A Hyper-Relation Characterization of Weak Pseudo-Rationalizability

Journal of Mathematical Psychology 99:1-5 (2020)
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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.

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Rush T. Stewart
King's College London

References found in this work

Transformative Experience.Laurie Ann Paul - 2014 - Oxford, GB: Oxford University Press.
Choosing for Changing Selves.Richard Pettigrew - 2019 - Oxford, UK: Oxford University Press.
Hard Choices: Decision Making Under Unresolved Conflict.Isaac Levi - 1986 - New York: Cambridge University Press.

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