Based On The Anti-synergy Game And The Non-exclusive Action Coordination Game Local Strategy Interaction

With the development of economic globalization, the communication between different social groups have become more and more frequent. People who travel frequently between two countries often speak two languages, hold two currencies and carry two credit cards, their behavior in social network can be described as the local strategic interaction based on the coordination game with non-exclusion convention. There is another interesting phenomenon in the realistic society, such as the completion of a task requires participants to take different actions or skills, as well as the realization of a meaningful interaction requires the participants to play different roles(buyers and sellers), anti-coordination game is an effective means to describe such phenomenon.In the context of exogenous network formation, the problem of coordination game with non-exclusive convention among players is studied, the social equilibrium structure and its features are proved when the strategic interaction radius is 1. The analytical results are complemented by Netlogo simulation program, and the simulation results illustrate that the number of players who choose Non-exclusive convention have the tendency to increase when the interaction radius increase. In the context of endogenous infinite lattice, the problem of local strategic interaction with anti-coordination game is studied, the Nash equilibrium structure is given under different parameters and different levels of cost. In the context of endogenous network formation, a further study of anti-coordination problem is made under the assumption that players who initially establish links with others bear the link cost, there are two levels of link cost based on players’ action choice. Nash equilibrium outcomes under different link cost levels are given completely in this paper, the efficient network types and numbers of players choose different actions are discussed in different cost levels.Local strategic interaction problems in social networks are hot research field at home and abroad, the domestic research in this field is still in its infancy stage. The findings in In the context of endogenous network formation have important innovation, the use of Netlogo simulation system to this kind of research is still rare. On the basis of the above work, it is entirely possible to expand and further the research from multiple perspectives at the same time.