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Rental Harmony: Sperner's Lemma in Fair Division

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  • Francis Su

    (Harvey Mudd College)

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    File URL: http://www.claremontmckenna.edu/rdschool/papers/1999-10.pdf
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    Paper provided by Claremont Colleges in its series Claremont Colleges Working Papers with number 1999-10.

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    Handle: RePEc:clm:clmeco:1999-10

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    Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
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    1. Hazlett, Thomas W, 1991. "The Demand to Regulate Franchise Monopoly: Evidence from CATV Rate Deregulation in California," Economic Inquiry, Western Economic Association International, vol. 29(2), pages 275-96, April.
    2. Richard A. Posner, 1974. "Theories of Economic Regulation," NBER Working Papers 0041, National Bureau of Economic Research, Inc.
    3. Kaserman, David L & Mayo, John W & Flynn, Joseph E, 1990. "Cross-Subsidization in Telecommunications: Beyond the Universal Service Fairy Tale," Journal of Regulatory Economics, Springer, vol. 2(3), pages 231-49, September.
    4. Beil, Richard O, Jr, et al, 1993. "Competition and the Price of Municipal Cable Television Services: An Empirical Study," Journal of Regulatory Economics, Springer, vol. 5(4), pages 401-15, December.
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    Cited by:
    1. Matt Van Essen, 2013. "An Equilibrium Analysis of Knaster’s Fair Division Procedure," Games, MDPI, Open Access Journal, vol. 4(1), pages 21-37, January.
    2. Elisha Peterson & Francis Su, 2000. "Four-Person Envy-Free Chore Division," Claremont Colleges Working Papers 2000-48, Claremont Colleges.
    3. Gerard van der Laan & Dolf Talman & Zaifu Yang, 2007. "Combinatorial Integer Labeling Theorems on Finite Sets with an Application to Discrete Systems of Nonlinear Equations," Tinbergen Institute Discussion Papers 07-084/1, Tinbergen Institute.
    4. Cloutier, John & Nyman, Kathryn L. & Su, Francis Edward, 2010. "Two-player envy-free multi-cake division," Mathematical Social Sciences, Elsevier, vol. 59(1), pages 26-37, January.
    5. Barbanel, Julius B. & Brams, Steven J., 2004. "Cake division with minimal cuts: envy-free procedures for three persons, four persons, and beyond," Mathematical Social Sciences, Elsevier, vol. 48(3), pages 251-269, November.
    6. Sun, Ning & Yang, Zaifu, 2003. "A general strategy proof fair allocation mechanism," Economics Letters, Elsevier, vol. 81(1), pages 73-79, October.
    7. Velez, Rodrigo A., 2011. "Are incentives against economic justice?," Journal of Economic Theory, Elsevier, vol. 146(1), pages 326-345, January.
    8. R?bert F. Veszteg, 2004. "Fairness under Uncertainty with Indivisibilities," UFAE and IAE Working Papers 613.04, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    9. Meertens, Marc & Potters, Jos & Reijnierse, Hans, 2002. "Envy-free and Pareto efficient allocations in economies with indivisible goods and money," Mathematical Social Sciences, Elsevier, vol. 44(3), pages 223-233, December.
    10. Thomson, William, 2011. "Chapter Twenty-One - Fair Allocation Rules," Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 2, chapter 21, pages 393-506 Elsevier.
    11. Gerard van der Laan & Dolf Talman & Zaifu Yang, 2007. "Combinatorial Integer Labeling Theorems on Finite Sets with an Application to Discrete Systems of Nonlinear Equations," Tinbergen Institute Discussion Papers 07-084/1, Tinbergen Institute.
    12. Simmons, Forest W. & Su, Francis Edward, 2003. "Consensus-halving via theorems of Borsuk-Ulam and Tucker," Mathematical Social Sciences, Elsevier, vol. 45(1), pages 15-25, February.
    13. William Thomson, 2006. "Children crying at birthday parties. Why? Fairness and incentives for cake division problems," RCER Working Papers 526, University of Rochester - Center for Economic Research (RCER).
    14. John Pratt, 2007. "Fair (and not so fair) division," Journal of Risk and Uncertainty, Springer, vol. 35(3), pages 203-236, December.
    15. Andersson, T. & Svensson, L.-G. & Yang, Z., 2010. "Constrainedly fair job assignments under minimum wages," Games and Economic Behavior, Elsevier, vol. 68(2), pages 428-442, March.
    16. Claus-Jochen Haake & Matthias G. Raith & Francis Edward Su, 2002. "Bidding for envy-freeness: A procedural approach to n-player fair-division problems," Social Choice and Welfare, Springer, vol. 19(4), pages 723-749.
    17. Haake,C., 2004. "Dividing by demanding : object division through market procedures," Working Papers 359, Bielefeld University, Center for Mathematical Economics.
    18. Dall'Aglio, Marco & Maccheroni, Fabio, 2009. "Disputed lands," Games and Economic Behavior, Elsevier, vol. 66(1), pages 57-77, May.
    19. Erel Segal-Halevi & Shmuel Nitzan, 2014. "Cake Cutting – Fair and Square," Working Papers 2014-01, Department of Economics, Bar-Ilan University.
    20. Forest W. Simmons & Francis Su, 2001. "Consensus-halving via Theorems of Borsuk-Ulam and Tucker," Claremont Colleges Working Papers 2001-03, Claremont Colleges.

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