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Strategic divide and choose

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  • Nicolò, Antonio
  • Yu, Yan

Abstract

We consider the classic cake-division problem when the cake is a heterogeneous good represented by an interval in the real line. We provide a mechanism to implement, in an anonymous way, an envy-free and efficient allocation when agents have private information on their preferences. The mechanism is a multi-step sequential game form in which each agent at each step receives a morsel of the cake that is the intersection of what she asks for herself and what the other agent concedes to her.

Suggested Citation

  • Nicolò, Antonio & Yu, Yan, 2008. "Strategic divide and choose," Games and Economic Behavior, Elsevier, vol. 64(1), pages 268-289, September.
    • Handle: RePEc:eee:gamebe:v:64:y:2008:i:1:p:268-289
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    Cited by:

    1. Josué Ortega & Erel Segal-Halevi, 2022. "Obvious manipulations in cake-cutting," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 59(4), pages 969-988, November.
    2. Bhardwaj, Bhavook & Kumar, Rajnish & Ortega, Josué, 2020. "Fairness and efficiency in cake-cutting with single-peaked preferences," Economics Letters, Elsevier, vol. 190(C).
    3. Segal-Halevi, Erel & Nitzan, Shmuel & Hassidim, Avinatan & Aumann, Yonatan, 2017. "Fair and square: Cake-cutting in two dimensions," Journal of Mathematical Economics, Elsevier, vol. 70(C), pages 1-28.
    4. Erel Segal-Halevi & Shmuel Nitzan & Avinatan Hassidim & Yonatan Aumann, 2020. "Envy-Free Division of Land," Mathematics of Operations Research, INFORMS, vol. 45(3), pages 896-922, August.
    5. Kyropoulou, Maria & Ortega, Josué & Segal-Halevi, Erel, 2022. "Fair cake-cutting in practice," Games and Economic Behavior, Elsevier, vol. 133(C), pages 28-49.
    6. 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.
    7. Simina Br^anzei & MohammadTaghi Hajiaghayi & Reed Phillips & Suho Shin & Kun Wang, 2024. "Dueling Over Dessert, Mastering the Art of Repeated Cake Cutting," Papers 2402.08547, arXiv.org, revised Feb 2024.
    8. Nicolò, Antonio & Velez, Rodrigo A., 2017. "Divide and compromise," Mathematical Social Sciences, Elsevier, vol. 90(C), pages 100-110.
    9. Erel Segal-Halevi & Shmuel Nitzan, 2014. "Cake Cutting – Fair and Square," Working Papers 2014-01, Bar-Ilan University, Department of Economics.
    10. Jamie Tucker-Foltz & Richard Zeckhauser, 2022. "Playing Divide-and-Choose Given Uncertain Preferences," Papers 2207.03076, arXiv.org, revised Oct 2024.

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