Every year, management and labor renegotiate a new employment contract by sending their proposals to an arbitrator, who chooses the best proposal (effectively giving one side or the other $3 million). Each side can choose to hire, or not hire, an expensive labor lawyer (at a cost of $100,000) who is effective at preparing the proposal in the best light. If neither hires a lawyer or if both hire lawyers, each side can expect to win about half the time. If only one side hires a lawyer, it can expect to win four fifths, or 0.8, of the time. Use the given information to fill in the expected payoff, in dollars, for each cell in the matrix. (Hint: To find the expected payoff, multiply the probability of winning by the dollar amount of the payoff. Be sure to account for lawyer costs, which are incurred with certainty if a lawyer is hired.). Management (M) No Lawy er Lawyer No Lawyer L: $ M: $ L: M: Lab or (L) Lawyer L: $ M: $ L: M: a lawyer, and for Labor to a lawyer. The Nash equilibrium for this game is for Management to

Every year, management and labor renegotiate a new employment contract by sending their proposals to an arbitrator, who chooses the best proposal (effectively giving one side or the other $3 million). Each side can choose to hire, or not hire, an expensive labor lawyer (at a cost of $100,000) who is effective at preparing the proposal in the best light. If neither hires a lawyer or if both hire lawyers, each side can expect to win about half the time. If only one side hires a lawyer, it can expect to win four fifths, or 0.8, of the time. Use the given information to fill in the expected payoff, in dollars, for each cell in the matrix. (Hint: To find the expected payoff, multiply the probability of winning by the dollar amount of the payoff. Be sure to account for lawyer costs, which are incurred with certainty if a lawyer is hired.). Management (M) No Lawy er Lawyer No Lawyer L: $ M: $ L: M: Lab or (L) Lawyer L: $ M: $ L: M: a lawyer, and for Labor to a lawyer. The Nash equilibrium for this game is for Management to

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

Chapter15: Strategic Games

Section: Chapter Questions

Problem 15.5IP

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Every year, management and labor renegotiate a new employment contract by sending their proposals to an arbitrator who chooses the best proposal (effectively giving one side or the other $2 million). Each side can choose to hire, or not hire, an expensive labor lawyer (at a cost of $400,000) who is effective at preparing the proposal in the best light. If neither hires lawyers or if both hire lawyers, each side can expect to win about half the time. If only one side hires a lawyer, it can expect to win three-quarters of the time. a. Diagram this simultaneous-move game. b. What is the Nash equilibrium of the game? c. Would the sides want to ban lawyers?
Every year, management and labor renegotiate a new employment contract by sending their proposals to an arbitrator who chooses the best proposal (effectively giving one side or the other $1 million). Each side can choose to hire, or not hire, an expensive labor lawyer (at a cost of $200,000) who is effective at preparing the proposal in the best light. If neither hires lawyers or if both hire lawyers, each side can expect to win about half the time. If only one side hires a lawyer, it can expect to win three-quarters of the time.1. Diagram this simultaneous-move game.2. What is the Nash equilibrium of the game?3. Would the sides want to ban lawyers?
Every year, management and labor renegotiate a new employment contract by sending their proposals to an arbitrator, who chooses the best proposal (effectively giving one side or the other $2 million). Each side can choose to hire, or not hire, an expensive labor lawyer (at a cost of $300,000) who is effective at preparing the proposal in the best light. If neither hires a lawyer or if both hire lawyers, each side can expect to win about half the time. If only one side hires a lawyer, it can expect to win four fifths, or 0.8, of the time. Use the given information to fill in the expected payoff, in dollars, for each cell in the matrix. (Hint: To find the expected payoff, multiply the probability of winning by the dollar amount of the payoff. Be sure to account for lawyer costs, which are incurred with certainty if a lawyer is hired.) Management (M) No Lawyer Lawyer Labor (L) No Lawyer L: , M: L: , M: Lawyer L: , M: L: , M: The Nash…
Every year, management and labor renegotiate a new employment contract by sending their proposals to an arbitrator, who chooses the best proposal (effectively giving one side or the other $1 million). Each side can choose to hire, or not hire, an expensive labor lawyer (at a cost of $300,000) who is effective at preparing the proposal in the best light. If neither hires a lawyer or if both hire lawyers, each side can expect to win about half the time. If only one side hires a lawyer, it can expect to win three fourth, or 0.75, of the time. Use the given information to fill in the expected payoff, in dollars, for each cell in the matrix. (Hint: To find the expected payoff, multiply the probability of winning by the dollar amount of the payoff. Be sure to account for lawyer costs, which are incurred with certainty if a lawyer is hired.) Management (M) No Lawyer Lawyer Labor (L) No Lawyer L: , M: L: , M: Lawyer L: , M: L: , M: The Nash…
Every year, management and labor renegotiate a new employment contract by sending their proposals to an arbitrator, who chooses the best proposal (effectively giving one side or the other $5 million). Each side can choose to hire, or not hire, an expensive labor lawyer (at a cost of $200,000) who is effective at preparing the proposal in the best light. If neither hires a lawyer or if both hire lawyers, each side can expect to win about half the time. If only one side hires a lawyer, it can expect to win nine tenths, or 0.9, of the time. Use the given information to fill in the expected payoff, in dollars, for each cell in the matrix. (Hint: To find the expected payoff, multiply the probability of winning by the dollar amount of the payoff. Be sure to account for lawyer costs, which are incurred with certainty if a lawyer is hired.) Management (M) No Lawyer Lawyer Labor (L) No Lawyer L: , M: L: , M: LawyerL: , M: L: , M: The Nash equilibrium for this game is for…
Assume the following game situation: If Player A plays UP and Player B plays LEFT then Player A gets $2 and Player B gets $4. If Player A plays UP and Player B plays RIGHT then Player A gets $3 and Player B gets $6. If Player A plays DOWN and Player B plays LEFT then Player A gets $5 and Player B gets $2. If Player A plays DOWN and Player B plays RIGHT then Player A gets $1 and Player B gets $1. What is the mixed strategy expected payout for Player B? 1 40/15 39/15 11/2
Two cigarette manufacturers repeatedly play the following simultaneous-move billboard advertising game. If both advertise, each earns profits of $0 million. If neither advertises, each earns profits of $10 million. If one advertises and the other does not, the firm that advertises earns $20 million and the other firm loses $1 million. If there is a 10 percent chance that the government will ban cigarette sales in any given year, can the firms “collude” by agreeing not to advertise?
two players, a and b are playing an asymmetrical game. there are n points on the game board. each turn player a targets a pair of points and player b says whether those two points are connected or unconnected. a can target each pair only once and the game ends when all pairs have been targeted. player b wins if a point is connected with all other points on the very last turn, while player a wins if any point is connected with all other points on any turn but the very last one or if no point is connected to all other points after the last turn. for what values of n does either player have a winning strategy?
In the Tech industry, Tesla and Toyota are two famous brands and compete. Recently, both firms are competing to raise funds from the likes of Soft banks and Yes Bank. Tesla is in talks to raise $600 million and speed up its acquisition plans while Toyota plans to secure at least $200 million in a new funding round this year. Since both firms are going the same investors, if both approach the Soft banks then Toyota is guaranteed to raise $200 million while Tesla will receive $400 million. If both approach Yes Bank, then Toyota will definitely receive $600 million while Tesla will get $400 million. However, if Toyota approaches Yes Bank while Tesla pursues Soft bank, they are guaranteed investments worth $400 million and $800 million. On the other hand, if Toyota pursues Soft Bank while Tesla is interested in securing Yes bank’s funding, they each secure $600 million. a) Solve the Nash equilibrium for the above scenario as a simultaneous game. b) Now model the above scenario as a…
Consider the game tree below (attached). In this game, each player can mover either Up (U) or Down (D). Player 1 moves first, then Player 2, and Player 3 moves last. Using backwards induction, clearly identify the choice that each player will make at each stage in the tree circle the ultimate outcome (payoff) to the game
Suppose that two companies – AlphaTech and BetaLabs – are competing for market share and must simultaneously decide whether to develop a new product. Both companies are reluctant to make a decision as it is only economical for one company to develop a new product. Each company earns nothing if they decide not to develop a new product. One company can earn $50 million by developing a new product only if their competitor does not. If both companies decide to develop a new product, they each lose $10 million. Complete the payoff matrix to represent this game. Based on your solution in part (a), determine the maximin solution.
Suppose that two corporations, Analytica and Bobmetrics, are negotiating the share of profit from a time sensitive joint project. The total profit generated by the project is £10 million. However, every day that the deal is delayed reduces the value of the total profit by £1 million. The way the negotiation is set up is the following: in the first day, Analytica’s lawyers propose a split of the profits, and Bobmetrics’ lawyers can agree, or they can discuss it some more and make their own offer on the second day. After that the two teams alternate. Analytica gets to make proposals on days 1, 3, 5, 7, and 9, while Bobmetrics makes proposals on days 2, 4, 6, 8 an 10. On day 11, the profit from the joint project becomes 0. The negotiations stop when either company accepts the proposal of the other, or on day 11. Find the subgame perfect Nash equilibria of this dynamic negotiation game. What happens when the loss of value is slower or faster? What conclusions can you draw? Briefly explain…