186/s13663-018-0636-1Repeated gameInfinitely split Nash equilibriumNash equilibriumFixed point theorem on posets |
| spellingShingle | Jinlu Li Infinitely split Nash equilibrium problems in repeated games Fixed Point Theory and Applications Repeated game Infinitely split Nash equilibrium Nash equilibrium Fixed point theorem on posets |
| title | Infinitely split Nash equilibrium problems in repeated games |
| title_full | Infinitely split Nash equilibrium problems in repeated games |
| title_fullStr | Infinitely split Nash equilibrium problems in repeated games |
| title_full_unstemmed | Infinitely split Nash equilibrium problems in repeated games |
| title_short | Infinitely split Nash equilibrium problems in repeated games |
| title_sort | infinitely split nash equilibrium problems in repeated games |
| topic | Repeated game Infinitely split Nash equilibrium Nash equilibrium Fixed point theorem on posets |
| url | http://link.springer.com/article/10.1186/s13663-018-0636-1 |
| work_keys_str_mv | AT jinluli infinitelysplitnashequilibriumproblemsinrepeatedgames |