1. Consider a firm and a union bargaining over how to split the firm’s revenue (which we assume is $100). The firm first makes an offer of an amount it will give the union (which goes to the workers as wages). Assume the firm has to choose the amount in multiples of 50. After the firm has made its offer, the union chooses whether to accept or reject. If it accepts, the revenue is divided accordingly; assume payoffs of each player are equal to the amount of revenue received. If the union rejects, there is a strike and both firm and union get a payoff of 0.
a. (8pts) Write a game tree for this game, with actions labelled and payoffs written in.
The solution of this problem would be........
1. Consider a firm and a union bargaining over how to split the firm’s revenue (which...
Consider a firm and a union bargaining over how to split the firm’s revenue (which we assume is $100). The firm first makes an offer of an amount it will give the union (which goes to the workers as wages). Assume the firm has to choose the amount in multiples of 50. After the firm has made its offer, the union chooses whether to accept or reject. If it accepts, the revenue is divided accordingly; assume payoffs of each player...
Consider the following bargaining game in which two players are trying to share a cake of size 1. Player 1 offers ri e [o, 1jand player 2 either accepts (Y) of rejects (N): If player 2 accepts player 1 receives a payoff of ri and player 2 receives 1-1. If player 2 rejects, then player 2 moves again to offer 72 [0, 1] to which player 1 responds by either accepting (Y) or rejecting (N): If player 1 accepts player...
You play the following bargaining game. Player A moves first and makes Player B an offer for the division of $1000. (For example, Player A could suggest that she take $600 and Player B take $400.) Player B can accept or reject the offer. If he rejects it, the amount of money available drops to $900, and he then makes an offer for the division of this amount. If Player A rejects this offer, the amount of money drops...
Consider a bargaining problem with two agents 1 and 2. There is a prize of $1 to be divided. Each agent has a common discount factor 0 < δ < 1. There are two periods, i.e., t ∈ {0,1}. This is a two period but random symmetric bargaining model. At any date t ∈ {0,1} we toss a fair coin. If it comes out “Head” ( with probability p = 21 ) player 1 is selected. If it comes out...
Problem 1. Ultimatum Game with Inequality Aversion Players 1 and 2 are in an ultimatum game and will divide a particular good. 1-1. . Playe r l offers a division ( r, y) with ® and y nonnegative and If Player 2 accepts this offer then Player 1 will receive the fraction r of the good and Player 2 will receive the fraction y . If Player 2 rejects the offer, then both players receive zero. . The value a...
Problem 1. Ultimatum Game with Inequality Aversion Players 1 and 2 are in an ultimatum game and will divide a particular good . Player 1 offers a division (z,y) with x and y u .aegative and x + y-1. . If Player 2 accepts this offer then Player 1 will receive the fraction z of the good and Player 2 will receive the fraction y. If Player 2 rejects the offer, then bpth players receive zero . The value r...
Consider an ultimatum game, in which the Proposer gets $100 and offers a portion of it to the Responder, who can either accept or reject. If the Responder accepts, both keep the agreed share, while if he rejects, then both receive nothing. Which of the following statements is correct? a)The Responder's payoff is greater when they reject $20 than when they accept $20? b)Economic experiments show the responders are motivated entirely by self-interest c)It is never in the proposer's self-interest...
Amy and Beth have to bargain about how to divide R250. Amy moves first, making an offer of some portion of the R250 to Beth. Beth then chooses to accept or reject the offered amount. If Beth accepts, the money is divided according to the proposal. If Beth rejects the offer, the amount is reduced by R50, so that there is R200 left, and then Beth gets a turn, making an offer to Amy. If Beth’s offer is accepted, the...
1. Consider the coupon game. But suppose that instead of
decisions being made simultaneously, they are made sequentially,
with Firm 1 choosing first, and its choice observed by Firm 2
before Firm 2 makes its choice.
a. Draw a game tree representing this game.
b. Use backward induction to find the solution. (Remember that
your solution should include both firms’ strategies, and that Firm
2’s strategy should be complete!)
2. Two duopolists produce a homogeneous product, and each has a...
1) Decreasing returns to scale may occur as increasing the amount of inputs used A) increases specialization B) may cause coordination difficulties. C) always increases the amount of output produced D) increases efficiency. 2) Which of the following statements is NOT true? A) AFC = AC - AVC C) AVC = wage/MPL B) AC = AFC + AVC D) C=F-VC 3) The more elastic the demand curve, a monopoly A) will have a larger Lemer Index. will face a lower...