Suppose rules of the scenario change such that Village1 and Village2 are having a conflict on the ownership of this stream of nearby river. If both villages decide not to battle against each other, V1 will receive a monetary gain of 20S while V2 will receive a monetary gain of 50$. However, if both decide to battle, there is no monetary gain for both. If V1 decides to attach V2 but V2 stays neutral, V1 receives a gain of 80$ while V2 gets 60S. V2 will get 80S if it attacks V1 and in return V1 does not attack. In this scenario, Vl's monetary gain would be just 10s. You are required to construct the pay-off matrix of this scenario.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter8: Game Theory
Section: Chapter Questions
Problem 8.9P
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Suppose rules of the scenario change such that Villagel and Village2 are having a conflict on the
ownership of this stream of nearby river. If both villages decide not to battle against each other, V1
will receive a monetary gain of 20S while V2 will receive a monetary gain of 50S. However, if both
decide to battle, there is no monetary gain for both. If V1 decides to attach V2 but V2 stays neutral,
V1 receives a gain of 80$ while V2 gets 60S. V2 will get 80S if it attacks V1 and in return V1 does not
attack. In this scenario, V1's monetary gain would be just 10$.
You are required to construct the pay-off matrix of this scenario.
Transcribed Image Text:Suppose rules of the scenario change such that Villagel and Village2 are having a conflict on the ownership of this stream of nearby river. If both villages decide not to battle against each other, V1 will receive a monetary gain of 20S while V2 will receive a monetary gain of 50S. However, if both decide to battle, there is no monetary gain for both. If V1 decides to attach V2 but V2 stays neutral, V1 receives a gain of 80$ while V2 gets 60S. V2 will get 80S if it attacks V1 and in return V1 does not attack. In this scenario, V1's monetary gain would be just 10$. You are required to construct the pay-off matrix of this scenario.
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