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 [0,20]. The manager of these 20 employees announces that she will contribute dd dollars for every dollar that an employee contributes. The payoff to employee ii who makes contribution of xixi dollars is bi(1+d)xi−xi, where bi>0.bi(1+d)xi−xi, where bi>0. Assume that d=4d=4, bi=0.25bi=0.25 for i=1,2,…,10i=1,2,…,10, and bi=0.5bi=0.5 for i=11,12,…,20i=11,12,…,20 What is the best contribution level of any employee ii for i=1,2,…,10i=1,2,…,10.
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 [0,20]. The manager of these 20 employees announces that she will contribute dd dollars for every dollar that an employee contributes.
The payoff to employee ii who makes contribution of xixi dollars is bi(1+d)xi−xi, where bi>0.bi(1+d)xi−xi, where bi>0.
Assume that d=4d=4, bi=0.25bi=0.25 for i=1,2,…,10i=1,2,…,10, and
bi=0.5bi=0.5 for i=11,12,…,20i=11,12,…,20
What is the best contribution level of any employee ii for i=1,2,…,10i=1,2,…,10.
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 [0,20]. The manager of these 20 employees announces that she will contribute dd dollars for every dollar that an employee contributes.
The payoff to employee ii who makes contribution of xixi dollars is bi(1+d)xi−xi, where bi>0.bi(1+d)xi−xi, where bi>0.
Assume that d=4d=4, bi=0.25bi=0.25 for i=1,2,…,10i=1,2,…,10, and
bi=0.5bi=0.5 for i=11,12,…,20i=11,12,…,20
What is the best contribution level of any employee ii for i=11,12,…,20i=11,12,…,20.
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 [0,20]. The manager of these 20 employees announces that she will contribute dd dollars for every dollar that an employee contributes.
The payoff to employee ii who makes contribution of xixi dollars is bi(1+d)xi−xi, where bi>0.bi(1+d)xi−xi, where bi>0.
Assume that d=4d=4, bi=0.25bi=0.25 for i=1,2,…,10i=1,2,…,10, and
bi=0.5bi=0.5 for i=11,12,…,20i=11,12,…,20
What is the total contribution level in the Nash equilibrium by the 20 employees (that is, excluding the contribution by the manager).
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 [0,20]. The manager of these 20 employees announces that she will contribute dd dollars for every dollar that an employee contributes.
The payoff to employee ii who makes contribution of xixi dollars is bi(1+d)xi−xi, where bi>0.bi(1+d)xi−xi, where bi>0.
Assume that d=4d=4, bi=0.25bi=0.25 for i=1,2,…,10i=1,2,…,10, and
bi=0.5bi=0.5 for i=11,12,…,20i=11,12,…,20
What is the total contribution level of the manager?
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