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Characterizations of the cumulative offer process

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  • Mustafa Oǧuz Afacan

    () (Sabancı University)

Abstract

In the matching with contracts setting, we provide new axiomatic characterizations of the “cumulative offer process” ( $${ COP}$$ C O P ) in the domain of hospital choice functions that satisfy “unilateral substitutes” and “irrelevance of rejected contracts.” We say that a mechanism is truncation-proof if no doctor can ever benefit from truncating his preferences. Our first result shows that the $${ COP}$$ C O P is the unique stable and truncation-proof mechanism. Next, we say that a mechanism is invariant to lower-tail preference change if no doctor’s assignment changes after he changes his preferences over the contracts that are worse than his assignment. Our second result shows that a mechanism is stable and invariant to lower-tail preference change if and only if it is the $${ COP}$$ C O P . Lastly, by extending Kojima and Manea’s (Econometrica 78:633–653, 2010) result, we show that the $${ COP}$$ C O P is the unique stable and weakly Maskin monotonic mechanism.

Suggested Citation

  • Mustafa Oǧuz Afacan, 2016. "Characterizations of the cumulative offer process," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 47(3), pages 531-542, October.
  • Handle: RePEc:spr:sochwe:v:47:y:2016:i:3:d:10.1007_s00355-016-0981-0
    DOI: 10.1007/s00355-016-0981-0
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    References listed on IDEAS

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    Cited by:

    1. Mustafa Oğuz Afacan & Umut Mert Dur, 2020. "Constrained stability in two-sided matching markets," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 55(3), pages 477-494, October.
    2. Hirata, Daisuke & Kasuya, Yusuke, 2017. "On stable and strategy-proof rules in matching markets with contracts," Journal of Economic Theory, Elsevier, vol. 168(C), pages 27-43.
    3. HIRATA, Daisuke & KASUYA, Yusuke, 2016. "Supplementary Note to “On Stable and Strategy-Proof Rules in Matching Markets with Contracts”," Discussion Papers 2016-14, Graduate School of Economics, Hitotsubashi University.

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