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Constrainedly fair job assignments under minimum wages

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Author Info

  • Andersson, T.
  • Svensson, L.-G.
  • Yang, Z.

Abstract

A number of jobs are to be assigned to a greater number of workers. While having to abide by the law of minimum wages, firms must determine who should be assigned which job and at what salary. In such situations fair (envy-free) allocations usually fail to exist. To cope with this situation, this paper proposes a new concept of fairness, called constrained fairness. Among the set of constrainedly fair allocations, the so-called constrainedly fair and minimal allocations are of particular interest. The reason for this is that the salaries are not only compatible with the minimum wages; they are also optimal from the standpoint of cost-minimizing firms and the assignment of jobs is efficient from the viewpoint of workers. A convergent dynamic procedure that identifies constrainedly fair and minimal allocations is proposed. Furthermore, strategic properties of the mechanism are derived, and two notions of efficiency are evaluated.

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Bibliographic Info

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

Volume (Year): 68 (2010)
Issue (Month): 2 (March)
Pages: 428-442

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Handle: RePEc:eee:gamebe:v:68:y:2010:i:2:p:428-442

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

Related research

Keywords: Minimum wages Job assignment Constrained fairness Dynamic mechanism design Incentives Non-manipulability;

References

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  1. Demange, Gabrielle & Gale, David & Sotomayor, Marilda, 1986. "Multi-Item Auctions," Journal of Political Economy, University of Chicago Press, vol. 94(4), pages 863-72, August.
  2. Diamantaras, D. & Thomson, W., 1988. "A Refinement And Extension Of The No-Envy Concept," RCER Working Papers 133, University of Rochester - Center for Economic Research (RCER).
  3. Claus-Jochen Haake & Matthias G. Raith & Francis Su, 2000. "Bidding for Envy-Freeness: A Procedural Approach to n-Player Fair Division Problems," Claremont Colleges Working Papers 2000-47, Claremont Colleges.
  4. Francis Su, . "Rental Harmony: Sperner's Lemma in Fair Division," Claremont Colleges Working Papers 1999-10, Claremont Colleges.
  5. Demange, Gabrielle & Gale, David, 1985. "The Strategy Structure of Two-sided Matching Markets," Econometrica, Econometric Society, vol. 53(4), pages 873-88, July.
  6. Steven J. Brams & D. Marc Kilgour, 2001. "Competitive Fair Division," Journal of Political Economy, University of Chicago Press, vol. 109(2), pages 418-443, April.
  7. Tommy Andersson & Lars-Gunnar Svensson, 2008. "Weakly fair allocations and strategy-proofness," Review of Economic Design, Springer, vol. 11(4), pages 321-338, February.
  8. Flip Klijn, 2000. "An algorithm for envy-free allocations in an economy with indivisible objects and money," Social Choice and Welfare, Springer, vol. 17(2), pages 201-215.
  9. Svensson, Lars-Gunnar, 1983. "Large Indivisibles: An Analysis with Respect to Price Equilibrium and Fairness," Econometrica, Econometric Society, vol. 51(4), pages 939-54, July.
  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.
  11. Tadenuma, Koichi & Thomson, William, 1991. "No-Envy and Consistency in Economies with Indivisible Goods," Econometrica, Econometric Society, vol. 59(6), pages 1755-67, November.
  12. Crawford, Vincent P & Knoer, Elsie Marie, 1981. "Job Matching with Heterogeneous Firms and Workers," Econometrica, Econometric Society, vol. 49(2), pages 437-50, March.
  13. Svensson, Lars-Gunnar, 1991. "Nash Implementation of Competitive Equilibria in a Model with Indivisible Goods," Econometrica, Econometric Society, vol. 59(3), pages 869-77, May.
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Cited by:
  1. ANDERSSON, Tommy & EHLERS, Lars & SVENSSON, Lars-Gunnar, 2010. "Budget-Balance, Fairness and Minimal Manipulability," Cahiers de recherche 18-2010, Centre interuniversitaire de recherche en ├ęconomie quantitative, CIREQ.
  2. 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.
  3. Paula Jaramillo & Çagatay Kayi & Flip Klijn, 2012. "Asymmetrically Fair Rules for an Indivisible Good Problem with a Budget Constraint," Working Papers 610, Barcelona Graduate School of Economics.

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