Question: Odd and Even play Low Person Wins , whose rules are as follows: 1.Odd announces an odd number between 1 and 5 (inclusive). 2.Independently, Even

Odd and Even play Low Person Wins, whose rules are as follows:

1.Odd announces an odd number between 1 and 5 (inclusive).

2.Independently, Even announces an even number between 2 and 6 (inclusive).

3.Whoever announces the lower number gets twice this number as its payoff.

4.Whoever announces the higher number gets the lower number as its payoff.

What is the Nash equilibrium of this game, based on the successive elimination of dominated strategies?Is there another Nash equilibrium?Comment on whether the Nash equilibrium (equilibria) will make the players happy, assuming they prefer higher payoffs.Is this game reminiscent of any well-known games in the literature?Which ones and why?

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