, Volume 6, Issue 3, pp 205–241 | Cite as

Economic Equilibrium: Optimality and Price Decentralization

  • C.D. Aliprantis
  • B. Cornet
  • R. Tourky


Mathematical economics has a long history and covers many interdisciplinary areas between mathematics and economics. At its center lies the theory of market equilibrium. The purpose of this expository article is to introduce mathematicians to price decentralization in general equilibrium theory. In particular, it concentrates on the role of positivity in the theory of convex economic analysis and the role of normal cones in the theory of non-convex economies.

equilibrium Pareto optimum supporting price properness marginal cost pricing vector lattice ordered vector space Riesz–Kantorovich formula normal cone separation theorem 


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© Kluwer Academic Publishers 2002

Authors and Affiliations

  • C.D. Aliprantis
    • 1
  • B. Cornet
    • 2
  • R. Tourky
    • 3
  1. 1.Department of EconomicsPurdue UniversityWest LafayetteUSA
  2. 2.CERMSEM, Maison des Sciences EconomiquesUniversité Paris IParis Cedex 13France
  3. 3.Department of EconomicsUniversity of MelbourneMelbourneAustralia

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