Two people will select a policy that affects both of them by applying a "veto" in a sequential and alternate manner, that is: person 1 begins to veto a policy and then person 2 exercises his "veto" with the remaining policies; the process repeats until only one policy remains.   Assume that there are 3 policies: X,Y,Z, and that person 1 prefers X to Y to Z and person 2 prefers Z to Y to X.   a. Represents the game extensively b. Give the number of subgames C. Indicate the total strategies of the players d. find all subgame perfect nash equilibria   e. Find all Nash Equilibriums.

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
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Chapter1: Making Economics Decisions
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Two people will select a policy that affects both of them by applying a "veto" in a sequential and alternate manner, that is: person 1 begins to veto a policy and then person 2 exercises his "veto" with the remaining policies; the process repeats until only one policy remains.

 

Assume that there are 3 policies: X,Y,Z, and that person 1 prefers X to Y to Z and person 2 prefers Z to Y to X.

 

a. Represents the game extensively

b. Give the number of subgames

C. Indicate the total strategies of the players

d. find all subgame perfect nash equilibria

 

e. Find all Nash Equilibriums.

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