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I consider the problem of assigning agents to indivisible objects, in which each agent pays a price for his object and all prices sum to a given constant. The objective is to select an assignment-price pair that is envy-free with respect to the agents' true preferences. I propose a simple...
Persistent link: https://www.econbiz.de/10011517013
structure of a matching. This paper argues that, under indifferences, also weak blockings should be considered when these … the set of Pareto-stable matchings for the roommate and the marriage models is provided in terms of individually rational … of stable matchings. Some properties of the Pareto-stable matchings shared by the Marriage and Roommate models are …
Persistent link: https://www.econbiz.de/10003809385
. -- matching ; stable payoff ; competitive equilibrium payoff ; optimal stable payoff ; lattice …
Persistent link: https://www.econbiz.de/10003809394
model the principal-agent economy as a two-sided matching game and characterise the set of stable outcomes of this principal …-agent matching market. A simple mechanism to implement the set of stable outcomes is proposed. Finally, we put forward examples of …
Persistent link: https://www.econbiz.de/10011507906
We study the implementability of stable correspondences in marriage markets with externalities. We prove that, contrary …
Persistent link: https://www.econbiz.de/10014105711
We consider general two-sided matching markets, so-called matching with contracts markets as introduced by Hatfield and … Milgrom (2005), and analyze (Maskin) monotonic and Nash implementable solutions. We show that for matching with contracts … stable correspondence is the minimal solution that is Pareto efficient, individually rational, and implementable. -- Matching …
Persistent link: https://www.econbiz.de/10003731666
We study Nash implementation in many-to-one matching problems also known as college admission problems [Gale and … Shapley, College admission and the stability of marriage, Amer. Math. Monthly 69 (1962) 9-15]. In contrast to the previous … not equivalent to the marriage problem, J. Econ. Theory 36 (1985) 277-288] which rules out complementarities. We show that …
Persistent link: https://www.econbiz.de/10014157176
Students participating in centralized admissions procedures do not typically have access to the information used to determine their matched school, such as other students' preferences or school priorities. This can lead to doubts about whether their matched schools were computed correctly (the...
Persistent link: https://www.econbiz.de/10014477372
This paper studies a general school choice problem with or without outside options. The Gale-Shapley student-proposing deferred acceptance mechanism (DA) has played a central role not only in theory but also in important practical applications. We show that in problems where some students cannot...
Persistent link: https://www.econbiz.de/10009566572
We introduce a new matching model to mimic two-sided exchange programs such as tuition and worker exchange, in which …
Persistent link: https://www.econbiz.de/10011297547