| Presentation | 2007-01-17 Bifurcation Phenomena in Discrete-Time Replicator Dynamics with Reallocation of Payoffs : A Case of 2×2 Games Yasuhiko FUKUMOTO, Takafumi KANAZAWA, Toshimitsu USHIO, Hayato GOTO, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Replicator dynamics is used as a mathematical model of a government which takes off a part of earned payoffs from people and reallocates them to the people, to achieve a target social state. In this paper, we study the relationship between a rate of such the government's intervention and the stability of the target state. We focus on a 2×2 game, and study the relationship between the government's intervention and the bifurcation phenomena of fixed points. We show transcritical bifurcations and saddle-node bifurcations occur depending on a payoff matrix. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | evolutionary game / replicator dynamics / reallocation |
| Paper # | NLP2006-122 |
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| Committee | NLP |
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| Conference Date | 2007/1/10(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| 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) | Bifurcation Phenomena in Discrete-Time Replicator Dynamics with Reallocation of Payoffs : A Case of 2×2 Games |
| Sub Title (in English) | |
| Keyword(1) | evolutionary game |
| Keyword(2) | replicator dynamics |
| Keyword(3) | reallocation |
| 1st Author's Name | Yasuhiko FUKUMOTO |
| 1st Author's Affiliation | Graduate School of Engineering Science, Osaka University() |
| 2nd Author's Name | Takafumi KANAZAWA |
| 2nd Author's Affiliation | Graduate School of Engineering Science, Osaka University |
| 3rd Author's Name | Toshimitsu USHIO |
| 3rd Author's Affiliation | Graduate School of Engineering Science, Osaka University |
| 4th Author's Name | Hayato GOTO |
| 4th Author's Affiliation | Graduate School of Engineering Science, Osaka University |
| Date | 2007-01-17 |
| Paper # | NLP2006-122 |
| Volume (vol) | vol.106 |
| Number (no) | 451 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |