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Title:Is there a Walrasian equilibrium in exchange markets with endowment effect PDF Logo
Authors:Schwarz, Christian
Stroinski, Uwe
Issue Date:2009
Series/Report no.:Ruhr economic papers 82
Abstract:We provide an axiomatic framework for exchange markets with a willingness- to-pay/willingness-to-accept discrepancy. First, we obtain a two parameter family of market invariants under price-scaling representing the excess demand. One of the parameters can be identified as endowment. The other is a new feature, called demand-supply gap, that leads to classical general equilibrium if zero. Second, we provide representations of price and demand as unbounded operators on an infinite dimensional Hilbert space. We prove that neither can this space be finite dimensional nor can these operators be bounded. Third, if the demand-supply gap is not zero we obtain that price and demand are not simultaneously sharply measurable and consequently a Walrasian equilibrium does not exist.
Subjects:General equilibrium theory
endowment effect : non-existence of equilibrium
JEL:D50
D51
D01
D03
ISBN:978-3-86788-091-6
Document Type:Working Paper
Appears in Collections:Publikationen von Forscherinnen und Forschern des RWI
Ruhr Economic Papers, RWI

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