What values of x does the strategy of locating in position


Suppose that in an election voters are distributed on different positions from 1 to 10 and that instead of having voters distributed uniformly across 10 regions, assume that position 1 has a different number of voters than other positions. Specifically assume that positions 2 through 10 each has 10 voters and position one has x voters. There are only 2 candidates deciding where to position themselves independently and simultaneously. For what values of x does the strategy of locating in position 2 still dominate the strategy of locating in position 1?

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Macroeconomics: What values of x does the strategy of locating in position
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