Multimensional Game And Expanded Analysis Of Hotelling Model

Owing to the development of game from one-dimension to multidimension and be-ing born of evolutionary game theory as well, game theory is more and more per-fect. This thesis has combined with concrete examples of the game and fo-cused on the duopoly enterprise’s Two-dimensional Stackelberg dynamic game model and Two-dimensional Hotelling Stackelberg game model under complete information,expanding the analysis of Hotelling game model to consumer plane dis-tribution in different.The basic contents of the thesis include:The first chapter has carried on the summary of the multimensional game the-ory, described the characteristic, strategy forms and the concept of multimension-al game Nash equilibrium.The second chapter has established a duopoly enterprise’s Two-dimensional S-tackelberg game model about its production strategy and has carried on the analysis of the equilibrium results,according to the dynamic game theory and t-wo kinds of alternative products under complete information.The third chapter has redefined consumer demand for corporate function-s in (0,1) uniform distribution on the interval on the basis of Hotelling game mod-el, expanded Hotelling game model of single product company to Two-dimensional game model about two kinds of substitute products, discussed the equilibrium solutions of the model, and compared the results of two special cases with the tra-ditional model, which showed the rationality of Two-dimensional Hotelling model.The fourth chapter has expanded the hypothesis of consumer in (0,1) linear dis-tribution on the interval to sine form nonlinear, and discussed the equilibrium so-lutions of the model and compared with the results of traditional model on the ba- sis of traditional Hotelling model, whichshowed that the nonlinear model is clos-er to the actual market.The fifth chapter has concluded the contents of the thesis and put for-ward the problems need to be solved.