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Truth, justice, and cake cutting

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  • Chen, Yiling
  • Lai, John K.
  • Parkes, David C.
  • Procaccia, Ariel D.
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    Abstract

    Cake cutting is a common metaphor for the division of a heterogeneous divisible good. There are numerous papers that study the problem of fairly dividing a cake; a small number of them also take into account self-interested agents and consequent strategic issues, but these papers focus on fairness and consider a strikingly weak notion of truthfulness. In this paper we investigate the problem of cutting a cake in a way that is truthful, Pareto-efficient, and fair, where for the first time our notion of dominant strategy truthfulness is the ubiquitous one in social choice and computer science. We design both deterministic and randomized cake cutting mechanisms that are truthful and fair under different assumptions with respect to the valuation functions of the agents.

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    Bibliographic Info

    Article provided by Elsevier in its journal Games and Economic Behavior.

    Volume (Year): 77 (2013)
    Issue (Month): 1 ()
    Pages: 284-297

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    Handle: RePEc:eee:gamebe:v:77:y:2013:i:1:p:284-297

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    Web page: http://www.elsevier.com/locate/inca/622836

    Related research

    Keywords: Fair division; Envy-freeness; Cake cutting; Maximum flows; Strategy-proofness; Mechanism design;

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    References

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    1. S. Illeris & G. Akehurst, 2001. "Introduction," The Service Industries Journal, Taylor & Francis Journals, vol. 21(1), pages 1-4, January.
    2. Dutta, Bhaskar & Ray, Debraj, 1989. "A Concept of Egalitarianism under Participation Constraints," Econometrica, Econometric Society, vol. 57(3), pages 615-35, May.
    3. Bogomolnaia, Anna & Moulin, Herve, 2001. "A New Solution to the Random Assignment Problem," Journal of Economic Theory, Elsevier, vol. 100(2), pages 295-328, October.
    4. William Thomson, 2007. "Children Crying at Birthday Parties. Why?," Economic Theory, Springer, vol. 31(3), pages 501-521, June.
    5. Steven Brams & Michael Jones & Christian Klamler, 2008. "Proportional pie-cutting," International Journal of Game Theory, Springer, vol. 36(3), pages 353-367, March.
    6. Moulin, Herve & Bogomolnaia, Anna, 2001. "Random Matching under Dichotomous Preferences," Working Papers 2001-03, Rice University, Department of Economics.
    7. Katta, Akshay-Kumar & Sethuraman, Jay, 2006. "A solution to the random assignment problem on the full preference domain," Journal of Economic Theory, Elsevier, vol. 131(1), pages 231-250, November.
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    Cited by:
    1. Erel Segal-Halevi & Shmuel Nitzan, 2014. "Cake Cutting – Fair and Square," Working Papers 2014-01, Department of Economics, Bar-Ilan University.

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