MICROECONOMICS>LL PRINT COMPANION<
MICROECONOMICS>LL PRINT COMPANION<
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ISBN: 9781260517651
Author: McConnell
Publisher: MCG
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Chapter 17.A, Problem 4ARQ
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4 Suppose that a union and a firm operate in an efficient bargaining framework, with equal bargaining powers (so the term for bargaining power in the Nash product equals one). The union is assumed to have a utility function, specified net of its threat point, of the form U = (w − )L. The firm gains satisfaction from profits according to the utility function U(π) = π with the threat point, , equal to zero. (a) Derive the equation for the contract curve. (b) Show that the level of employment is determined independently of the equilibrium value of wages. (c) Show that changes in the degree of bargaining power affect wages but not employment.
Suppose the demand curve for union labor is given by the equation:  L = 450 − 3W.Suppose the current wage is $20. Now suppose the union is successful in raising the wage of its members to $28. At the same time, it is able to shift the demand for labor out to: L = 510 − 3W. a. What was the original employment level? What is the new employment level? b. Has the higher wage negotiated by the union reduced the employment opportunities of its members? If so, by how much? c. Who has benefitted and who has lost as a result of this negotiation.  Be specific and complete.
3) Suppose that the supply curve for the labour to a firm is given by L = 100W and the marginal expense of labour curve is given by MEL = L/50 where W is the (nominal) market wage. Suppose also that the firm’s demand for labour (marginal revenue product) curve is given by L = 1, 000 − 100MRPL. a) If the firm acts as a monopsonist, how many workers will it hire in order to maximise profits? What wage will it pay? How will this wage compare to the MRPL at this employment level? b) Assume now that the firm must hire its workers in a perfectly competitive labour market. How many workers will the firm hire now? What wage will it pay? c) What is the deadweight loss from the labour market for a monopsonist? Graph your results and show the DW L
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