Some further properties of the cumulative offer process

Afacan, Mustafa Oğuz (2017) Some further properties of the cumulative offer process. Games and Economic Behavior, 104 . pp. 656-665. ISSN 0899-8256 (Print) 1090-2473 (Online)

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We investigate extension/resource monotonicity and respecting improvements properties of the cumulative offer process (COP). Extension monotonicity says that no doctor is to be better off whenever others start preferring more contracts to being unmatched. Resource monotonicity, on the other hand, requires that no doctor becomes worse off whenever hospitals start hiring more doctors. The COP becomes extension and resource monotonic whenever contracts are unilateral substitutes (US) satisfying an irrelevance of rejected contracts condition (IRC). This result implies that the COP is population monotonic under US and the IRC. We then turn to the respecting improvements property, which states that no doctor should be harmed if some of his contracts become more popular. With an additional law of aggregate demand condition, we show that the COP respects improvements.
Item Type: Article
Uncontrolled Keywords: Extension monotonicity; Resource monotonicity; Population monotonicity; Respecting improvements; The cumulative offer process; Matching with contracts
Subjects: H Social Sciences > HB Economic Theory > HB135-147 Mathematical economics. Quantitative methods
Divisions: Faculty of Arts and Social Sciences > Academic programs > Economics
Faculty of Arts and Social Sciences
Depositing User: Mustafa Oğuz Afacan
Date Deposited: 18 Aug 2017 12:49
Last Modified: 26 Apr 2022 09:48

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