Strategic Endogenous Network Construction Based On Variable Cost

In the era of rapid information dissemination in the Internet,the network has been integrated into our life and work,and has become an indispensable tool.In economic theory research,the network mainly uses game theory and graph theory to analyze the motivation of participants to establish links,to study the nature of the network under the equilibrium state and the methods to solve the effectiveness and stability of the network,and to explore various kinds of methods.This paper combines the above two methods to study the endogenous network of two-person symmetric game under the star cost structure chart,and constructs several network models.Firstly,this paper introduces the basic theoretical knowledge of strategic endogenous network game,including the concepts of coordination game,prisoner's dilemma and hawk-pigeon game,the types of game and the classification of model,including direct connection unilateral model and direct connection bilateral model.In the third chapter,we mainly study the network model under star cost structure.Main contents:(1)In the coordination game,we directly connect the characterization of the effective network and Nash network in the unilateral model,and the characterization of the effective network and the stable network in the bilateral model.(2)Prisoner's dilemma: directly connecting the characterization of effective network and Nash network under unilateral model,directly connecting the characterization of effective network and stable network under bilateral model;(3)In the hawk-pigeon game,the characterization of the effective network and Nash network directly connected to the unilateral model,and the characterization of the effective network and the stable network directly connected to the bilateral model.