21732 articles – 15570 Notices  [english version]

hal-00187223, version 1

Existence of equilibria when firms follow bounded losses pricing rules

Jean-Marc Bonnisseau () 12, Bernard Cornet () 12

Journal of Mathematical Economics 17, 2-3 (1988) 119-147

Résumé : We consider a general equilibrium model of an economy with increasing returns to scale or more general types of non-convexity in production. The firms are instructed to set their prices according to general pricing rules which are supposed to have bounded losses. This includes the case of loss-free pricing rules hence, in particular, profit maximizing and average cost pricing. As for the marginal (cost) pricing rule, the bounded losses assumption for a firm is shown to be equivalent to the ‘star-shapedness' of its production set. This paper reports a general existence result in this model.

  • 1 :  CEntre de Recherche en Mathématiques, Statistique et Économie Mathématique (CERMSEM)
  • CNRS : UMR8095 – Université Paris I - Panthéon-Sorbonne
  • 2 :  Center of Operation Research and Econometrics [Louvain] (CORE)
  • Université Catholique de Louvain (UCL) - Belgique
  • Domaine : Mathématiques/Optimisation et contrôle
    Sciences de l'Homme et Société/Economies et finances
  • Mots-clés : General equilibrium theory – increasing returns – pricing rules – existence
 
  • hal-00187223, version 1
  • oai:hal.archives-ouvertes.fr:hal-00187223
  • Contributeur : 
  • Soumis le : Mercredi 14 Novembre 2007, 06:33:01
  • Dernière modification le : Mercredi 14 Novembre 2007, 06:33:01