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Fair cake-cutting for imitative agents

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  • Eleonora Cresto

    (CONICET (Argentina)-SADAF, Instituto de Investigaciones Filosóficas)

  • Diego Tajer

    (Ludwig-Maximilians-Universitat)

Abstract

We investigate cases of preference change in the context of cake-cutting problems. In some circumstances, believing that some other player can be credited with a particular preference structure triggers a preference shift by imitation. As a result of this, players may experience regret. However, in typical examples the extent of the change (and the ensuing regret) cannot be anticipated, so players cannot adjust their behavior beforehand. Our goal is to describe the phenomenon, provide a formal model for it, and explore circumstances and allocation procedures that may alleviate some of its negative consequences. In the face of utility shifts we propose a new criterion for fairness, which we dub Ratifiability; in a ratifiable allocation rational players are happy to stick to their choices, in spite of the changes in utilities they may experience. We argue that this embodies a sense of fairness that is not captured by other properties of fair allocation.

Suggested Citation

  • Eleonora Cresto & Diego Tajer, 2022. "Fair cake-cutting for imitative agents," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 58(4), pages 801-833, May.
    • Handle: RePEc:spr:sochwe:v:58:y:2022:i:4:d:10.1007_s00355-021-01375-2
    DOI: 10.1007/s00355-021-01375-2
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    References listed on IDEAS

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    1. Steven Brams & D. Kilgour & Christian Klamler, 2012. "The undercut procedure: an algorithm for the envy-free division of indivisible items," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 39(2), pages 615-631, July.
    2. Nicolò, Antonio & Yu, Yan, 2008. "Strategic divide and choose," Games and Economic Behavior, Elsevier, vol. 64(1), pages 268-289, September.
    3. Loomes, Graham & Sugden, Robert, 1982. "Regret Theory: An Alternative Theory of Rational Choice under Uncertainty," Economic Journal, Royal Economic Society, vol. 92(368), pages 805-824, December.
    4. David E. Bell, 1982. "Regret in Decision Making under Uncertainty," Operations Research, INFORMS, vol. 30(5), pages 961-981, October.
    5. Agnes Cseh & Tamás Fleiner, 2018. "The complexity of cake cutting with unequal shares," CERS-IE WORKING PAPERS 1819, Institute of Economics, Centre for Economic and Regional Studies.
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