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Monotonicity of the mapping associated with a noncooperative multiperson game
| Content Provider | Semantic Scholar |
|---|---|
| Author | Golshtein, Evgenij G. |
| Copyright Year | 2009 |
| Abstract | A noncooperative multiperson game can be associated with a mapping that generates a variational inequality. The problem of searching for Nash points in the game is equivalent to solving this inequality. Numerical methods for solving the variational inequality rely heavily on the monotonicity of the mapping generating the inequality. At the same time, the mapping associated with the noncooperative multiperson game may not be monotone. Necessary and sufficient conditions are established under which the mapping associated with a finite noncooperative mixed-strategy game of three or more persons is monotone. |
| Starting Page | 1483 |
| Ending Page | 1492 |
| Page Count | 10 |
| File Format | PDF HTM / HTML |
| DOI | 10.1134/S0965542509090024 |
| Volume Number | 49 |
| Alternate Webpage(s) | https://page-one.springer.com/pdf/preview/10.1134/S0965542509090024 |
| Alternate Webpage(s) | https://doi.org/10.1134/S0965542509090024 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
