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Single-crossing condition

 Home Mathematics Fields of mathematics Mathematical analysis Theorems in analysis Fixed-point theorems
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The Single-Crossing Condition (SCC) is a concept used primarily in economics, particularly in the context of auction theory, mechanism design, and social choice theory. It refers to a specific property of preference orderings among different agents or individuals regarding a set of alternatives. Under the Single-Crossing Condition, the preference rankings of the individuals (or types) can only cross at most once when plotted against a single dimension of preference.

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  1. Fixed-point theorems
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