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来源类型 | Article |
规范类型 | 其他 |
DOI | 10.3934/jdg.2017005 |
Discretized best-response dynamics for the rock-paper-scissors game. | |
Hofbauer J; Bednarik P | |
发表日期 | 2017 |
出处 | Journal of Dynamics and Games 4 (1): 75-86 |
出版年 | 2017 |
语种 | 英语 |
摘要 | Discretizing a differential equation may change the qualitative behaviour drastically, even if the stepsize is small. We illustrate this by looking at the discretization of a piecewise continuous differential equation that models a population of agents playing the Rock-Paper-Scissors game. The globally asymptotically stable equilibrium of the differential equation turns, after discretization, into a repeller surrounded by an annulus shaped attracting region. In this region, more and more periodic orbits emerge as the discretization step approaches zero. |
主题 | Evolution and Ecology (EEP) |
关键词 | Best response dynamics, discretization, periodic orbits, rock-paper-scissors game |
URL | http://pure.iiasa.ac.at/id/eprint/14353/ |
来源智库 | International Institute for Applied Systems Analysis (Austria) |
引用统计 | |
资源类型 | 智库出版物 |
条目标识符 | http://119.78.100.153/handle/2XGU8XDN/130804 |
推荐引用方式 GB/T 7714 | Hofbauer J,Bednarik P. Discretized best-response dynamics for the rock-paper-scissors game.. 2017. |
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13544.pdf(289KB) | 智库出版物 | 限制开放 | CC BY-NC-SA | 浏览 |
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