| Presentation | 2003/10/14 Evolutionary Stability under Coexistence of Heterogeneous Groups with Different Payoff Functions : A Case of Two Groups Takafumi KANAZAWA, Toshimitsu USHIO, Tatsushi YAMASAKI, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | In evolutionary game theory, it is assumed that all individuals in a population have the same set of strategies and the same payoff function. However, this assumption does not always hold in a population where there exist several heterogeneous groups with different payoff functions. In this paper, we consider a situation that there exist two heterogeneous groups in a population, and each individual meets both individuals with the same payoff function and those with a different one. First, we show a necessary and sufficient condition for a strategy to be evolutionarily stable. Next, we derive replicator dynamics and discuss the relationship between asymptotic stability of equilibrium points and their evolutionary stability. Finally, in a case that each group has only two strategies, we investigate properties of asymptotically stable equilibrium points. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Evolutionary game / Replicator Dynamics / Evolutionary stability |
| Paper # | NLP2003-96 |
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| Committee | NLP |
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| Conference Date | 2003/10/14(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Registration To | Nonlinear Problems (NLP) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Evolutionary Stability under Coexistence of Heterogeneous Groups with Different Payoff Functions : A Case of Two Groups |
| Sub Title (in English) | |
| Keyword(1) | Evolutionary game |
| Keyword(2) | Replicator Dynamics |
| Keyword(3) | Evolutionary stability |
| 1st Author's Name | Takafumi KANAZAWA |
| 1st Author's Affiliation | Graduate School of Engineering Science, Osaka University() |
| 2nd Author's Name | Toshimitsu USHIO |
| 2nd Author's Affiliation | Graduate School of Engineering Science, Osaka University |
| 3rd Author's Name | Tatsushi YAMASAKI |
| 3rd Author's Affiliation | School of Science and Technology, Kwansei Gakuin University |
| Date | 2003/10/14 |
| Paper # | NLP2003-96 |
| Volume (vol) | vol.103 |
| Number (no) | 375 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |