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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 .
A method by that players assume that the methods of their opponents are randomly chosen from some unknown stationary distribution. In every amount, a player selects her best respon
A type of auction in which the highest bidder is rewarded the object, but all bidders pay the auctioneer their bids. This differs from traditional first price auctions in which onl
About assignment The goal of this assignment is for the student to propose a new game of your own and to be able to present their ideas in clear and convincing manner. This pro
How much time you want to spend on this material willdepend on the focus of your course. For many social sciencecourses, a general exposure to the ideas, based on a quick runthroug
A class of games of imperfect data during which one player (the principal) tries to supply incentives to the opposite (the agent) to encourage the agent to act within the principal
Equilibrium payoffs are (4, 5). Player A’s equilibrium strategy is “S then S if n and then N if n again.” Player B’s equilibrium strategy is “n if S and then n if S again and then
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
GAME PLAYING IN CLASS There are several games that are appropriate for use on the first or second day of class. These games are simple but can be used to convey important poin
GAME Adding Numbers—Lose If Go to 100 or Over (Win at 99) In the second ver- sion, two players again take turns choosing a number be- tween 1 and 10 (inclusive), and a cumulati
Two individuals (i ∈ {1, 2}) work independently on a joint project. They each independently decide how much e ort ei they put. E ort choice has to be any real number between 0 and
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