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An algorithm for envy-free allocations in an economy with indivisible objects and money

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  • Flip Klijn

    ()
    (Department of Econometrics and CentER, Tilburg University, P.O. Box 90153, 5000LE Tilburg, The Netherlands)

Abstract

This paper studies envy-free allocations for economies with indivisible objects, quasi-linear utility functions, and an amount of money. We give a polynomially bounded algorithm for finding envy-free allocations. Connectedness of envy-graphs, which are used in the algorithm, characterizes the extreme points of the polytopes of sidepayments corresponding with envy-free allocations.

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Bibliographic Info

Article provided by Springer in its journal Social Choice and Welfare.

Volume (Year): 17 (2000)
Issue (Month): 2 ()
Pages: 201-215

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Handle: RePEc:spr:sochwe:v:17:y:2000:i:2:p:201-215

Note: Received: 22 October 1997/Accepted: 19 January 1999
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Cited by:
  1. Tommy ANDERSSON & Lars EHLERS, 2013. "An Algorithm for Identifying Agent-k-Linked Allocations in Economies with Indivisibilities," Cahiers de recherche 17-2013, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
  2. Klijn, F. & Tijs, S.H. & Hamers, H.J.M., 1999. "Balancedness of Permutation Games and Envy-Free Allocations in Indivisible Good Economies," Discussion Paper 1999-21, Tilburg University, Center for Economic Research.
  3. ANDERSSON, Tommy & EHLERS, Lars & SVENSSON, Lars-Gunnar, 2010. "Budget-Balance, Fairness and Minimal Manipulability," Cahiers de recherche 18-2010, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
  4. Onur Kesten & Ayşe Yazıcı, 2012. "The Pareto-dominant strategy-proof and fair rule for problems with indivisible goods," Economic Theory, Springer, vol. 50(2), pages 463-488, June.
  5. 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.
  6. 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.
  7. Andersson, Tommy & Ehlers, Lars & Svensson, Lars-Gunnar, 2012. "Least Manipulable Envy-free Rules in Economies with Indivisibilities," Working Papers 2012:8, Lund University, Department of Economics, revised 30 Sep 2013.
  8. Tommy Andersson & Lars Ehlers & Lars-Gunnar Svensson, 2012. "(Minimally) ?-Incentive Compatible Competitive Equilibria in Economies with Indivisibilities," Cahiers de recherche 04-2012, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
  9. Tommy Andersson & Christer Andersson, 2009. "Solving House Allocation Problems with Risk-Averse Agents," Computational Economics, Society for Computational Economics, vol. 33(4), pages 389-401, May.
  10. Claus-Jochen Haake & Matthias G. Raith & Francis Edward Su, 1999. "Bidding for envy-freeness: A procedural approach to n-player fair-division problems," Working Papers 311, Bielefeld University, Center for Mathematical Economics.
  11. 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.

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