# Game theory question

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## Game theory question

 Suppose. that lOO people live in a village where an election is being held. 51 villagers . support the conservative candidate - (A) and 49 support the liberal candidate {B} The- candidate getting the most votes wins. In case of a tie the winner is decided by the toss Of a fair coin; A villager gets a payoff of  +10 units of utility if his favourite candidate gets elected and a payoff of -10 units of utility if the opposition candidate gets elected, But voting is a nuisance as it costs voters one unit of utility. Those who stay at home and do not vote evade this cost, but are rewarded or punished just the same as those who shoulder the cost of voting, . Which of the following statements is correct for this particular game?   a)In the above game nobody choosing to vote is a Nash equilibrium outcome   b)  In the above game there is no Nash equilibrium outcome in which everybody         chooses to vote   c} One pure strategy Nash equilibrium outcome is as follows :            All the supporters of the conservative candidate vote for A and all the               supporters of the liberal candidate vote for B   (d) None of the above
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## Re: Game theory question

 Ans is d. This game has no pure strategy Nash.
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## Re: Game theory question

 Prerna b or d???On Mon, Oct 7, 2013 at 8:02 PM, Prerna Rakheja [via Discussion forum] wrote: Ans is d. This game has no pure strategy Nash. If you reply to this email, your message will be added to the discussion below: http://discussion-forum.2150183.n2.nabble.com/Game-theory-question-tp7584067p7584091.html To start a new topic under General Discussions, email [hidden email] To unsubscribe from Discussion forum, click here. NAML