Game theory has revolutionized economics research and teaching during the past two decades. There are few undergraduate or graduate courses in which it does not form a core component. Game theory is the study of multi-decision problems and such problems occur frequently in economics. Industrial organization provides many examples where firms must consider the reactions of others. But there are many other areas in which it is applicable - from individual workers vying for promotion to countries competing or colluding to choose trade policies. Bob Gibbons provides an introduction to the branches of game theory that have been widely applied in economics. He emphasizes the applications as much as the pure theory. This not only helps to teach the theory, but also illustrates the process of model building - the process of translating an informal description of a multi-person decision situation into a formal, game theoretic problem to be analyzed. The approach aims to serve as both an introduction to those who will go on to specialize as pure game-theorists. It also introduces game theory to those who will later construct (or at least use) game-theoretic models in applied fields of economics.
In the normal-form game ($G=\{S_1,\dots,S_n;u_1,\dots,u_n\}$), let ($s_i$) an...
The normal-form representation of an n-player game specifies the players stra...
关于mixed strategy的一个remark：
The comparison scheme (domination criteria) used for strategies seem to bear ...