Abstract Neighborhood size is an important factor in the spatial prisoner’s dilemma game. Traditional static interaction range does not adapt to the dynamic social environment. Therefore, it is necessary to study the adaptive adjustment mechanism of the interaction range. In order to enhance the adaptability of individuals to the dynamic social environment, in this paper we propose an interaction range adjustment mechanism based on the aspiration of payoff. Specifically, the interaction range tends to expand according to a certain probability when the current actual payoff reaches or exceeds the aspired payoff. Otherwise, the interaction range will shrink with a certain probability. Simulation results show that such a mechanism of interaction range adjustment can remarkably promote cooperation. The probability of adjusting the interaction range has a great impact on cooperation evolution. Cooperation can be effectively established in a population in which individuals are with higher shrinkage and lower expansion probabilities. Moreover, the aspiration level is an important factor to affect the effectiveness of the interaction range adjustment. Larger aspiration level is more advantageous to promoting cooperation when the aspiration level is less than 1, while cooperators cannot survive when the aspiration level is larger than 1. The underlying mechanism is furthermore explored, revealing that the ‘isolation zones’ composed of individuals with zero interaction radius play an important role in promoting cooperation.

中文翻译：

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空间囚徒困境博弈中基于愿望调整交互范围的合作演化

摘要 邻域大小是空间囚徒困境博弈中的一个重要因素。传统的静态交互范围不适应动态的社会环境。因此，有必要研究交互范围的自适应调整机制。为了增强个体对动态社会环境的适应能力，本文提出了一种基于回报愿望的交互范围调整机制。具体而言，当当前实际收益达到或超过期望收益时，交互范围会按照一定的概率扩大。否则，交互范围会以一定的概率缩小。仿真结果表明，这种交互范围调整机制可以显着促进合作。调整交互范围的概率对合作演化有很大影响。在个体具有较高收缩和较低扩张概率的群体中，可以有效地建立合作。而且，抽吸水平是影响交互范围调整有效性的重要因素。当愿望水平小于1时，较大的愿望水平更有利于促进合作，而当愿望水平大于1时，合作者无法生存。 进一步探索潜在机制，揭示由零个体组成的“隔离区”互动半径对促进合作具有重要作用。在个体具有较高收缩和较低扩张概率的群体中，可以有效地建立合作。而且，抽吸水平是影响交互范围调整有效性的重要因素。当愿望水平小于1时，较大的愿望水平更有利于促进合作，而当愿望水平大于1时，合作者无法生存。 进一步探索潜在机制，揭示由零个体组成的“隔离区”互动半径对促进合作具有重要作用。在个体具有较高收缩和较低扩张概率的群体中，可以有效地建立合作。而且，抽吸水平是影响交互范围调整有效性的重要因素。当愿望水平小于1时，较大的愿望水平更有利于促进合作，而当愿望水平大于1时，合作者无法生存。 进一步探索潜在机制，揭示由零个体组成的“隔离区”互动半径对促进合作具有重要作用。