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<p>Defining ‘rationality’ as the choice of best elements according to an ordering is unnecessarily restrictive. In the present paper, we accept a broader definition of rationality by first including purposive choices even if they are not restricted to best elements and then second, by allowing rational individuals to have reflexive, connected and acyclic preferences. This paper provides a complete characterization for choice functions, where <i>k</i>th best elements are chosen according to a reflexive, connected and acyclic binary relation for <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(k \ge 2\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>k</mi> <mo>≥</mo> <mn>2</mn> </mrow> </math></EquationSource> </InlineEquation>.</p>

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Acyclic k-rationalization of a choice function: a characterization

  • 期刊论文

  • 发表日期：

    2025年6月1日

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  • Taposik Banerjee

摘要

Defining ‘rationality’ as the choice of best elements according to an ordering is unnecessarily restrictive. In the present paper, we accept a broader definition of rationality by first including purposive choices even if they are not restricted to best elements and then second, by allowing rational individuals to have reflexive, connected and acyclic preferences. This paper provides a complete characterization for choice functions, where kth best elements are chosen according to a reflexive, connected and acyclic binary relation for \(k \ge 2\) k ≥ 2 .