Game theory is the study of mathematical models of strategic interaction among rational decision-makers. Prisoners Dilemma Jimmy Confess Not Confess Confess -5.-5 0.-15 Brian Not Confess -15.0 Advertise or not advertise Pepsi Adv. 53 0 obj <>/Filter/FlateDecode/ID[<206515733EA3D6439359D8F4149763D1>]/Index[29 52]/Info 28 0 R/Length 109/Prev 65473/Root 30 0 R/Size 81/Type/XRef/W[1 2 1]>>stream For example, player 1’s modified payoff to action profile (A,A) is 5 +5a and payoff to action profile (A,D) is 0 +6a. Evolutionary game theory, Problem set 1 1. 2. The team to take the last flag is the winner. 29 0 obj <> endobj 1. First, note the following: b is optimal in states ! H���H��L bu C �9L� ������9@� Ύ| The set of avail-able actions is fa;b;cg: The set of states is f! DHΉn)th� 1 Universidad Carlos III de Madrid GAME THEORY Problem set on dynamic games 1. Problem Set 6 Solutions. 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These games have a win-or-lose or tie outcome and determined by a set of positions, including an initial position, and the player whose turn it … Game Theory | Problem Set #1: Right of First Refusal 1) Payoffs written as (Incumbent“I”, Player“P”, Rival“R”) 2) This game can be solved using backward induction. endstream endobj 30 0 obj <> endobj 31 0 obj <> endobj 32 0 obj <>stream Economics 142 Problem Set 2: Behavioral Game Theory Spring 2007 Vincent Crawford This optional problem set covers the material in the second half of the course. Problem Set 1 Ben Polak, Econ 159a/MGT522a. 1 2 0,2 2,3 1 14.12 Game Theory Fall 2002 Problem Set 5 1. A game in the everyday sense—“a competitive activity . Lecture Slides, Notes and Problem Set Answers to the Game Theory course on Coursera by Stanford University and The University of British Columbia - liuhh02/game-theory-coursera A set is a collection of objects. 1 ECO 199 – GAMES OF STRATEGY Spring Term 2004 PROBLEM SET 1 Due in class on Thursday February 26 Question 1 (15 points) In the “21 flags” game from Survivor Thailand that was screened in the first session of the class, the teams alternate, taking 1, 2, or 3 flags at each turn. (a)Write down the strategic form of this game for a = 1. A full solution for each problem includes proving that your answer is correct. Problem 1) Games with In nite Action Sets (15 points) That was the beginning of game theory. 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