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Corrigendum to “On randomized matching mechanisms” [Economic Theory 8(1996)377–381]

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  • Bettina Klaus

  • Flip Klijn

Abstract

Ma (1996) studied the random order mechanism, a matching mechanism suggested by Roth and Vande Vate (1990) for marriage markets. By means of an example he showed that the random order mechanism does not always reach all stable matchings. Although Ma's (1996) result is true, we show that the probability distribution he presented - and therefore the proof of his Claim 2 - is not correct. The mistake in the calculations by Ma (1996) is due to the fact that even though the example looks very symmetric, some of the calculations are not as ''symmetric.''
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Suggested Citation

  • Bettina Klaus & Flip Klijn, 2007. "Corrigendum to “On randomized matching mechanisms” [Economic Theory 8(1996)377–381]," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 32(2), pages 411-416, August.
    • Handle: RePEc:spr:joecth:v:32:y:2007:i:2:p:411-416
    DOI: 10.1007/s00199-006-0117-3
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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. Roth,Alvin E. & Sotomayor,Marilda A. Oliveira, 1992. "Two-Sided Matching," Cambridge Books, Cambridge University Press, number 9780521437882, November.
    3. Jinpeng Ma, 1996. "On randomized matching mechanisms (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(2), pages 377-381.
    4. Roth, Alvin E & Vande Vate, John H, 1990. "Random Paths to Stability in Two-Sided Matching," Econometrica, Econometric Society, vol. 58(6), pages 1475-1480, November.
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    Cited by:

    1. Vinay Ramani & K. S. Mallikarjuna Rao, 2018. "Paths to stability and uniqueness in two-sided matching markets," International Journal of Game Theory, Springer;Game Theory Society, vol. 47(4), pages 1137-1150, November.

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    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory

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