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

V. Filipe Martins-da-Rocha and Paulo Monteiro

Journal of Mathematical Economics, 2009, vol. 45, issue 7-8, 465-478

Abstract: 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.

Keywords: Competitive; equilibrium; Unbounded; action; sets; Satiation; Individually; rational; utility; set; No-arbitrage (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (11)

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