Figure 1 Illustrates an Election in Which There Are Seven

question 8

Multiple Choice

Figure 1 illustrates an election in which there are seven voters (A, B, C, D, E, F, G) arrayed along a single left-right issue dimension that runs from 0 (most left) to 10 (most right) . Each voter is assumed to have a single-peaked preference ordering over the issue dimension and to vote for the party that is located closest to her ideal point. The voters are participating in a majority rule election in which there are two parties, P1 and P2, competing for office. These parties can be thought of as "office-seeking" parties since they only care about winning the election and getting into office.
Figure 1: Illustrating the Median Voter Theorem

-Let's suppose that P₁ locates at Position 2 on the left-right issue dimension and that P₂ locates at Position 7. Who wins the election in the situation illustrated by Figure 1?

• A) The two parties tie.
• B) P₁ wins.
• C) P₂ wins.

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Definitions:

Success Probability

The likelihood or chance of a desired outcome or event occurring, often used in the context of experiments, trials, or processes.

Random Variable

A numerical variable whose values are determined by the outcomes of random situations.

Poisson Distribution

A statistical distribution showing the probability of a given number of events happening in a fixed interval of time or space if these events occur with a constant mean rate and independently of the time since the last event.

Poisson Distribution

A distribution for predicting the probability of a given number of events occurring over a fixed interval of time or space.