A geometrical perspective for the bargaining problem.
A new treatment to determine the Pareto-optimal outcome for a non-zero-sum game is presented. An equilibrium point for any game is defined here as a set of strategy choices for the players, such that no change in the choice of any single player will increase the overall payoff of all the players. De...
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| Format: | Article |
| Language: | English |
| Published: |
Public Library of Science (PLoS)
2010-01-01
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| Series: | PLoS ONE |
| Online Access: | http://europepmc.org/articles/PMC2859940?pdf=render |
| _version_ | 1818953070832254976 |
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| author | Kelvin Kian Loong Wong |
| author_facet | Kelvin Kian Loong Wong |
| author_sort | Kelvin Kian Loong Wong |
| collection | DOAJ |
| description | A new treatment to determine the Pareto-optimal outcome for a non-zero-sum game is presented. An equilibrium point for any game is defined here as a set of strategy choices for the players, such that no change in the choice of any single player will increase the overall payoff of all the players. Determining equilibrium for multi-player games is a complex problem. An intuitive conceptual tool for reducing the complexity, via the idea of spatially representing strategy options in the bargaining problem is proposed. Based on this geometry, an equilibrium condition is established such that the product of their gains over what each receives is maximal. The geometrical analysis of a cooperative bargaining game provides an example for solving multi-player and non-zero-sum games efficiently. |
| first_indexed | 2024-12-20T10:00:26Z |
| format | Article |
| id | doaj.art-bb44f7f8c6914645b19d0ae07a12cd81 |
| institution | Directory Open Access Journal |
| issn | 1932-6203 |
| language | English |
| last_indexed | 2024-12-20T10:00:26Z |
| publishDate | 2010-01-01 |
| publisher | Public Library of Science (PLoS) |
| record_format | Article |
| series | PLoS ONE |
| spelling | doaj.art-bb44f7f8c6914645b19d0ae07a12cd812022-12-21T19:44:21ZengPublic Library of Science (PLoS)PLoS ONE1932-62032010-01-0154e1033110.1371/journal.pone.0010331A geometrical perspective for the bargaining problem.Kelvin Kian Loong WongA new treatment to determine the Pareto-optimal outcome for a non-zero-sum game is presented. An equilibrium point for any game is defined here as a set of strategy choices for the players, such that no change in the choice of any single player will increase the overall payoff of all the players. Determining equilibrium for multi-player games is a complex problem. An intuitive conceptual tool for reducing the complexity, via the idea of spatially representing strategy options in the bargaining problem is proposed. Based on this geometry, an equilibrium condition is established such that the product of their gains over what each receives is maximal. The geometrical analysis of a cooperative bargaining game provides an example for solving multi-player and non-zero-sum games efficiently.http://europepmc.org/articles/PMC2859940?pdf=render |
| spellingShingle | Kelvin Kian Loong Wong A geometrical perspective for the bargaining problem. PLoS ONE |
| title | A geometrical perspective for the bargaining problem. |
| title_full | A geometrical perspective for the bargaining problem. |
| title_fullStr | A geometrical perspective for the bargaining problem. |
| title_full_unstemmed | A geometrical perspective for the bargaining problem. |
| title_short | A geometrical perspective for the bargaining problem. |
| title_sort | geometrical perspective for the bargaining problem |
| url | http://europepmc.org/articles/PMC2859940?pdf=render |
| work_keys_str_mv | AT kelvinkianloongwong ageometricalperspectiveforthebargainingproblem AT kelvinkianloongwong geometricalperspectiveforthebargainingproblem |