Consider a version of the Tragedy of the Commons in which herder 1 and 2 simultaneously choose to graze quantities of sheep $q _ { 1 }$ and $q 2$ ,respectively.If herder 1's payoff function is $q _ { 1 } \left( 100 - q _ { 1 } - q _ { 2 } \right)$ ,his or her best response function is
A) $q _ { 1 } = 50 - q _ { 2 } / 2$ .
B) $q _ { 2 } = 50 - q _ { 1 } / 2$ .
C) $q _ { 1 } = 100 - q _ { 2 } / 2$ .
D) $q _ { 1 } = 100 - q _ { 2 }$ .

Question

Quizplus · Accepted Answer

To find herder 1's best response, take the derivative of the payoff function with respect to $q_1$, set it to zero, and solve for $q_1$. This gives $q_1 = 50 - q_2 / 2$.

Consider a Version of the Tragedy of the Commons in Which