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Roughly speaking, in decision theory, game theory, and rational choice, menu dependence arises when the evaluation of alternatives for choice or the mode of selection guiding choice varies parametrically[clarification needed] with what collection of alternatives is available for choice (i.e., with what "menu" or decision problem a decision maker is facing). Menu dependence can be accompanied by violations of various so-called consistency (or coherence) constraints, such as Sen's condition α (also known as Chernoff's Axiom, a contraction condition) and Sen's conditions γ and β (expansion conditions). While the phenomenon can arise in a variety of ways, menu dependence is often informally associated with a change in a decision maker's preferences among alternatives with the addition of irrelevant alternatives.
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