At a company, 20 employees are making contributions for a retirement gift. Each of the 20 employees dollars to contribute from the interval [0,10]. The manager of these 20 employees announces that she for every dollar that an employee contributes. The payoff to employee i who makes contribution of a; dollars is b;(1+ d)x¡ – axj, where b; > 0. Assume that d = 2, b; = = 0.5 for i = 11, 12,..., 20 b; 0.25 for i = 1, 2,..., 10, and %3D

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At a company, 20 employees are making contributions for a retirement gift. Each of the 20 employees is choosing how many
dollars to contribute from the interval [0,10]. The manager of these 20 employees announces that she will contribute d dollars
for every dollar that an employee contributes.
The payoff to employee i who makes contribution of x; dollars is
b;(1+ d)x; – xi, where b; > 0.
Assume that d = 2, b; = 0.25 for i = 1, 2, ..., 10, and
b; = 0.5 for i = 11, 12, ..., 20
What is the best contribution level of any employee i for i = 1, 2, . .., 10.
Numerical answer
Transcribed Image Text:At a company, 20 employees are making contributions for a retirement gift. Each of the 20 employees is choosing how many dollars to contribute from the interval [0,10]. The manager of these 20 employees announces that she will contribute d dollars for every dollar that an employee contributes. The payoff to employee i who makes contribution of x; dollars is b;(1+ d)x; – xi, where b; > 0. Assume that d = 2, b; = 0.25 for i = 1, 2, ..., 10, and b; = 0.5 for i = 11, 12, ..., 20 What is the best contribution level of any employee i for i = 1, 2, . .., 10. Numerical answer
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