Ma Chengzhang, Cao Wei, Liu Wangheng, Gui Rong, Jia Ya
Department of Physics and Institute of Biophysics, Huazhong Normal University, Wuhan, China ; Department of Applied Physics, College of Science, Huazhong Agricultural University, Wuhan, China.
Department of Physics and Institute of Biophysics, Huazhong Normal University, Wuhan, China.
PLoS One. 2013 Dec 20;8(12):e81855. doi: 10.1371/journal.pone.0081855. eCollection 2013.
A direct sum form is proposed for constructing a composite game from two 2 x 2 games, prisoner's dilemma and snowdrift game. This kind of direct sum form game is called a multiple roles game. The replicator dynamics of the multiple roles game with will-mixed populations is explored. The dynamical behaviors on square lattice are investigated by numerical simulation. It is found that the dynamical behaviors of population on square lattice depend on the mixing proportion of the two simple games. Mixing SD activities to pure PD population inhibits the proportion of cooperators in PD, and mixing PD activities to pure SD population stimulates the proportion of cooperators in SD. Besides spatial reciprocity, our results show that there are roles reciprocities between different types of individuals.
提出了一种直接和形式，用于从两个2×2博弈（囚徒困境和雪堆博弈）构建复合博弈。这种直接和形式的博弈被称为多角色博弈。研究了具有意愿混合群体的多角色博弈的复制者动力学。通过数值模拟研究了方形晶格上的动力学行为。发现方形晶格上群体的动力学行为取决于两个简单博弈的混合比例。将雪堆博弈活动混入纯囚徒困境群体中会抑制囚徒困境中合作者的比例，而将囚徒困境活动混入纯雪堆博弈群体中会刺激雪堆博弈中合作者的比例。除了空间互惠性，我们的结果表明不同类型个体之间还存在角色互惠性。
