4. Game theory terminology Select the term that best describes each definition listed in the following table. Dominant Strategy Tit-for- tat Strategy Prisoners' Dilemma Nash Payoff Matrix Definition Equilibrium Collusion Game A case in which individually rational behavior leads to a jointly inefficient outcome A set of strategies (one for each player) in which each player's strategy is the best option for that player, given the chosen strategy of the player's opponents The event that occurs when agents in a game form an agreement about which strategies to implement A strategy in which a player cooperates until the other player defects and then defects until the other player cooperates again

4. Game theory terminology Select the term that best describes each definition listed in the following table. Dominant Strategy Tit-for- tat Strategy Prisoners' Dilemma Nash Payoff Matrix Definition Equilibrium Collusion Game A case in which individually rational behavior leads to a jointly inefficient outcome A set of strategies (one for each player) in which each player's strategy is the best option for that player, given the chosen strategy of the player's opponents The event that occurs when agents in a game form an agreement about which strategies to implement A strategy in which a player cooperates until the other player defects and then defects until the other player cooperates again

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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QUESTION 3 Up Down In the game above, what is/are the sub-game perfect Nash equilibrium? Ⓒ (up,up) (up,down) Player 1 (down, up) (down, down) No equilibrium exists Up Down Up Down Player 2 P1 gets $25 P2 gets $25 P1 gets $7 P2 gets $30 P1 gets $13 P2 gets $9 P1 gets $8 P2 gets $6
(The Beckhams' dilemma) Victoria and David are husband and wife. They both prefer ciean to dirty house but neither likes to clean the house. Their payoffs are given in the table below. Victoria Clean Don't clean 0,8 Clean 5,5 David Don't clean 8,0 1,1 a) Let say they play the clean house game only once, what is the Nash equilibrium? b) Let say Victoria and David has to decide whether to clean or not every day for indefinite number of days. How grim-trigger strategy will be our subgame perfect Nash equilibrium? In other words, what is the patience rate that ensure Victoria and David maintain the cleanliness of the house?
Player 1 Up Down [Select] Left 2,4 6,5 Player 2 In the above game, player 1 would play [Select] Right 1,0 4,2 , player 2 would play resulting in a Nash Equilibrium of [Select]
5. The following problem was first considered by John von Neumann and is a fundamentalresult game theory.A and B play the following game:A writes down either number 1 or number 2, and B must guess which one.If the number that A has written down is i and B has guessed correctly, B receives i units from A.If B makes a wrong guess, B pays 4/5 of a unit to A.First we consider the expected gain of player B.Suppose B guesses 1 with probability p and 2 with probability 1 −p.Let X1 denote B’s gain (or loss) in a game where A has written down 1.Let X2 denote B’s gain (or loss) in a game where A has written down 2.(a) Find the pmf of X1 and X2(b) Find B’s expected gain for these two cases, E[X1] and E[X2].(c) What value of p maximizes the minimum possible value of B’s expected gain?Now consider the expected loss of player ASuppose that A writes down 1 with probability q and 2 with probability 1 −q.Let Y1 be A’s loss (or gain) if B chooses number 1.Let Y2 be A’s loss (or gain) if B…
Topic is information economics
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Which of the following best describes a dominant strategy? Question 4Answer a. The strategy that a player chooses depends on what the other player does b. The strategy that a player chooses minimizes the other player's payoff c. The strategy that a player chooses is independent of what the other player does d. The strategy that a player chooses maximizes joint payoffs for both players
1.9. What is a mixed strategy in a normal-form game? What is a mixed-strategy Nash equilibrium in a normal-form game?
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12. What is the subgame-perfect outcome from a finitely repeated game? a. Iterated Elimination Outcome played in each stage b. Backwards Induction Outcome played in each stage Nash Equilibrium played in each stage d. Nash Equilibrium in stage 1 only