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Single peaked preferences
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Single peaked preferences : ウィキペディア英語版
Single peaked preferences

Roughly speaking, a group of voters, consumers or agents have single-peaked preferences over a group of outcomes if: 1) they each have an ideal choice in the set; and 2) outcomes that are further from their ideal choice are preferred less.
These preferences are very important for formal models of political science and political economy, because they are necessary to show the median voter theorem.
== Formal definition ==

Take an ordered set of outcomes: \. An agent has a "single-peaked" preference relation over outcomes, \succsim, or "single-peaked preferences", if there exists a unique x^
*\in\ such that
x_m* \Rightarrow x_n \succ x_m
x_m>x_n \geq x^
* \Rightarrow x_n \succ x_m
In words, x^
* is the ideal point. When the agent compares between two outcomes that are both to the right or to the left of the ideal point, she strictly prefers whichever option is closest to x^
*.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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