A Cooperative Dual to the Nash Equilibrium for Two-Person Prescriptive Games
An alternative to the Nash equilibrium (NE) is presented for two-person, one-shot prescriptive games in normal form, where the outcome is determined by an arbiter. The NE is the fundamental solution concept in noncooperative game theory. It is based on the assumption that players are completely self...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/806794 |
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| author | H. W. Corley Phantipa Kwain |
| author_facet | H. W. Corley Phantipa Kwain |
| author_sort | H. W. Corley |
| collection | DOAJ |
| description | An alternative to the Nash equilibrium (NE) is presented for two-person, one-shot prescriptive games in normal form, where the outcome is determined by an arbiter. The NE is the fundamental solution concept in noncooperative game theory. It is based on the assumption that players are completely selfish. However, NEs are often not played in practice, so we present a cooperative dual as an alternative solution concept by which an arbiter can assign the players' actions. In this dual equilibrium (DE), each player acts in the other's best interest. We formally define prescriptive games and the DE, then summarize the duality relationships between the NE and DE for two players. We also apply the DE to some prescriptive games and compare it to other outcomes. |
| format | Article |
| id | doaj-art-f365c0437c76481ca683107143b781e7 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-f365c0437c76481ca683107143b781e72025-02-03T01:11:47ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/806794806794A Cooperative Dual to the Nash Equilibrium for Two-Person Prescriptive GamesH. W. Corley0Phantipa Kwain1Center on Stochastic Modelling, Optimization, and Statistics (COSMOS), The University of Texas at Arlington, P.O. Box 19017, Arlington, TX 76019-0017, USATransSolutions, LLC., Fort Worth, TX 76155, USAAn alternative to the Nash equilibrium (NE) is presented for two-person, one-shot prescriptive games in normal form, where the outcome is determined by an arbiter. The NE is the fundamental solution concept in noncooperative game theory. It is based on the assumption that players are completely selfish. However, NEs are often not played in practice, so we present a cooperative dual as an alternative solution concept by which an arbiter can assign the players' actions. In this dual equilibrium (DE), each player acts in the other's best interest. We formally define prescriptive games and the DE, then summarize the duality relationships between the NE and DE for two players. We also apply the DE to some prescriptive games and compare it to other outcomes.http://dx.doi.org/10.1155/2014/806794 |
| spellingShingle | H. W. Corley Phantipa Kwain A Cooperative Dual to the Nash Equilibrium for Two-Person Prescriptive Games Journal of Applied Mathematics |
| title | A Cooperative Dual to the Nash Equilibrium for Two-Person Prescriptive Games |
| title_full | A Cooperative Dual to the Nash Equilibrium for Two-Person Prescriptive Games |
| title_fullStr | A Cooperative Dual to the Nash Equilibrium for Two-Person Prescriptive Games |
| title_full_unstemmed | A Cooperative Dual to the Nash Equilibrium for Two-Person Prescriptive Games |
| title_short | A Cooperative Dual to the Nash Equilibrium for Two-Person Prescriptive Games |
| title_sort | cooperative dual to the nash equilibrium for two person prescriptive games |
| url | http://dx.doi.org/10.1155/2014/806794 |
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