Choice resolutions

Domenico Cantone (), Alfio Giarlotta () and Stephen Watson ()
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Domenico Cantone: University of Catania
Alfio Giarlotta: University of Catania
Stephen Watson: York University

Social Choice and Welfare, 2021, vol. 56, issue 4, No 4, 713-753

Abstract: Abstract We describe a process to compose and decompose choice behavior, called resolution. In the forward direction, resolutions amalgamate simple choices to create a complex one. In the backward direction, resolutions detect when and how a primitive choice can be deconstructed into smaller choices. A choice is resolvable if it is the resolution of smaller choices. Rationalizability, rationalizability by a preorder, and path independence are all preserved (backward and forward) by resolutions, whereas rationalizability by a weak order (equivalently, WARP) is not. We characterize resolvable choices, and show that resolvability generalizes WARP.

Date: 2021
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DOI: 10.1007/s00355-020-01285-9

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