Consider the following game played between a boss (B) and an employee (E). The boss offers a wage, w 2 0, and after observing the wage offer the employee decides how much effort, e > 0, to exert. The payoff function of the boss is ug (w, e) = 2ve - w and the payoff function of employee is ug (w, e) = w-+ awe. What are the subgame perfect equilibrium choices of wage and effort as a function of a? Oa. w3a and e=a2 Ob. w=a and e=a? C. W=a? and e=a d. w=a 1/2 and e=a

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Consider the following game played between a boss (B) and an employee (E). The boss
offers a wage, w 2 0, and after observing the wage offer the employee decides how much
effort, e 2 0, to exert. The payoff function of the boss is up (w, e) = 2ve – w and the payoff
function of employee is ug (w, e) = w -+ awe. What are the subgame perfect equilibrium
choices of wage and effort as a function of a?
O a. w=a and e=a2
O b. w=a and e=a?
O C. w=a? and e=Da
d. w=a
/2 and e=a
Transcribed Image Text:Consider the following game played between a boss (B) and an employee (E). The boss offers a wage, w 2 0, and after observing the wage offer the employee decides how much effort, e 2 0, to exert. The payoff function of the boss is up (w, e) = 2ve – w and the payoff function of employee is ug (w, e) = w -+ awe. What are the subgame perfect equilibrium choices of wage and effort as a function of a? O a. w=a and e=a2 O b. w=a and e=a? O C. w=a? and e=Da d. w=a /2 and e=a
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