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Shareholder-efficient production plans in a multi-period economy

Author

Listed:
  • Jacques H. Drèze

    () (CORE, Université Catholique de Louvain - Belgium)

  • Oussama Lachiri

    () (Centre d'Economie de la Sorbonne)

  • Enrico Minelli

    () (Dipartimento di Scienze Economiche, Università di Brescia - Italia)

Abstract

We propose an objective for the firm in a general model of production economies extending over time under uncertainty and with incomplete markets. Trading in commodities and shares of stock occurs sequentially on spot markets at all date-events. We derive the objective of the firm from the assumption of initial-shareholders efficiency. Each shareholder is assumed to communicate to the firm her marginal valuation of profits all date events (expressed in terms of initial resources). In defining her own marginal valuation of the firm's profits, a shareholder will take two elements into consideration. To evaluate the direct impact of a change in dividends the shareholder uses her own vector of marginal rates of substitution for revenue across date-events. In addition, the shareholder will take into account the impact of future dividends on the firm's stock price when she trades shares. To predict the effect on the stock price, she uses a (possibly different) state price process, her price theory. The only restriction that we impose on consumers' price theories is that they should be compatible with the observed equilibrium : given the equilibrium prices and production plans, a price theory must satisfy a no-arbitrage condition. The firm computes its own shadow prices for profits at all date-events by simply adding up the marginal valuations of all its initial shareholders. We prove existence of an equilibrium.

Suggested Citation

  • 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.
  • Handle: RePEc:mse:cesdoc:b07065
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    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. Bisin, Alberto, 1998. "General Equilibrium with Endogenously Incomplete Financial Markets," Journal of Economic Theory, Elsevier, vol. 82(1), pages 19-45, September.
    4. Dreze, Jacques H, 1985. "(Uncertainty and) the Firm in General Equilibrium Theory," Economic Journal, Royal Economic Society, vol. 95(380a), pages 1-20, Supplemen.
    5. Magill, Michael & Shafer, Wayne, 1991. "Incomplete markets," Handbook of Mathematical Economics,in: W. Hildenbrand & H. Sonnenschein (ed.), Handbook of Mathematical Economics, edition 1, volume 4, chapter 30, pages 1523-1614 Elsevier.
    6. 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.
    7. Geanakoplos, John, 1990. "An introduction to general equilibrium with incomplete asset markets," Journal of Mathematical Economics, Elsevier, vol. 19(1-2), pages 1-38.
    8. Radner, Roy, 1972. "Existence of Equilibrium of Plans, Prices, and Price Expectations in a Sequence of Markets," Econometrica, Econometric Society, vol. 40(2), pages 289-303, March.
    9. 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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    Cited by:

    1. Bisin, Alberto; & Gottardi, Piero; & Ruta, Guido, 2014. "Equilibrium corporate finance and intermediation," Economics Working Papers ECO2014/09, European University Institute.
    2. Guido Ruta & Piero Gottardi, 2009. "Equilibrium corporate finance," 2009 Meeting Papers 149, Society for Economic Dynamics.

    More about this item

    Keywords

    Incomplete markets; shareholders; price theories; firm's objective.;

    JEL classification:

    • D21 - Microeconomics - - Production and Organizations - - - Firm Behavior: Theory
    • D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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