Du Jinming, Wu Bin, Wang Long
Center for Systems and Control, College of Engineering, Peking University, Beijing, China.
Phys Rev E Stat Nonlin Soft Matter Phys. 2012 May;85(5 Pt 2):056117. doi: 10.1103/PhysRevE.85.056117. Epub 2012 May 22.
Globalization facilitates our communication with each other, while it magnifies problems such as overharvesting of natural resources and human-induced climate change. Thus people all over the world are involved in a global social dilemma which calls for worldwide cooperation to reduce the risks of these extreme events and disasters. A collective target (threshold) is required to prevent such events. Everyone may lose their wealth once their total individual contributions fail to reach the threshold. To this end, we establish a model of threshold public goods games in a group-structured population and investigate its evolutionary process. We study multilevel public goods games with defectors, local cooperators, and global cooperators and are primarily concerned with how the global cooperative behavior evolves. We find that, compared with the standard public goods games, the strategy of global cooperation accounts for a bigger proportion in the stationary distribution of threshold public goods games. On the other hand, the fixation time of the global cooperation strategy is greatly shortened with increase of the probability of disaster striking. Therefore, global risks induced by the threshold can effectively promote global cooperation in environmental investment and the reduction of greenhouse gas emissions.
全球化促进了我们彼此之间的交流,同时也放大了诸如自然资源过度开采和人为导致的气候变化等问题。因此,全世界的人们都陷入了一个全球性的社会困境,这需要全球合作来降低这些极端事件和灾难的风险。需要一个集体目标(阈值)来预防此类事件。一旦个人贡献的总和未达到阈值,每个人都可能失去自己的财富。为此,我们在群体结构的种群中建立了一个阈值公共品博弈模型,并研究其进化过程。我们研究了包含背叛者、局部合作者和全球合作者的多层次公共品博弈,主要关注全球合作行为是如何演变的。我们发现,与标准公共品博弈相比,在阈值公共品博弈的稳态分布中,全球合作策略所占比例更大。另一方面,随着灾难发生概率的增加,全球合作策略的固定时间大大缩短。因此,由阈值引发的全球风险能够有效地促进全球在环境投资方面的合作以及温室气体排放的减少。