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Cake cutting: Explicit examples for impossibility results

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  • Chèze, Guillaume

Abstract

In this article we suggest a model of computation for the cake cutting problem. In this model the mediator can ask the same queries as in the Robertson–Webb model but he or she can only perform algebraic operations as in the Blum–Shub–Smale model. All existing algorithms described in the Robertson–Webb model can be described in this new model.

Suggested Citation

  • Chèze, Guillaume, 2019. "Cake cutting: Explicit examples for impossibility results," Mathematical Social Sciences, Elsevier, vol. 102(C), pages 68-72.
    • Handle: RePEc:eee:matsoc:v:102:y:2019:i:c:p:68-72
    DOI: 10.1016/j.mathsocsci.2019.09.005
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    References listed on IDEAS

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    1. Chen, Yiling & Lai, John K. & Parkes, David C. & Procaccia, Ariel D., 2013. "Truth, justice, and cake cutting," Games and Economic Behavior, Elsevier, vol. 77(1), pages 284-297.
    2. Segal-Halevi, Erel & Sziklai, Balázs R., 2018. "Resource-monotonicity and population-monotonicity in connected cake-cutting," Mathematical Social Sciences, Elsevier, vol. 95(C), pages 19-30.
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