Equilibrium and Matching under Price Controls

P. Jean-Jacques Herings

No 2015.54, Working Papers from Fondazione Eni Enrico Mattei

Abstract: The paper considers a one-to-one matching with contracts model in the presence of price controls. This set-up contains two important streams in the matching literature, those with and those without monetary transfers, as special cases and allows for intermediate cases with some restrictions on the monetary transfers that are feasible. An adjustment process that ends with a stable outcome is presented, thereby proving the existence of stable outcomes. The process contains the deferred acceptance algorithm of Gale and Shapley (1962) and the approximate auction mechanism of Demange, Gale, and Sotomayor (1986) as special cases. The paper presents a notion of competitive equilibrium, called Drèze equilibrium, for this class of models, an extension of the concept as developed by Drèze (1975) for economies with divisible commodities subject to price controls. It is shown that Drèze equilibrium allocations are equivalent to allocations induced by stable outcomes. One implication is the existence of Drèze equilibria. Another implication is the equivalence of a competitive equilibrium concept and the concept of stable outcomes that is valid with and without monetary transfers as well as when monetary transfers are limited.

Keywords: Price Controls; Matching; Stable Outcomes; Competitive Equilibrium; Drèze Equilibrium (search for similar items in EconPapers)
JEL-codes: C71 C78 D45 D51 (search for similar items in EconPapers)
Date: 2015-06
New Economics Papers: this item is included in nep-gth and nep-mic
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (8)

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Related works:
Journal Article: Equilibrium and matching under price controls (2018)
Working Paper: Equilibrium and Matching under Price Controls (2015)
Working Paper: Equilibrium and matching under price controls (2015)
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