Competitive equilibrium with search frictions : a general equilibrium approach

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dc.contributor.author Jerez, Belén
dc.contributor.editor Universidad Carlos III de Madrid. Departamento de Economía
dc.date.accessioned 2013-02-11T14:38:49Z
dc.date.available 2013-02-11T14:38:49Z
dc.date.issued 2012-12
dc.identifier.issn 2340-5031
dc.identifier.uri http://hdl.handle.net/10016/16243
dc.description.abstract When the trading process is characterized by search frictions, traders may be rationed so markets need not clear. We build a general equilibrium model with transferable utility where the uncertainty arising from rationing is incorporated in the definition of a commodity, in the spirit of the Arrow-Debreu theory. Prices of commodities then depend not only on their physical characteristics, but also on the probability that their trade is rationed. The standard definition of competitive equilibrium is extended by replacing market clearing with a matching condition which describes a trading technology that is not frictionless. This condition relates the rationing probabilities of buyers and sellers to ratio of buyers to sellers in the market via an exogenous matching function with constant returns, as in standard search-theoretic models. When search frictions vanish, our model is equivalent to the competitive assignment model of Gretsky, Ostroy and Zame (1992). We adopt their approach, which uses linear programming techniques and duality theory, to derive the welfare and existence theorems in our search environment. Our competitive equilibrium notion is equivalent to that of directed (or competitive) search. The strength of our formulation and the linear programming approach is that they allow us to generalize the constrained efficiency and existence results in the directed search literature to a much broader class of economies. Our framework also opens the door to the use of linear programming algorithms for computing equilibria
dc.description.sponsorship Financial support from Spanish DGCYT (projects SEJ2004-07861, SEJ2007-65169, ECO2010-20614 and Ramón y Cajal Program), the Bank of Spain’s Programme of Excellence in Research (2011-2013), and Fundación Ramón Areces is gratefully acknowledged
dc.format.mimetype application/pdf
dc.language.iso eng
dc.relation.ispartofseries UC3M Working papers. Economics
dc.relation.ispartofseries 12-35
dc.rights Atribución-NoComercial-SinDerivadas 3.0 España
dc.rights.uri http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject.other Search frictions
dc.subject.other Transferable utility
dc.subject.other Competitive equilibrium
dc.subject.other Matching function
dc.subject.other Linear programming and duality
dc.subject.other Directed search
dc.title Competitive equilibrium with search frictions : a general equilibrium approach
dc.type workingPaper
dc.subject.jel D50
dc.subject.jel D61
dc.subject.jel D83
dc.subject.eciencia Economía
dc.rights.accessRights openAccess
dc.type.version submitedVersion
dc.identifier.uxxi DT/0000000824
dc.identifier.repec we1235
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