Matamalas Joan T, Poncela-Casasnovas Julia, Gómez Sergio, Arenas Alex
Departament d'Enginyeria Informàtica i Matemàtiques, Universitat Rovira i Virgili, 43007, Tarragona, Spain.
Sci Rep. 2015 Apr 27;5:9519. doi: 10.1038/srep09519.
Cooperation is a very common, yet not fully-understood phenomenon in natural and human systems. The introduction of a network within the population is known to affect the outcome of cooperative dynamics, allowing for the survival of cooperation in adverse scenarios. Recently, the introduction of multiplex networks has yet again modified the expectations for the outcome of the Prisoner's Dilemma game, compared to the monoplex case. However, much remains unstudied regarding other social dilemmas on multiplex, as well as the unexplored microscopic underpinnings of it. In this paper, we systematically study the evolution of cooperation in all four games in the T-S plane on multiplex. More importantly, we find some remarkable and previously unknown features in the microscopic organization of the strategies, that are responsible for the important differences between cooperative dynamics in monoplex and multiplex. Specifically, we find that in the stationary state, there are individuals that play the same strategy in all layers (coherent), and others that don't (incoherent). This second group of players is responsible for the surprising fact of a non full-cooperation in the Harmony Game on multiplex, never observed before, as well as a higher-than-expected cooperation rates in some regions of the other three social dilemmas.
合作是自然系统和人类系统中一种非常常见但尚未被完全理解的现象。已知在群体中引入网络会影响合作动态的结果，使得合作在不利情况下得以存续。最近，与单iplex情况相比，多重网络的引入再次改变了对囚徒困境博弈结果的预期。然而，关于多重网络上的其他社会困境以及其尚未被探索的微观基础，仍有很多未被研究的地方。在本文中，我们系统地研究了多重网络上T-S平面中所有四个博弈中合作的演化。更重要的是，我们在策略的微观组织中发现了一些显著且此前未知的特征，这些特征导致了单iplex和多重网络中合作动态的重要差异。具体而言，我们发现在稳态下，存在在所有层都采用相同策略的个体（相干），以及不这样做的个体（不相干）。后一组参与者导致了多重网络上和谐博弈中出现此前从未观察到的非完全合作这一惊人事实，以及在其他三个社会困境的某些区域中高于预期的合作率。
