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Strategic Divide and Choose

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Author Info
Antonio Nicolo' () (University of Padova)
Yan Yu () (Hong Kong University of Science & Technology)

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Abstract

We consider the classic cake-divison 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 multistep 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.

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Paper provided by Dipartimento di Scienze Economiche "Marco Fanno" in its series "Marco Fanno" Working Papers with number 0022.

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Length: 24 pages
Date of creation: Jul 2006
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Handle: RePEc:pad:wpaper:0022

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  1. Thomson William, 1994. "Consistent Solutions to the Problem of Fair Division When Preferences Are Single-Peaked," Journal of Economic Theory, Elsevier, vol. 63(2), pages 219-245, August. [Downloadable!] (restricted)
  2. Barbanel, J. B. & Brams, S. J., 2001. "Cake Division with Minimal Cuts: Envy-Free Procedures for 3 Person, 4 Persons, and Beyond," Working Papers 01-07, C.V. Starr Center for Applied Economics, New York University. [Downloadable!]
  3. Crawford, V. P. & Heller, W. P., 1979. "Fair division with indivisible commodities," Journal of Economic Theory, Elsevier, vol. 21(1), pages 10-27, August. [Downloadable!] (restricted)
  4. Thomson, W., 1991. "Resource-Monotonic Solutions to the Problem of Fair Divosion when Preferences are Single-Peaked ," RCER Working Papers 301, University of Rochester - Center for Economic Research (RCER).
  5. William Thomson, 2004. "Divide-and-Permute," RCER Working Papers 510, University of Rochester - Center for Economic Research (RCER). [Downloadable!]
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  6. Thomson, W., 1994. "Concepts of Implementation," RCER Working Papers 396, University of Rochester - Center for Economic Research (RCER).
  7. Demko, Stephen & Hill, Theodore P., 1988. "Equitable distribution of indivisible objects," Mathematical Social Sciences, Elsevier, vol. 16(2), pages 145-158, October. [Downloadable!] (restricted)
  8. Steven J. Brams & Paul H. Edelman & Peter C. Fishburn, 2003. "Fair Division Of Indivisible Items," Theory and Decision, Springer, vol. 55(2), pages 147-180, 09. [Downloadable!]
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  9. Berliant, Marcus & Thomson, William & Dunz, Karl, 1992. "On the fair division of a heterogeneous commodity," Journal of Mathematical Economics, Elsevier, vol. 21(3), pages 201-216. [Downloadable!] (restricted)
  10. Alkan, Ahmet & Demange, Gabrielle & Gale, David, 1991. "Fair Allocation of Indivisible Goods and Criteria of Justice," Econometrica, Econometric Society, vol. 59(4), pages 1023-39, July. [Downloadable!] (restricted)
  11. Crawford, Vincent P, 1977. "A Game of Fair Division," Review of Economic Studies, Blackwell Publishing, vol. 44(2), pages 235-47, June. [Downloadable!] (restricted)
  12. Maniquet, Francois & Sprumont, Yves, 2000. "On resource monotonicity in the fair division problem," Economics Letters, Elsevier, vol. 68(3), pages 299-302, September. [Downloadable!] (restricted)
  13. Edelman, Paul & Fishburn, Peter, 2001. "Fair division of indivisible items among people with similar preferences," Mathematical Social Sciences, Elsevier, vol. 41(3), pages 327-347, May. [Downloadable!] (restricted)
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