Game theory question

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Game theory question

vandita24x7

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

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

vandita24x7
Prerna b or d???


On Mon, Oct 7, 2013 at 8:02 PM, Prerna Rakheja [via Discussion forum] <[hidden email]> wrote:
Ans is d. This game has no pure strategy Nash.


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NAML

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Re: Game theory question

Prerna Rakheja
Hi Vandita,

Thanks for correcting. You are right option b will capture this.
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Re: Game theory question

john2500
In reply to this post by vandita24x7
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