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Employment By Lotto Revisited

Author

Listed:
  • BETTINA KLAUS

    (Faculty of Business and Economics, University of Lausanne, Internef 538, CH-1015 Lausanne, Switzerland)

  • FLIP KLIJN

    (Harvard Business School, Baker Library|Bloomberg Center 437, Soldiers Field, Boston, MA 02163, USA;
    Institute for Economic Analysis (CSIC), Campus UAB, 08193 Bellaterra (Barcelona), Spain)

Abstract

We studyemployment by lotto(Aldershofet al., 1999), a procedurally fair matching algorithm for the so-called stable marriage problem. We complement Aldershofet al.'s (1999) analysis in two ways. First, we give an alternative and intuitive description of employment by lotto in terms of a probabilistic serial dictatorship on the set of stable matchings. Second, we show that Aldershofet al.'s (1999) conjectures are correct for small matching markets but not necessarily correct for large matching markets.

Suggested Citation

  • Bettina Klaus & Flip Klijn, 2009. "Employment By Lotto Revisited," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 11(02), pages 181-198.
    • Handle: RePEc:wsi:igtrxx:v:11:y:2009:i:02:n:s0219198909002248
    DOI: 10.1142/S0219198909002248
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    References listed on IDEAS

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    1. Bettina Klaus & Flip Klijn, 2006. "Procedurally fair and stable matching," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 27(2), pages 431-447, January.
    2. Ma, Jinpeng, 1996. "On Randomized Matching Mechanisms," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(2), pages 377-381, August.
    3. Roth, Alvin E. & Sotomayor, Marilda, 1992. "Two-sided matching," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 16, pages 485-541, Elsevier.
    4. Alvin E. Roth, 1982. "The Economics of Matching: Stability and Incentives," Mathematics of Operations Research, INFORMS, vol. 7(4), pages 617-628, November.
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    More about this item

    Keywords

    Employment by lotto; probabilistic mechanism; two-sided matching; stability;
    All these keywords.

    JEL classification:

    • B4 - Schools of Economic Thought and Methodology - - Economic Methodology
    • C0 - Mathematical and Quantitative Methods - - General
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • M2 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Economics

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