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Choice resolutions

Author

Listed:
  • Domenico Cantone

    (University of Catania)

  • Alfio Giarlotta

    (University of Catania)

  • Stephen Watson

    (York University)

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.

Suggested Citation

  • Domenico Cantone & Alfio Giarlotta & Stephen Watson, 2021. "Choice resolutions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 56(4), pages 713-753, May.
    • Handle: RePEc:spr:sochwe:v:56:y:2021:i:4:d:10.1007_s00355-020-01285-9
    DOI: 10.1007/s00355-020-01285-9
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    References listed on IDEAS

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