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On the objective of firms under uncertainty with stock markets

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Abstract

In a multi-period, multi-commodity economy with stock markets, we try to extend the work of Drèze (1974) to define the behaviour of the firms. We exhibit first order necessary conditions for a constrained Pareto optimal allocation. The financial constraints lead to non-collinear supporting spot prices for the consumers at each node. Nevertheless, the firms are satisfying a first order necessary condition for profit maximization with respect to a price computed as the Drèze's prices. These prices are also consistent in the sense that the present value of the firms computed with the personal prices of the stockholders and with the Drèze's prices coincide when short sales are allowed. We also show that these conditions are simpler if we consider an allocation at which each consumer maximizes his preferences, when they are smooth. This allows us to give a formal definition for the objective of the firms, which extend the Drèze's criterion. We also discuss different definitions of constrained feasibility and we provide the related necessary conditions, which do not differ for the production sector.

Suggested Citation

  • Jean-Marc Bonnisseau & Oussama Lachiri, 2004. "On the objective of firms under uncertainty with stock markets," Cahiers de la Maison des Sciences Economiques b04122, Université Panthéon-Sorbonne (Paris 1).
  • Handle: RePEc:mse:wpsorb:b04122
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    1. Grossman, Sanford J & Hart, Oliver D, 1979. "A Theory of Competitive Equilibrium in Stock Market Economies," Econometrica, Econometric Society, vol. 47(2), pages 293-329, March.
    2. Camelia Bejan, 2008. "The objective of a privately owned firm under imperfect competition," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 37(1), pages 99-118, October.
    3. Egbert Dierker & Hildegard Dierker & Birgit Grodal, 2000. "Objectives of an Imperfectly Competitive Firm: A Surplus Approach," CIE Discussion Papers 2000-06, University of Copenhagen. Department of Economics. Centre for Industrial Economics.
    4. Oussama Lachiri & Jean-Marc Bonnisseau, 2004. "Dreze's Criterion In A Multi-Period Economy With Stock Markets," Royal Economic Society Annual Conference 2004 88, Royal Economic Society.
    5. Guesnerie, Roger, 1975. "Pareto Optimality in Non-Convex Economies," Econometrica, Econometric Society, vol. 43(1), pages 1-29, January.
    6. Geanakoplos, J. & Magill, M. & Quinzii, M. & Dreze, J., 1990. "Generic inefficiency of stock market equilibrium when markets are incomplete," Journal of Mathematical Economics, Elsevier, vol. 19(1-2), pages 113-151.
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    Citations

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    Cited by:

    1. Jacques H. Drèze & Oussama Lachiri & Enrico Minelli, 2007. "Shareholder-efficient production plans in a multi-period economy," Documents de travail du Centre d'Economie de la Sorbonne b07065, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    2. Bejan, Camelia, 2008. "Production and financial decisions under uncertainty," MPRA Paper 11033, University Library of Munich, Germany.
    3. Britz Volker & Herings Jean-Jacques & Predtetchinski Arkadi, 2010. "Theory of the Firm: Bargaining and Competitive Equilibrium," Research Memorandum 057, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    4. repec:spr:etbull:v:3:y:2015:i:2:d:10.1007_s40505-015-0073-9 is not listed on IDEAS
    5. Volker Britz & P. Herings & Arkadi Predtetchinski, 2013. "A bargaining theory of the firm," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(1), pages 45-75, September.
    6. Jean-Marc Bonnisseau & Oussama Lachiri, 2006. "About the second theorem of welfare economics with stock markets," Cahiers de la Maison des Sciences Economiques b06053, Université Panthéon-Sorbonne (Paris 1).
    7. repec:hal:journl:halshs-00118822 is not listed on IDEAS

    More about this item

    Keywords

    Constrained Pareto optimality; multi-period; firm's behaviour; incomplete markets; Drèze's criterion; stock market.;

    JEL classification:

    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General
    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
    • D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets
    • D60 - Microeconomics - - Welfare Economics - - - General

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