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A hyper-relation characterization of weak pseudo-rationalizability
Journal of Mathematical Psychology ( IF 1.8 ) Pub Date : 2020-12-01 , DOI: 10.1016/j.jmp.2020.102439
Rush T. Stewart

Abstract I provide a characterization of weakly pseudo-rationalizable choice functions – that is, choice functions rationalizable by a set of acyclic relations – in terms of hyper-relations satisfying certain properties. For those hyper-relations Nehring calls extended preference relations, the central characterizing condition is weaker than (hyper-relation) transitivity but stronger than (hyper-relation) acyclicity. Furthermore, the relevant type of hyper-relation can be represented as the intersection of a certain class of its extensions. These results generalize known, analogous results for path independent choice functions.

中文翻译:

弱伪合理化的超关系表征

摘要 我根据满足某些性质的超关系提供了弱伪可合理化选择函数的表征——即,通过一组非循环关系可合理化的选择函数。对于那些 Nehring 称为扩展偏好关系的超关系,中心特征条件弱于(超关系)传递性,但强于(超关系)非循环性。此外,相关类型的超关系可以表示为其扩展的某个类的交集。这些结果概括了已知的、与路径无关的选择函数的类似结果。
更新日期:2020-12-01
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