Abstract

Our approach is committed to suitably enriching the duality commodity-price at the level of a single structure instead of the classical usage of dual pairs. To this aim, we study economies having as commodity space the vector lattice of real affine continuous functions on a Bauer simplex playing the role of the price space. Furthermore, the initial endowment is a partition of the unity and the preferences are represented by valuation functions on the extreme points boundary of the price space. The main goal in this paper is the obtainment of a competitive equilibrium existence theorem.

Author information

Contact details are reproduced from the original publication and may be historical.

Antonio Pulgarín

Dept. of Mathematics, University of Extremadura, Cáceres, Spain

aapulgar@unex.es

Keywords

  • Bauer simplex
  • affine economy
  • competitive equilibrium

Mathematics Subject Classification

91B50, 46A40, 46A55

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Suggested citation

A. Pulgarín. “Competitive Equilibrium in Affine Economies.” Journal of Convex Analysis 30 (2023), No. 1, 131–142. https://doi.org/10.68381/jca30008

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Published by Heldermann Verlag, 2023. Rights now held by Banach Press LLC.