Find the nash equilbria of the strategic game

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Reference no: EM13223381

Consider a variant of Hotelling's model that captures features of a U.S. presidential election. Voters are divided between two states. State 1 has more electoral college votes than does state 2. The winner is the candidate who obtains the most electoral college votes.

Denote by mi the median favorite position among the citizens of state i, for i = 1,2; assume that m2 < m1. Each of two candidates chooses a single position. Each citizen votes (non-strategically) for the candidate whose position is closest to her favorite position.

The candidate who wins a majority of the votes in a state obtains all the electoral college votes of that state; if for some state the candidates obtain the same number of votes, they each obtain half of the electoral college votes of that state. Find the Nash equilbria of the strategic game that models this situation.

Reference no: EM13223381

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