The Ouantum Game In S Ealed-bid First Price Auction

Quantum information&Quantum Computation is a new field which produced by quantum mechanics and information science. Quantum game is one of the content of the study. Quantum game plays an essentially central role in the game theory. As a theory front of game theory, quantum game receives the more and more scholars’ attention. Firstly, we introduce the basic concepts ofgame theoryandclassification. On this base,to the basis ofsealed-bid first price auction, we have quantizated this model, we study this case in which the different entanglement could vary arbitrarily, and then study auctiongamewith consistent parameters andgame with inconsistentparameters. We make the further promotion and the theoretical analysis to some questions.In this paper, we mainly study the quantum game model ofsealed-bid first price auction. Firstly, we introduce the background of the developmentofquantumgame theory; describes elementswhichgame theory included, anda brief introduction totheclassificationofthegame, including some of the classicgamemodel. Then, we introduce some basic knowledge of quantum game theory, briefly introduce to theclassificationofquantum game theory, including some classicmodels of the game. We introduce quantum gametheory and some classicmodels of the game, and apply thebasic methodsofquantumgameto analysis these models. The fourth chapter is the main part of this paper, firstly introduce the classical model of sealed-bid first price auction, and focused on the game model of two bidders, we have quantizated this modeland solved the Nash equilibrium solution set, and then we have got the bidding and revenue function of one bidders, and draw revenue function of one single bidder. We find the income of a single bidder in the case of quantum game has been greatly improved than that in the case of the classic game. Later extend tothreebidders, fourbiddersand Nbidders. Fifth chapterextends tothe quantum game in sealed-bid first price auction with inconsistententanglementparameters, extend tothreebidders. Sixth chapter summarized the full text content and introduced further works.