Consider the Stackelberg game depicted below in which you are the row player. R U 4,0 1,2 3,2 0,1 0,0 2,0 You may choose whether you want to be the leader (and commit to a possibly mixed strategy) or the follower in a game against the course staff (column player). You may trust that we maximize our expected payoff. The points awarded to you will equal one half of the expected payoff you obtain. If you want to be the leader, please submit your commitment strategy. For example, if you want to commit to [0.5: U, 0.2: M, 0.3: D], then submit: 0.5 0.2 0.3 If you want to be the follower instead, just submit:

Consider the Stackelberg game depicted below in which you are the row player. R U 4,0 1,2 3,2 0,1 0,0 2,0 You may choose whether you want to be the leader (and commit to a possibly mixed strategy) or the follower in a game against the course staff (column player). You may trust that we maximize our expected payoff. The points awarded to you will equal one half of the expected payoff you obtain. If you want to be the leader, please submit your commitment strategy. For example, if you want to commit to [0.5: U, 0.2: M, 0.3: D], then submit: 0.5 0.2 0.3 If you want to be the follower instead, just submit:

Managerial Economics: A Problem Solving Approach

5th Edition

ISBN:9781337106665

Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor

Publisher:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor

Chapter16: Bargaining

Section: Chapter Questions

Problem 3MC

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E3 Bayesian Game]. Consider a Bayesian game described by a following payoff matrix. Please solve (show your solution). 1. Enumerate all pure strategies for each player. 2. Suppose that player 1 observes his type ?1 = 3. How does player 1 think of the probability of ?2? 3. Find a (pure strategy) Bayesian Nash equilibrium.
Write out the extensive form of a game between a farmer (playing in the first round) and nature (playing a mixed strategy in the second round). Assume that the farmer can either pay a cash rent of $1500 for land (English system) or 1/2 of crop production to the landlord (sharecropping). Assume the farmer is planting corn and will produce 2 tons of corn. Assume that nature has a 50% chance of playing a strategy in which the price of corn is $3500/ton and a 50% chance of playing a strategy in which the price of corn is $500/ton. The farmer keeps any money left after paying cash rent and sells any corn left after paying the landlord in sharecropping. What is the most that a risk neutral farmer would be willing to pay for an accurate prediction of the price of corn in problem 1 before choosing whether to pay cash rent or sharecrop?
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Question > Consider the following matrix game where Player 1 moves first then Player 2 observes player 1's move and responds. Draw the game tree for the sequential move game and then determine all the Nash equilibria. Player 1 Strategy A Strategy B Strategy C Strategy D -3, -2 10, 12 9, 20 Player 2 Please show each step on how to get the answer. Thank you! Strategy E 13,7 17, 17 12, 21 Strategy F 20,8 22, 16 19, 19
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38. Consider the following game. There are ten churches in town: nine are Catholic and one is Eastern Orthodox. All churches conduct their divine services at 10am on Sunday morning. You and your friend, without communication, agree to meet at a church service. If you fail to meet at the same church, then you are sad and become a Doomer. What is this game's focal point? Remember that you cannot communicate about this. (A) You meet at any of the Catholic churches. (B) You meet at any of the churches – denomination does not matter. We're all the same bro. (C) You meet at the Orthodox church. (D) There is no focal point. 39. Consider a fractional-reserve banking system in which an initial deposit of $1,000 can generate up to $4,000 in money. What is the reserve ratio? (A) 4 percent. (B) 5 percent. (C) 25 percent. (D) 75 percent.
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