Assume both players have equal bargaining weights. Describe the negotiation equilibrium of this game. What happens to the hold-up problem once investment becomes unverifiable to player B? (in other words, does S choose a high level of investment in the negotiation equilibrium of this game?).
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- Choice under uncertainty. Consider a coin-toss game in which the player gets $30 if they win, and $5 if they lose. The probability of winning is 50%. (a) Alan is (just) willing to pay $15 to play this game. What is Alan’s attitude to risk? Show your work.(b) Assume a market with many identical Alans, who are all forced to pay $15 to play this coin-toss game. An insurer offers an insurance policy to protect the Alans from the risk. What would be the fair (zero profit) premium on this policy? i need help with question B please.Q) reduce the payoff matrix by dominance. Find optimal Statragy for each player and the value of game. Given meaning full answer plz .payoff matrix given in imageSuppose that the University of Alabama and Clemson are making spending decisions for theupcoming year. Assume that Alabama is currently spending $15 million on their recruiting andfacilities, and Clemson is spending $10 million. Each team has an additional $5 million to spendor keep as profits. If they both choose to not spend the additional $5 million then Alabama hasa 60% chance of getting the highest quality quarterback recruit to commit to them (getting thecommitment of the player is the goal). However, if they both choose to spend the additional $5million then there is a 57% chance that Alabama gets the high quality quarterback to commit. IfAlabama spends the additional $5 million but Clemson doesn’t then there is a 67% chanceAlabama gets the recruit. However, if Alabama does NOT spend the additional $5million butClemson does then there is a 50% change either team gets the recruit’s commitment. Setup thepayoff matrix and label the players, their strategies, and their payoffs, and…
- 4. The preferences of agents A and B are representable by expected utility functions such that uA(x) = 5x^1/3 +30, and uB(x)= 1/5x - 20. Then, the following allocation of the expected returns of a risky joint investment of A and B as represented by lottery L = ((2/3);1500), (1/3);120)) is Pareto efficient: (a) xA = (500,100), xB = (1000,20) (b) xA = (100,100), xB= (1300,20) (c) xA= (80,80), xB = (1420,40) (d) xA = (750,60), xB= (750,60) (e) NOPACYou are evaluating the possibility that your company bids $150,000 for a particular construction job. (a) If a bid of $150,000 corresponds to a relative bid of 1.20, what is the dollar profit that your company would make from winning the job with this bid? Show your work. (b) Calculate an estimate of the expected profit of the bid of $150,000 for this job. Assume that, historically, 55 percent of the bids of an average bidder for this type of job would exceed the bid ratio of 1.20. Assume also that you are bidding against three other construction companies. Show your work.A4 The Suboptimality of Lower-Than-Cost Reserve Prices: A seller chooses to sell an object by means of a Vickrey auction. If trade occurs, the seller incurs a positive opportunity cost (i.e. c > 0). There are n > 1 bidders participating in the auction. Suppose that the all of the bidders play according to a symmetric and increasing BNE strategy. Show that the seller is always better off by setting the reserve price equal to her cost (i.e. r = c) than by setting the reserve price below her cost (i.e. r < c).
- Consider the following coordination game: Player 2P1 Comedy Show Concert Comedy Show 11,5 0,0 Concert 0,0 2,2 a. Find the Nash equilibrium(s) for this game.b. Now assume Player 1 and Player 2 have distributional preferences. Specifically, both people greatly care about the utility of the other person. In fact, they place equal weight on their outcome and the other person’soutcome, ρ = σ = ½. Find the Nash equilibrium(s) with these utilitarianpreferences.c. Now consider the case where Player1 and Player2 do not like each other. Specifically, any positive outcome for the other person is viewed as anegative outcome for the individual, ρ = σ = -1. Find the Nashequilibrium(s) with these envious preferences.* Please be advised this is for practice preperation only ** i just really need help on this - I dont undertsand X is an arbitrary number Suppose the stage game was played for 3 rounds. Consider the following strategy: Round 1: play C. Round 2: play C if both players played C in round 1. Otherwise, play E. Round 3: play D if both players played C in rounds 1 and 2. Otherwise, play E.Ignore discounting (that is, δ = 1). Suppose that both players pick the strategy above. What condition on x is needed to make this strategy profile a SPNE? Hint: remember to check for possible deviations separately for rounds 1 and 2.(a) 5 ≥ x(b) 7 ≥ x(c) 9 ≥ x(d) 11 ≥ x(e) 13 ≥ xFind all NE of the stage game.(b) Consider a two-period game without discounting in which the stage game is played ineach period. Find all pure strategy SPNE.(c) What’s the min-max payoff of each player?(c1) Consider pure strategies only.(c2) Consider all strategies, including the mixed ones.(d) Now suppose the stage game is repeated infinitely many times. Use the Fudenberg-Maskin Folk theorem to find all possible values of payoff that can be supported as aSPNE.
- 5 Expected Utility formulation was initially proposed as a solution to the St. Petersburg paradox (or, its predecessor). However, does it really solve all such paradoxes? More specific, consider an individual whose “little Bernoulli” utility functions is, a la Cremer, given by u(x) = x1/2. Construct a lottery similar to St. Petersburg lottery in that your lottlery, too, gives a finite prize with probability one, but not only the expected value, but also the expected utility of your lottery (calculated using the u(.) above) is not finite. Discuss how that violates EU as a solution for the St. Petersburg paradox.TRADE. Consider a bilateral trade model with two-sided asymmetric information. The buyer's value is private information to the buyer, vB and the seller's value vs is private information to the seller. (a)Derive the linear Bayes Nash Equilibrium in a double auction. (b)Assume that the seller can credibly disclose their valuae. What is your intuition, would he want to commit to such transparency?V7 Consider a owner-manager problem in which πgross = 2e + ε [manager has control over e, ε are factors outside of manager’s control, ε~N(0,σ2 )] The owner pays the manager a salary of s out of the gross profits. Manager’s cost of effort = e2 /2. Manager has constant risk aversion utility function. σ 2 = 4 A = 1 a) What is the first-best outcome for manager utility, manager effort, and net profits of the owner? b) Now consider that the owner cannot observe manager effort and offers a salary tied to gross profits: s(πgross) = a + b πgross What is the second-best outcome for manager utility, manager effort, and net profits of the owner?