Suppose there are two farmers, each of whom has the right to graze cows on the village common. Denote by sA and sB the number of cows farmers A and B graze, respectively. The payoff per cow is given by 120-sA-sB and farmers decide on the number of cows they will graze on the common simultaneously (a) Formulate this situation as a strategic game and find the Nash equilibrium (b) Compare the equilibrium farmer profits to those that would have been realized if each farmer grazed 30 cows on the village common. Explain
Suppose there are two farmers, each of whom has the right to graze cows on the village common. Denote by sA and sB the number of cows farmers A and B graze, respectively. The payoff per cow is given by 120-sA-sB and farmers decide on the number of cows they will graze on the common simultaneously (a) Formulate this situation as a strategic game and find the Nash equilibrium (b) Compare the equilibrium farmer profits to those that would have been realized if each farmer grazed 30 cows on the village common. Explain
Chapter8: Game Theory
Section: Chapter Questions
Problem 8.7P
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Suppose there are two farmers, each of whom has the right to graze cows on the village common. Denote by sA and sB the number of cows farmers A and B graze, respectively. The payoff per cow is given by 120-sA-sB and farmers decide on the number of cows they will graze on the common simultaneously
(a) Formulate this situation as a strategic game and find the Nash equilibrium
(b) Compare the equilibrium farmer profits to those that would have been realized if each farmer grazed 30 cows on the village common. Explain
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