Unbounded exchange economies with satiation: How far can we go?

We unify and generalize the existence results in Werner [Werner, J., 1987. Arbitrage and the existence of competitive equilibrium. Econometrica 55 (6), 1403–1418], Dana et al. [Dana, R.-A., Le Van, C., Magnien, F., 1999. On the different notions of arbitrage and existence of equilibrium. Journal of...

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Veröffentlicht in:Journal of mathematical economics 2009-07, Vol.45 (7), p.465-478
Hauptverfasser: Martins-da-Rocha, V. Filipe, Monteiro, Paulo K.
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creator Martins-da-Rocha, V. Filipe
Monteiro, Paulo K.
description We unify and generalize the existence results in Werner [Werner, J., 1987. Arbitrage and the existence of competitive equilibrium. Econometrica 55 (6), 1403–1418], Dana et al. [Dana, R.-A., Le Van, C., Magnien, F., 1999. On the different notions of arbitrage and existence of equilibrium. Journal of Economic Theory 87 (1), 169–193], Allouch et al. [Allouch, N., Le Van, C., Page Jr., F.H., 2006. Arbitrage and equilibrium in unbounded exchange economies with satiation. Journal of Mathematical Economics 42 (6), 661–674], Allouch and Le Van [Allouch, N., Le Van, C., 2008. Erratum to “Walras and dividends equilibrium with possibly satiated consumers”. Journal of Mathematical Economics 45 (3–4), 320–328]. We also show that, in terms of weakening the set of assumptions, we cannot go too far.
doi_str_mv 10.1016/j.jmateco.2009.03.005
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subjects Arbitrage
Competitive equilibrium
Competitive equilibrium Unbounded action sets Satiation Individually rational utility set No-arbitrage
Equilibrium
Equilibrium theory
Individually rational utility set
Mathematical economics
No-arbitrage
Satiation
Studies
Unbounded action sets
Utility theory
title Unbounded exchange economies with satiation: How far can we go?
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