On relationships between substitutes conditions

Afacan, Mustafa Oğuz and Turhan, Bertan (2014) On relationships between substitutes conditions. [Working Paper / Technical Report] Sabanci University ID:UNSPECIFIED

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In the matching with contract literature, three well-known conditions (from stronger to weaker): substitutes, unilateral substitutes (US), and bilateral substitutes (BS) have proven very critical both in theory and practice. This paper aims to deepen our understanding of them by separately axiomatizing the gap between BS and the other two. We first introduce a new "doctor separability" condition (DS) and show that BS, DS, and irrelevance of rejected contracts (IRC) are equivalent to US and IRC. Due to Hatfield and Kojima (2010) and Aygün and Sönmez (2012), we know that US, "Pareto separability" (PS), and IRC are the same as substitutes and IRC. This along with our result implies that BS, DS, PS, and IRC are equivalent to substitutes and IRC. All of these results are given without IRC whenever hospitals have preferences.

Item Type:Working Paper / Technical Report
Uncontrolled Keywords:Bilateral substitutes, Unilateral substitutes, Substitutes, Doctor separability, Pareto separability, Irrelevance of rejected contracts
Subjects:H Social Sciences > HB Economic Theory > HB135-147 Mathematical economics. Quantitative methods
ID Code:24363
Deposited By:Mustafa Oğuz Afacan
Deposited On:01 Oct 2014 11:50
Last Modified:02 Aug 2019 10:24

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