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Cardinal payoffs are numbers representing the outcomes of a game where the numbers represent some continuum of values, such as money, market share or quantity. Cardinal payoffs permit the theorist to vary the intensity or degree of payoffs, unlike ordinal payoffs, in which only the order of values is pivotal. For mixed, payoffs, strategy calculations must be cardinal.
Games with Sequential Moves Most students find the idea of rollback very simple and natural, even without drawing or understanding trees. Of course, they start by being able to
a) Define the term Nash equilibrium b) You are given the following pay-off matrix: Strategies for player 1 Strategies for player 2
For the section on dynamic games of competition, you can begin by asking if anyone in the class has played competi- tive tennis (club or collegiate or better); there is usually one
Treating probability as a logic, Thomas Bayes defined the following: Pr(X|Y)=Pr(Y|X)Pr(X)/Pr(Y) For example, probability that the weather was bad given that our friends playe
A strategy is weakly dominant if, no matter what the other players do, the strategy earns a player a payoff a minimum of as high as the other strategy, and, the strategy earns a st
A sequential game is one among one in all if just one player moves at a time and if every player is aware of each action of the players that moved before him at every purpose. Tech
An auction associates who submits offers (or bids) to sale or buy the goods being auctioned.
Consider two quantity-setting firms that produce a homogeneous good. The inverse demand function for the good is p = A - (q 1 +q 2 ). Both firms have a cost function C = q 2 (a
Discussion in the preceding section suggests that if we want to measure a given hnction belonging to a simultaneous-equations model, the hnction must be fairly stable over the samp
Rollback shows that Boeing chooses peace over war if Airbus enters, so Airbus will enter. Rollback equilibrium entails Airbus playing “Enter” and Boeing playing “Peace if entry”; e
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