The Risk-Dominance Balance In The Finite Strategy Game And Coordination Game

In the formation and development process of the game theory,a special type of game--coordination game produced.Alien to the general type of game,Coordination game does not have incentive payments and its balance depends on how to carry out sufficient and similar faith among players.Only if each player chooses a fully similar strategy,it is meaningful.The main value of game theory researching lies in solving balanced solution problem,in which risk-dominant balance is the main results of the economic decision or act.With regard to Harsanyi and Selten's two-person strategy complete information game (2×2),they give the definition of risk-dominant balanced and their point of view.It is the hot problem that the balanced option mostly discussed.For example,Andelilin(1988) carried out a one-time multi-game test by using robot,and the evidence showed that the only possible balance option for the robot is pay-dominant.Van Damme explored comprehensively the different option rules that were widely discussed since 1980s.(LafFont,2000).Carlsson and van Damme(Carisson and van Damme,1990,1993) put forward a CD method to prove that the players in the game have reason to make their own commitment to the risk dominant risk,its balanced outcome of the game in co-ordination is always the risk-dominant,and as a result for any incomplete information game,the alternative approach of the balanced option involves the dynamic researching of the coordination game(Kandori,Mailath and Rob,1992).Cooper (Cooper,1999) evaluated Harsanyi and Selten for their risk-dominant balance and provide a formal way to deal with a uncertain method,although,the Pareto dominant balance (pay-dominant balance) they proposed should be a natural focus Balance.Cooper introduced positive feedback concept(strategic complementary) and positive overflow concept,and did the pilot study(Cooper,Dejong,Frosvthe and Ross,1992).They conclude that the results of the balanced option depend on the risk-dominant.The complementary for the coordination game has become part of the balanced Option theory.The risk-dominant the source of the coordination problem.The multi- balance in the game means that the players' uncertainty while facing their opponents.So risk-dominant balance appears to be an important outcome of economic decision or action.The content of the paper is as follows:the first part is the prologue,it is a summary.In the second part,the author gives some basic concepts and marks at fist,and than followed by consideration of Harsanyi and Selten for risk-dominant relations and give specific standards and methods.In view of their risk-dominant gave the method to deal with uncertain strategy,we firstly use mixed- strategy,combined with the "boycott" concept(Axelrod,1984),and get the risk-dominant concept formally,and to identify the standards and specific methods of risk-dominant in the form of proposition.Finally,the author illustrates the application of some results above through the model.Carlson and Van Damme has given,using the discussion of parameters.We think,by this method,that the balance result in coordination game is(almost) the risk-dominant balance.In the third part,the author discuss the simple calculation method of identifying the risk-dominant deviation loss product law,and introduce the application of this law with examples.In the fourth part,the author discusses the relationship between risk-dominant balance and pay-dominant balance.It can not be separated from the balance between risk and pay in the uncertain environment.The real players do not always restrain themselves from pay-dominant balance under rational assumption,or from risk-dominant balance.The balance of game is affected by a variety of factors.In the last part,the author introduce generally that a number of areas which need to draw attention in solving the problem of coordination game multi-balance.