In a congressional district somewhere in the U.S., a new representative is being elected. The voters all have one-dimensional political views that can be neatly arrayed on a left-right spectrum. We can define the "location" of a citizen's political views in the following way. The citizen with the most extreme left-wing views is said to be at point 0 and the citizen with the most extreme right-wing views is said to be at point 1. If a citizen has views that are to the right of the views of the fraction x of the state's population, that citizen's views are said to be located at point x. There are two candidates for the congressional seat and they are forced to publicly state their own political position simultaneously on the zero-one left-right scale.
In a congressional district somewhere in the U.S., a new representative is being elected. The voters all have one-dimensional political views that can be neatly arrayed on a left-right spectrum. We can define the "location" of a citizen's political views in the following way. The citizen with the most extreme left-wing views is said to be at point 0 and the citizen with the most extreme right-wing views is said to be at point 1. If a citizen has views that are to the right of the views of the fraction x of the state's population, that citizen's views are said to be located at point x. There are two candidates for the congressional seat and they are forced to publicly state their own political position simultaneously on the zero-one left-right scale.
Chapter1: An Introduction To Taxation And Understanding The Federal Tax Law
Section: Chapter Questions
Problem 10DQ
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Transcribed Image Text:1. In a congressional district somewhere in the U.S., a new representative is being
elected. The voters all have one-dimensional political views that can be neatly
arrayed on a left-right spectrum. We can define the "location" of a citizen's
political views in the following way. The citizen with the most extreme left-wing
views is said to be at point 0 and the citizen with the most extreme right-wing
views is said to be at point 1. If a citizen has views that are to the right of
the views of the fraction x of the state's population, that citizen's views are said
to be located at point x. There are two candidates for the congressional seat and
they are forced to publicly state their own political position simultaneously on
the zero-one left-right scale.
Transcribed Image Text:1.a
Suppose voters always vote for the candidate whose stated position is
nearest to their own views and suppose each candidate cares only about getting as
many votes as possible.
In equilibrium, what will be the two candidates' positions?
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