If the median voter theorem is viewed as a two-player game, with the two players being the candidates running for office, a Nash equilibrium occurs when the candidates hold the most extreme, opposite political views.

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The median voter theorem suggests that in a two-player game (with the players being the candidates), a Nash equilibrium occurs when both candidates position their policies toward the median voter's preferences, not at the most extreme, opposite ends of the political spectrum. This is because, in a majority rule voting system, the candidate whose position is closest to the median voter is more likely to win.

If the Median Voter Theorem Is Viewed as a Two-Player