arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 2411.05543q-bio.PEphysics.soc-ph

结合雪堆博弈与猎鹿博弈的三策略博弈中合作的演化

Evolution of cooperation in a three-strategy game combining snowdrift and stag hunt games

Hirofumi Takesue

更新

AI总结:

本研究结合雪堆与猎鹿博弈构建三策略博弈,发现个体解决方案降低合作,但在空间结构中可扩大合作共存区域,揭示多种机制促进合作演化。

AI中文摘要:

本研究旨在探究结合雪堆博弈与猎鹿博弈的三策略博弈的演化动力学。该博弈受一项实验研究的启发,该研究发现个体解决方案会降低合作水平。采取这一选项的个体旨在将问题解决到足以消除对自身负面影响的程度,尽管他们并不搭他人提供的合作努力的便车。个体解决方案的这一特性与猎鹿博弈中的背叛选项相似。因此,本研究考察了雪堆博弈中的背叛与个体解决方案之间相互作用的角色。充分混合的种群具有两个渐近稳定的不动点,其一为个体解决方案占据整个种群,其二为合作与背叛共存。方格晶格上的相互作用扩大了合作得以存续的参数区域,且三种策略常常共存。对演化过程的细致审视表明,根据参数值的不同,多种机制导致了三种策略的共存。我们的分析表明,考虑个体解决方案增加了演化过程的复杂性,这可能有助于我们理解合作的演化。

英文摘要:

This study aimed to investigate the evolutionary dynamics of a three-strategy game that combines snowdrift and stag hunt games. This game is motivated by an experimental study, which found that individual solution lowers cooperation levels. Agents adopting this option aim to address a problem to the extent necessary to remove negative impact on themselves, although they do not free ride on cooperation effort provided by others. This property of the individual solution is similar to that of option defection in the stag hunt. Thus, the role of the interplay of defection in the snowdrift game and individual solution was examined in this study. The well-mixed population has two asymptotically stable rest points, one wherein the individual solution occupies the population, and the other wherein cooperation and defection coexist. The interactions on a square lattice enlarge the parameter region wherein cooperation survives, and the three strategies often coexist. The scrutinization of the evolutionary process shows that multiple mechanisms lead to the coexistence of the three strategies depending on parameter values. Our analysis suggests that considering the individual solution adds complexity to the evolutionary process, which might contribute to our understanding on the evolution of cooperation.

补充信息

↑