We represent an exchange economy in terms of statistical ensembles for complex networks by introducing the concept of market configuration. This is defined as a sequence of nonnegative discrete random variables {w i j } describing the flow of a given commodity from agent i to agent j. This sequence can be arranged in a nonnegative matrix W which we can regard as the representation of a weighted and directed network or digraph G. Our main result consists in showing that general equilibrium theory imposes highly restrictive conditions upon market configurations, which are in most cases not fulfilled by real markets. An explicit example with reference to the e-MID interbank credit market is provided.

A Statistical Test of Walrasian Equilibrium by Means of Complex Networks Theory / Bargigli, Leonardo; Viaggiu, Stefano; Lionetto, Andrea. - In: JOURNAL OF STATISTICAL PHYSICS. - ISSN 0022-4715. - ELETTRONICO. - (2016), pp. 0-0. [10.1007/s10955-016-1599-4]

A Statistical Test of Walrasian Equilibrium by Means of Complex Networks Theory

BARGIGLI, LEONARDO;
2016

Abstract

We represent an exchange economy in terms of statistical ensembles for complex networks by introducing the concept of market configuration. This is defined as a sequence of nonnegative discrete random variables {w i j } describing the flow of a given commodity from agent i to agent j. This sequence can be arranged in a nonnegative matrix W which we can regard as the representation of a weighted and directed network or digraph G. Our main result consists in showing that general equilibrium theory imposes highly restrictive conditions upon market configurations, which are in most cases not fulfilled by real markets. An explicit example with reference to the e-MID interbank credit market is provided.
2016
0
0
Bargigli, Leonardo; Viaggiu, Stefano; Lionetto, Andrea
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/1053192
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