Q2. The Prisoners' Dilemma: Jill Confess Remain Silent Confess Bob: 8 years Jill: 8 years Bob: Free Jill: 20 years Bob Remain Silent Bob: 20 years Jill: Free Bob: 1 year Jill: 1 year 2A: Find Nash equilibrium? 28. Is the Nash equilibrium best outcome for them? 2C. If your answer of Q2 is 'No', then why they choose an outcome which is not best for them.

Q2. The Prisoners' Dilemma: Jill Confess Remain Silent Confess Bob: 8 years Jill: 8 years Bob: Free Jill: 20 years Bob Remain Silent Bob: 20 years Jill: Free Bob: 1 year Jill: 1 year 2A: Find Nash equilibrium? 28. Is the Nash equilibrium best outcome for them? 2C. If your answer of Q2 is 'No', then why they choose an outcome which is not best for them.

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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5. Consider the game below. a. Is this game a version of the Prisoner's Dilemma? Why or why not? b. Consider the infinitely repeated (supergame) version of this game. i. Under what conditions will the trigger strategy = {start with X, punish any strategy other than X with Z for all periods thereafter} be a Nash equilibrium of the supergame? ii. Under what conditions will the trigger strategy = {start with Y, punish any strategy other than Y with Z for all periods thereafter} be a Nash equilibrium of the supergame? iii. Explain the difference to your answers to (i) and (ii). X Y X 6, 6 -1, 7 -2, 12 Y 7, -1 4, 4 -1, 16 12, -2 16, -1 0,0
1. We can use game theory to model everyday interactions. Consider a game that you're well familiar with: The choice of which side of a hallway to select if someone is coming from the other direction and has not yet made their own selection clear. How many Nash equilibria are in this game? Remember, an outcome is a Nash equilibrium if nobody has a profitable unilateral deviation; if no one has reason to be the only one to change what they're doing. 2. Consider following scenario which we can think of as a game played between two oligopoly firms, Timmer's snow removal & Jack's snow removal services. It costs Timmer $200 per customer per year. It costs Jack's $225 per customer per year. If the firms compete by strategically setting prices, what Nash equilibrium price do we expect? Explain. Remember, an outcome is a Nash equilibrium if nobody has a profitable unilateral deviation; if no one has reason to be the only one to change what they're doing.
5. The Stag Hunt is a famous coordination game where two hunters must work together to hunt a stag but each one has the option to go solo and hunt a hare. The following payoff matrix depicts such a game: a. b. Hunter A Stag Hare Stag 5,5 4,0 Hunter B Hare 0,4 4,4 List any pure strategy Nash equilibria if they exist. Does the game have a mixed strategy Nash equilibrium? If so, solve for it.
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ROWENA 2 Answer 1: 2 Answer 2: 2 Answer 3: 1 Earth Water Wind Answer 4: Fire of the Nash equilibrium, (Rowena's 1 Colin's 3 3 North 1.3 This simultaneous game has two Nash equilibria. The Nash equilibrium, (Rowena's 2 , Colin's 1,2 3,2 2,0 COLIN South 3,1 1,2 2,1 3,0 East 0,2 2,3 1,1 West 1.1 1,1 0,3 2,2 ) has a greater joint payoff than that
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1. Ten commuters must decide simultaneously in the morning to use route A or route B to go from home (same place for all) to work (ditto). If a of them use route A, each of them will travel for 10a + 40 minutes; if b of them use route B, each of them will travel for 10b minutes. Everyone wishes to minimize his/her commuting time. a) Describe the pure Nash equilibrium (or Nash equilibria) of this ten-person game. Compute the corresponding profile of commuting times. Explicitly list all equilibrium conditions that are satisfied.
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How do you solve for the Nash equilibrium
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Economics 4. Suppose you are going to play a game with four other people in our class. The rule of the game is that: each of them will choose a number between and 100 (including 0 and 100). The winner of the game is the one whose chosen number is the closest to [20+* average of everyone's chosen number]. The winner can get $100 form Josie. Everyone choosing 20 is a Nash Equilibrium. (a) True (b) False please explain it in detail.