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Single-peaked choice - MaRDI portal

Single-peaked choice (Q836878)

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scientific article; zbMATH DE number 5602501
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Single-peaked choice
scientific article; zbMATH DE number 5602501

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    Single-peaked choice (English)
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    9 September 2009
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    The paper deals with the problem of uniqueness of optimal solution in choice-theoretic problems related to social choice, voting, two-person bargaining, and other optimization models. It is shown that the axiom of independence of irrelevant alternatives, and a continuity requirement, well characterize the single-peakedness of the choice function. Moreover, the rationalizability and representability of the choice functions with single peak are analyzed.
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    single-peakedness
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    choice functions
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    rationalizability
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    representability
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