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A Note on Unanimity of Stockholders' Preferences among Alternative Production Plans: A Reformulation of the Ekern-Wilson Model

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  • Roy Radner

Abstract

This note, which was stimulated by Ekern and Wilson's study of the theory of the firm in an economy with incomplete markets, gives conditions for ex ante and ex post stockholders to be unanimous in their respective preferences among alternative production plans. This modest extension of Ekern and Wilson's analysis is facilitated by reinterpreting their model in standard Arrow-Debreu terms.

Suggested Citation

  • Roy Radner, 1974. "A Note on Unanimity of Stockholders' Preferences among Alternative Production Plans: A Reformulation of the Ekern-Wilson Model," Bell Journal of Economics, The RAND Corporation, vol. 5(1), pages 181-184, Spring.
  • Handle: RePEc:rje:bellje:v:5:y:1974:i:spring:p:181-184
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    Cited by:

    1. Azar, José, 2017. "Portfolio Diversification, Market Power, and the Theory of the Firm," IESE Research Papers D/1170, IESE Business School.
    2. DEHEZ, Pierre, 2012. "Incomplete-markets economies: the seminal work of Diamond, Drèze and Radner," LIDAM Discussion Papers CORE 2012029, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    3. José Azar & Xavier Vives, 2018. "Oligopoly, Macroeconomic Performance, and Competition Policy," CESifo Working Paper Series 7189, CESifo.
    4. Burda Michael C. & Weder Mark, 2002. "Complementarity of Labor Market Institutions, Equilibrium Unemployment and the Propagation of Business Cycles," German Economic Review, De Gruyter, vol. 3(1), pages 1-24, February.
    5. Joseph K. Cheung & John Heaney, 1990. "A contingent†claim integration of cost†volume†profit analysis with capital budgeting," Contemporary Accounting Research, John Wiley & Sons, vol. 6(2), pages 738-760, March.
    6. Levine, David K., 1989. "Infinite horizon equilibrium with incomplete markets," Journal of Mathematical Economics, Elsevier, vol. 18(4), pages 357-376, September.
    7. Marc Oliver Bettzüge & Thorsten Hens & Michael Zierhut, 2022. "Financial intermediation and the welfare theorems in incomplete markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 73(2), pages 457-486, April.
    8. Lemma W. Senbet & Robert A. Taggart, Jr., 1981. "Capital Structure Equilibrium under Incomplete Market Conditions," NBER Working Papers 0747, National Bureau of Economic Research, Inc.
    9. Burda, Michael C. & Weder, Mark, 1998. "Endogenes Wachstum, gleichgewichtige Arbeitslosigkeit und persistente Konjunkturzyklen," SFB 373 Discussion Papers 1999,9, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
    10. David P. Baron, 1977. "On the Relationship Between Complete and Incomplete Financial Markets Models," Discussion Papers 241, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    11. 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.
    12. Douglas Gale & Piero Gottardi, 2018. "A General Equilibrium Theory of Capital Structure," 2018 Meeting Papers 264, Society for Economic Dynamics.
    13. Gale, Douglas & Gottardi, Piero, 2020. "A general equilibrium theory of banks' capital structure," Journal of Economic Theory, Elsevier, vol. 186(C).
    14. Joseph E. Stiglitz, 2004. "Information and the Change in the Paradigm in Economics, Part 2," The American Economist, Sage Publications, vol. 48(1), pages 17-49, March.
    15. Piero Gottardi & Douglas Gale, 2017. "Equilibrium Theory of Banks' Capital Structure," 2017 Meeting Papers 380, Society for Economic Dynamics.
    16. Zierhut, Michael, 2019. "Nonexistence of constrained efficient production plans," Journal of Mathematical Economics, Elsevier, vol. 83(C), pages 127-136.
    17. Michael Zierhut, 2017. "Constrained efficiency versus unanimity in incomplete markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 64(1), pages 23-45, June.
    18. Magill, Michael & Quinzii, Martine, 2008. "Normative properties of stock market equilibrium with moral hazard," Journal of Mathematical Economics, Elsevier, vol. 44(7-8), pages 785-806, July.
    19. Kokonas, Nikolaos & Polemarchakis, Herakles, 2016. "Short sales, destruction of resources, welfare," Journal of Mathematical Economics, Elsevier, vol. 67(C), pages 120-124.
    20. Magill, Michael & Quinzii, Martine, 2002. "Capital market equilibrium with moral hazard," Journal of Mathematical Economics, Elsevier, vol. 38(1-2), pages 149-190, September.
    21. Magill, Michael & Quinzii, Martine, 2008. "Normative properties of stock market equilibrium with moral hazard," Journal of Mathematical Economics, Elsevier, vol. 44(7-8), pages 785-806, July.
    22. David M. Kreps, 1982. "Multiperiod Securities and the Efficient Allocation of Risk: A Comment on the Black-Scholes Option Pricing Model," NBER Chapters, in: The Economics of Information and Uncertainty, pages 203-232, National Bureau of Economic Research, Inc.
    23. Michael Magill, 2000. "Equity, Options and Efficiency in the Presence of Moral Hazard," Econometric Society World Congress 2000 Contributed Papers 1845, Econometric Society.
    24. Tom Arnold & Richard Shockley, 2010. "Real Options Analysis and the Assumptions of Corporate Finance: A Non-Technical Review," Multinational Finance Journal, Multinational Finance Journal, vol. 14(1-2), pages 29-71, March-Jun.
    25. 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).

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