IDEAS home Printed from https://ideas.repec.org/a/eee/mateco/v40y2004i5p493-513.html
   My bibliography  Save this article

On the objective of firms under uncertainty with stock markets

Author

Listed:
  • Bonnisseau, Jean-Marc
  • Lachiri, Oussama

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
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Bonnisseau, Jean-Marc & Lachiri, Oussama, 2004. "On the objective of firms under uncertainty with stock markets," Journal of Mathematical Economics, Elsevier, vol. 40(5), pages 493-513, August.
  • Handle: RePEc:eee:mateco:v:40:y:2004:i:5:p:493-513
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304-4068(03)00121-6
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    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. 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.
    3. 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.
    4. 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.
    5. 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.
    6. Guesnerie, Roger, 1975. "Pareto Optimality in Non-Convex Economies," Econometrica, Econometric Society, vol. 43(1), pages 1-29, January.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Bejan, Camelia, 2008. "Production and financial decisions under uncertainty," MPRA Paper 11033, University Library of Munich, Germany.
    2. Jean-Marc Bonnisseau & Oussama Lachiri, 2006. "About the second theorem of Welfare economics with stock markets," Post-Print halshs-00265691, HAL.
    3. Jacques H., DREZE & Oussama, LACHIRI & Enrico, MINELLI, 2007. "Shareholder-efficient production plans in multi-period economy," Discussion Papers (ECON - Département des Sciences Economiques) 2007042, Université catholique de Louvain, Département des Sciences Economiques.
    4. 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.
    5. Camelia Bejan, 2020. "Investment and financing in incomplete markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 69(1), pages 149-182, February.
    6. Britz, V. & Herings, P.J.J. & Predtetchinski, A., 2010. "Theory of the firm: bargaining and competitive equilibrium," Research Memorandum 057, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    7. Egbert Dierker, 2015. "A multiperiod Drèze rule," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(2), pages 129-151, October.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    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. Egbert Dierker, 2015. "A multiperiod Drèze rule," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(2), pages 129-151, October.
    3. Gaël Giraud & Cécile Renouard, 2011. "In search of an alternative to shareholder value maximization," Post-Print hal-00609153, HAL.
    4. Sabarwal Tarun, 2007. "Value Maximization as an Ex-Post Consistent Firm Objective When Markets are Incomplete," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 7(1), pages 1-21, January.
    5. Jean-Marc Bonnisseau & Oussama Lachiri, 2004. "A note on the Drèze’s criterion for large capitalist firms," Cahiers de la Maison des Sciences Economiques b04120, Université Panthéon-Sorbonne (Paris 1).
    6. Tarun Sabarwal, 2004. "A Consistent Firm Objective When Markets are Incomplete: Profit Maximization," Econometric Society 2004 North American Summer Meetings 141, Econometric Society.
    7. repec:hal:spmain:info:hdl:2441/10284 is not listed on IDEAS
    8. Mario Tirelli, 2003. "Income taxation when markets are incomplete," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 26(2), pages 97-128, November.
    9. Hervé Crès & Mich Tvede, 2001. "Proxy fights in incomplete markets: when majority voting and sidepayments are equivalent," Sciences Po publications 726/2001, Sciences Po.
    10. Tirelli, Mario, 2006. "The evaluation of public investments under uncertainty," Research in Economics, Elsevier, vol. 60(4), pages 188-198, December.
    11. Tirelli, Mario, 2008. "Constrained inefficiency in GEI: A geometric argument," Journal of Mathematical Economics, Elsevier, vol. 44(11), pages 1197-1214, December.
    12. Hervé Crès & Mich Tvede, 2013. "Production externalities: internalization by voting," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 53(2), pages 403-424, June.
    13. Momi, Takeshi, 2001. "Non-existence of equilibrium in an incomplete stock market economy," Journal of Mathematical Economics, Elsevier, vol. 35(1), pages 41-70, February.
    14. Jacques Drèze & Enrico Minelli & Mario Tirelli, 2008. "Production and financial policies under asymmetric information," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 35(2), pages 217-231, May.
    15. repec:spo:wpecon:info:hdl:2441/10284 is not listed on IDEAS
    16. 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.
    17. repec:hal:spmain:info:hdl:2441/10282 is not listed on IDEAS
    18. repec:hal:wpspec:info:hdl:2441/10284 is not listed on IDEAS
    19. CRES, Hervé & TVEDE, Mich, 2004. "The Dreze and Grossman-Hart criteria for production in incomplete markets: Voting foundations and compared political stability," HEC Research Papers Series 794, HEC Paris.
    20. Bejan, Camelia, 2008. "Production and financial decisions under uncertainty," MPRA Paper 11033, University Library of Munich, Germany.
    21. repec:hal:wpspec:info:hdl:2441/eu4vqp9ompqllr09ieq060086 is not listed on IDEAS
    22. Bisin, Alberto; & Gottardi, Piero; & Ruta, Guido, 2014. "Equilibrium corporate finance and intermediation," Economics Working Papers ECO2014/09, European University Institute.
    23. Camelia Bejan, 2020. "Investment and financing in incomplete markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 69(1), pages 149-182, February.
    24. Hervé Crès, 2000. "Majority Stable Production Equilibria: A Multivariate Mean Shareholders Theorem," Working Papers hal-00598173, HAL.
    25. repec:spo:wpecon:info:hdl:2441/eu4vqp9ompqllr09ieq060086 is not listed on IDEAS
    26. VENTURA, Luigi, 1998. "Investment decisions and normalization with incomplete markets: a remark," LIDAM Discussion Papers CORE 1998028, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).

    More about this item

    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

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:mateco:v:40:y:2004:i:5:p:493-513. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/jmateco .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.