Implementations of Cooperative Games Under Non-Cooperative Solution Concepts
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866914752727351296 |
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| author | Chan, Justin |
| author_facet | Chan, Justin |
| contents | Cooperative games can be distinguished as non-cooperative games in which players can freely sign binding agreements to form coalitions. These coalitions inherit a joint strategy set and seek to maximize collective payoffs. When the payoffs to each coalition under some non-cooperative solution concept coincide with their value in the cooperative game, the cooperative game is said to be implementable and the non-cooperative game its implementation. This paper proves that all strictly superadditive partition function form games are implementable under Nash equilibrium and rationalizability; that all weakly superadditive characteristic function form games are implementable under Nash equilibrium; and that all weakly superadditive partition function form games are implementable under trembling hand perfect equilibrium. Discussion then proceeds on the appropriate choice of non-cooperative solution concept for the implementation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_14952 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Implementations of Cooperative Games Under Non-Cooperative Solution Concepts Chan, Justin Theoretical Economics Cooperative games can be distinguished as non-cooperative games in which players can freely sign binding agreements to form coalitions. These coalitions inherit a joint strategy set and seek to maximize collective payoffs. When the payoffs to each coalition under some non-cooperative solution concept coincide with their value in the cooperative game, the cooperative game is said to be implementable and the non-cooperative game its implementation. This paper proves that all strictly superadditive partition function form games are implementable under Nash equilibrium and rationalizability; that all weakly superadditive characteristic function form games are implementable under Nash equilibrium; and that all weakly superadditive partition function form games are implementable under trembling hand perfect equilibrium. Discussion then proceeds on the appropriate choice of non-cooperative solution concept for the implementation. |
| title | Implementations of Cooperative Games Under Non-Cooperative Solution Concepts |
| topic | Theoretical Economics |
| url | https://arxiv.org/abs/2402.14952 |