adaptive and bounded investment returns promote cooperation in spatial public goods games自适应和有界空间公共产品的投资回报促进合作游戏.pdfVIP

Adaptive and Bounded Investment Returns Promote Cooperation in Spatial Public Goods Games 1 2,3,4 5 6 ˇ 7 Xiaojie Chen *, Yongkui Liu , Yonghui Zhou , Long Wang , Matjaz Perc * 1 Evolution and Ecology Program, International Institute for Applied Systems Analysis, Laxenburg, Austria, 2 School of Automation Science and Electrical Engineering, Beihang University, Beijing, China, 3 School of Electronic and Control Engineering, Chang’an University, Xi’an, China, 4 Center for Road Traffic Intelligent Detection and Equipment Engineering, Chang’an University, Xi’an, China, 5 School of Mathematics and Computer Science, Guizhou Normal University, Guiyang, China, 6 State Key Laboratory for Turbulence and Complex Systems, College of Engineering, Peking University, Beijing, China, 7 Department of Physics, Faculty of Natural Sciences and Mathematics, University of Maribor, Slovenia Abstract The public goods game is one of the most famous models for studying the evolution of cooperation in sizable groups. The multiplication factor in this game can characterize the investment return from the public good, which may be variable depending on the interactive environment in realistic situations. Instead of using the same universal value, here we consider that the multiplication factor in each group is updated based on the differences between the local and global interactive environments in the spatial public goods game, but meanwhile limited to within a certain range. We find that the adaptive and bounded investment returns can significantly promote cooperation. In particular, full cooperation can be achieved for high feedback strength when appropriate limitation is set for the investment return. Also, we show that the fraction