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Characterizations of the cumulative offer process

Afacan, Mustafa Oğuz (2015) Characterizations of the cumulative offer process. [Working Paper / Technical Report] Sabanci University ID:UNSPECIFIED

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Abstract

In the matching with contracts setting, we provide two new axiomatic characterizations of the "cumulative offer process" (COP) in the domain of hospital choices satisfying "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 is the unique stable and truncation-proof mechanism. Next, we say that a mechanism is invariant to lower tail preferences change if any doctor's assignment does not depend on his preferences over worse contracts. Our second characterization shows that a mechanism is stable and invariant to lower tail preferences change if and only if it is the COP.

Item Type:Working Paper / Technical Report
Uncontrolled Keywords:the cumulative offer process, truncation, invariance, characterization, unilateral substitutes, irrelevance of rejected contracts
Subjects:H Social Sciences > HB Economic Theory > HB135-147 Mathematical economics. Quantitative methods
ID Code:27114
Deposited By:Mustafa Oğuz Afacan
Deposited On:01 Sep 2015 09:37
Last Modified:01 Sep 2015 09:37

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