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Two people are involved in a dispute. Person 1 does not know whether person 2 is strong or weak; she assigns probability to person 2 being strong. Person 2 is fully informed. Each person can either fight or yield. Each person obtains a payoff of 0 if she yields (regardless of the other persons action) and a payoff of 1 if she fights and her opponent yields. If both people fight then their payoffs are (-1, 1) if person 2 is strong and (1,-1) if person 2 is weak. Formulate the situation as a Bayesian game and find its Bayesian equilibria if < 1/2 and if > 1/2 .
Yankee auction typically implies a multiunit discriminatory English auction. not like a Vickrey auction where every winning bidder pays identical worth for every unit, in a very ya
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
GAME PLAYING IN CLASS GAME 1 Adding Numbers—Win at 100 This game is described in Exercise 3.7a. In this version, two players take turns choosing a number between 1 and 10 (inclus
A strategy is strictly dominant if, no matter what the other players do, the strategy earns a player a strictly higher payoff than the other. Hence, a method is strictly dominant i
An auction associates who submits offers (or bids) to sale or buy the goods being auctioned.
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
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Matches or different objects are organized in 2 or a lot of piles. Players alternate removing some or all of the matches from anyone pile. The player to get rid of the last match w
GAME 3 Bargaining Two players A and B are chosen. Player A offers a split of a dollar (whole dimes only). If B agrees, both get paid the agreed coins and the game is over. If
The notion that those that don't contribute to some project might nevertheless get pleasure from it (free riders), evidenced in games like the tragedy of the commons and public pro
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