Solution Keys to Problem Set 3 Question 1: (1%) engage the channelizeing model introduced in the class and retard the boldness that bringing up yet serves as a native signal, presumptuous that education can improve productivity. In this case, a actors productivity is ?(1 + e). What be the separating and pooling perfect Bayesian Equilibria in this case? How would them differ from those derived under the assumption that education is only a pure signal? This question asks you to reconsider the none value of education, both as a signal of quality and as a way of improving productivity. allow ?H and ?L denote the part of workers, where ?H > ?L > 0, and ? = Pr? = ?H ), and e for the take aim of education. (? Let us first consider the first-best case when asymmetric information is absent. In this case, the employer can short distinguish the high suit workers (?H ) from the low type workers (?L ). Therefore, wages will be equal to workers various(prenominal) productiv ity in a hawkish mazy sense, i.e. wH = ?H + ?H eH and wL = ?L + ?L eL . The adjacent question is what is the best level of education for each type of worker in equilibrium? The workers will only postulate to take trusted level of education which increases their public utility comp some(prenominal). Let the utility be u = w ? c(e, ?). The F.O.C. is we = ce = ?. Therefore, the optimal level of education e* is defined as cei? = ?i , i = H, L. Graphic all toldy, first of all, we take on to hang back straight lines to denote the range of wages, according to wH = ?H + ?H eH and wL = ?L + ?L eL . The wages in any employment contract cannot go beyond these devil straight lines. Second, since there is no asymmetric information, workers will maximize their utility, i.e. their stillness curves should be tangent to these straight lines. This competitive equilibrium is a separating equilibrium under perfect information. Are all competitive equilibria sustainable when there is asy mmetric information? When they are not susta! inable, what changes need to be made to reach...If you want to bump a full essay, order it on our website: OrderEssay.net
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