Select the TWO equations that characterize the wages meant for a HIGH productivity worker (GOOD type) in a potential separating equilibrium? Select 2 correct answer(s) 3ws + WF = 576 √ws + √√wF ws+wF = 288 O√ws + √WF = 24 = = Ows+wF 03₁√ws + √√wF= 64 03√ws + √√wF 512 32 = 48 3ws+wF = 1024
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- Suppose that the expected value of weekly profits for an ice cream shop, before paying the manager, Amy, is where e is Amy's weekly avertime hours. Amy is risk-neutral but incurs a cost for working overtime. Thus, tatal expected surplus is What level of effort maximizes total surplus? The value of overtime that maximizes total surplus is e-hours. (Enter your response rounded to one decimal place.) E(x)=500+10c C(e)=² E(S)-[(x)-C(e).b)Rachel’s objective is to maximize the expected profit, subject to that Emma works for Racheland Emma puts effort. However, effort level is not observable. Hence, Rachel needs to writea contract based on the observables. Let’s say, Rachel pays Emma based on the outcome: xLwhen the profit is $0, xM when the profit is $2000, and xH when the profit is $3,000. ThenEmma has three options:(i) Not to work for Rachel(ii) Work for Rachel without effort(iii) Work for Rachel with effortFind Emma’s expected utility on each optionc)ssuming Rachel wants Emma to put effort, her objective essentially becomes to find thelowest contingent payment scheme that is just enough for Emma to work for Rachel, andgives an incentive for Emma to put effort. Formally, we can write this as:min 0.1xL + 0.3xM + 0.6xH ,subject to0.1√xL + 0.3√xM + 0.6√xH − 5 ≥ 15, (1)and0.1√xL + 0.3√xM + 0.6√xH − 5 ≥ 0.6√xL + 0.3√xM + 0.1√xH . (2)What is Constraint (1) called? What is Constraint (2) called?d) or your information, the…Use graph to illustrate the matching of employers and employees under hedonic wage theory with risk of injury. Assume there are two employees of different types (A and B), and two employers of two different types (X and Y). Worker A maximizes utility along A2 by working for Employer X for WAX and risk level RAX. Worker B maximizes utility along B2 by working for Employer Y for high wage WBY and with high risk level RBY Please draw the indifference curves and the iso-profit curves with zero profit, point out the two tangent points that measure the matching points for both employers and employees. (Hint: use Risk of Injury as the horizontal axis.)
- 3. A risk-neutral principal hires an agent to work on a project at wage w. The agent's utility function is: v(w)-g(e), where v(w)= Jw and g(e)=e/2 The agent can choose one of two possible effort levels, e¡ = 4 or e, = 6 . If the agent chooses effort level e, = 4 the project yields 100 with probability 1/4 and 0 with probability 3/4. If he chooses e, = 6 the project yields 100 with probability ½ and 0 with probability ½. The reservation utility of the agent is 0. (a) Suppose the effort level chosen by the agent is observable by the principal. Find the contract chosen by the principal. Show graphically in terms of contingent utilities v(w,00) and v(w.)When the second order derivative of a function is greater than zero than the agent is risk lover. question; Asses the risk attitude of an agent represented by the expected utility function u(x)= 2x2-5. However my course material writes that this agent is risk neutral because it is affine. My question is that whys is this so despite the fact that the second order derivative is '4' which is >0. Kindly explain this to me with complete steps.QUESTION 12 Suppose that a worker value jobs by both the wage rate and the workplace collegiality. The woker's utility is strictly increasing in the wage rate but strictly decreasing in the chance of being bullied in the workplace. The utility function of the worker is U = wa (1- ), where a = 0.5, w is the wage rate and b is the probability that a worker is bullied in a workplace. Suppose for a typical job A, the chance of getting bullied is 0.01, and the wage rate is 100. Which of the following statements is correct? If job B offer w = 121 and b = 0.04, the worker would prefer job B to job A %3D If job B offer w = 144 and b = 0.09, the worker would prefer job B to job A %3D If job B offer w = 80 and b = 0, the worker would prefer job B to job A If job B has bullying probablity b = 0.04, the worker is indifferent between job A and job B. Then, the compensating wage differential of job B is at least 25. %3D If job B offer w = 80 and b = 0, the worker would be indifferent between job A…
- Suppose the market for discrete job risk consists of multiple heterogeneous workers and multiple heterogeneous firms. Worker's compensated risk premia Z; are distributed according to the uniform distribution Z; ~ U[1,6]. The productivity cost of reducing the job risk for the firm MC; is distributed according to the uniform distribution MC; ~ U[2,6].' 1. What is the equilibrium market compensation and the share of risky jobs in this market? 2. Suppose that the government decides to subsidize the cost of reducing job risk, decreasing the cost by s = 2 for all firms. What is the new equilibrium market compensation for the job risk and the share of risky jobs in the economy? Provide the intuition for this change.Classify cach statement as either true or false. A tournament compensation scheme is subject to ability risk. Josephina receives the largest bonus because she had the highest sales last month. Jana had the second highest sales and receives the second largest bonus. This is an example of a tournament compensation scheme. Professors who grade on a curve are using a tournament compensation scheme. Answer Bank truc false 00Venture capital (VC) firms are pools of privatecapital that typically invest in small, fast-growingcompanies, which usually can’t raise funds through other means. In exchange for this financ-ing, the VCs receive a share of the company’s equity, and the founders of the firm typically stayon and continue to manage the company.a. Describe the nature of the incentive conflictbetween VCs and the managers, identifyingthe principal and the agent. b. VC investments have two typical com-ponents: (1) managers maintain some ownership in the company and often earnadditional equity if the company performs well; (2) VCs demand seats on the compa-ny’s board. Discuss how these two compo-nents help address the incentive conflict.
- 1. Consider the figure below, which depicts the matching of jobs and workers. There are two jobs at firms X and Y and two workers A and B. Wage Rate Way WAX RAX R Ryy Risk of Injury a. Which worker is more risk averse? A or B? Which job does he take? How much does he carn? What is the highest utility he can achieve given the job opportunities? b. Which firm has the higher cost of reducing risk? Whom will it employ? How much will it pay? What is the highest level of profits it can achieve given the labor force? c. Draw the hedonic wage function on the graph and explain what kind of information it contains. d. What are the two main behavioral insights of the hedonic wage theory?Exercise 3.17 (competitive product market interac- tions). There is a mass 1 of identical entrepreneurs with the variable-investment technology described in Section 3.4. The representative entrepreneur has wealth A, is risk neutral, and is protected by limited liability. Denote the average investment by I and the indi- vidual investment i (in equilibrium i = I by symme- try but we need to distinguish the two in a first step in order to compute the competitive equilibrium). A project produces Ri units of goods when successful and 0 when it fails. The probability of success is pH in the case of good behavior (the entrepreneur receives no private benefit) and pL = pH − ∆p in the case of misbehavior (the entrepreneur then receives private benefit Bi). Assume that it is optimal to induce the entrepreneur to behave. The market price of output is P = P(Q), with P' 0, where Q is aggregate production (with P(Q) tend- R ≡ RS…Charles is participating in an experiment. His payoff in the experiment is tied to his effort e doing a mundane task. There is also some risk involved by design-there is a chance p that Charles is going to get a fixed payment L regardless of his effort. Charles' payoff is thus: with probability p w.e with probability 1- p Charles has to pay a cost C, which increases with his effort. First, let us assume that Charles' utility is the expected payoff net of this cost: U(e) = pL + (1 – p)we – c(e) Derive the first order condition with respect to e. b. How doesp affect Charles' effort e? c. How does L affect e?