Research On Several Types Of Network Games With Heterogeneous Players And Their Applications

In the study of various types of games,it is generally assumed that players in the game are homogenous,that is,assuming that there is no difference among players except the numbers of them in games,but differences in the ability and status of the players may result in huge impact on the results of games.From the perspective of heterogeneity of players,a two-stage network game and the time consistency issue of a cooperative solution concept,the pairwise stability of networks in insider-outsider model,and the stability of the coalition structure are investigated.First of all,under the background of the Belt and Road Initiative,the model of two-stage dynamic cooperative network games is established.In the cooperative case,the time consistency problem of the Shapley value with exogenous directed graph constraints is investigated.Moreover,the time-consistent imputation distribution procedure is designed.In particular,it is proved that the second stage cooperative subgame is convex game.Secondly,under the JW rules of network formation,pairwise stability is studied in insider-outsider model with two cases in which there is decay as well as no decay of value.In the network formation process,the cost of link formation is heterogeneous.And the link cost between two players is related to the difference of the group distance.In the circumstance of heterogeneous link cost,the paper first gives an explict description of the structure features of the pairwise stable network under different ranges of link cost.Finally,by establishing the model of games with coalition structure,this paper studies the existence of stable coalition structures with respect to the Shapley value with exogenous directed graph constraints in two-person and three-person games,and proves that there must be stable coalition structures in two-person games given any characteristic function,and finally gives the stable analysis based on different structures of the directed graphs in three-person games.