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Majority stable production equilibria : a multivariate mean shareholders theorem

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Author Info
CRES, Herve

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Abstract

In a simple parametric general equilibrium model with S states of nature and K < S firms - and thus potentially incomplete markets-, rates of super majority rule p€[1/2, 1] are computed which guarantee the existence of p -majority stable production equilibria : within each firm, no alternative production plan can rally a proportion bigger than p of the shareholders, or shares (depending on the governance), against the equilibrium. The smallest p are obtained for announced production plans whose span contains the ideal consumptions of all K mean shareholders. This is done under various governances. These rates of super majority are shown to be always smaller than Caplin and Nalebuff (1988, 1991) bound of 1-1/e ~ 0.64. Moreover, simple majority production equilibria are shown to exist for any initial distribution of types when K=S-1, and for symmetric distributions of types as soon as K > S/2. Finally, through parametric examples, these rates are shown to decrease with the homogeneity of the shareholders' beliefs on the probabilities of the states of nature, and to increase with the shareholders' pessimism.

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Publisher Info
Paper provided by HEC Paris in its series Les Cahiers de Recherche with number 706.

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Length: 39 pages
Date of creation: 01 Jun 2000
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Handle: RePEc:ebg:heccah:0706

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Postal: HEC Paris, 78351 Jouy-en-Josas cedex, France
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Related research
Keywords: Shareholder's vote; general equilibrium; incomplete markets; super majority;

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Find related papers by JEL classification:
C60 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - General
C68 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Computable General Equilibrium Models

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

  1. Grandmont, Jean-Michel, 1978. "Intermediate Preferences and the Majority Rule," Econometrica, Econometric Society, vol. 46(2), pages 317-30, March. [Downloadable!] (restricted)
  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. [Downloadable!] (restricted)
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  3. Cres, Herve & Tvede, Mich, 2001. "Ordering Pareto-optima through majority voting," Mathematical Social Sciences, Elsevier, vol. 41(3), pages 295-325, May. [Downloadable!] (restricted)
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  4. Andrew Caplin & Barry Nalebuff, 1990. "Aggregation and Social Choice: A Mean Voter Theorem," Cowles Foundation Discussion Papers 938, Cowles Foundation, Yale University. [Downloadable!]
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  5. Kramer, Gerald H, 1973. "On a Class of Equilibrium Conditions for Majority Rule," Econometrica, Econometric Society, vol. 41(2), pages 285-97, March. [Downloadable!] (restricted)
  6. Greenberg, Joseph, 1979. "Consistent Majority Rules over Compact Sets of Alternatives," Econometrica, Econometric Society, vol. 47(3), pages 627-36, May. [Downloadable!] (restricted)
  7. John Geanakoplos & Michael Magill & Martine Quinzii & J. Dreze, 1988. "Generic Inefficiency of Stock Market Equilibrium When Markets Are Incomplete," Cowles Foundation Discussion Papers 863, Cowles Foundation, Yale University. [Downloadable!]
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  8. DeMarzo, Peter M, 1993. "Majority Voting and Corporate Control: The Rule of the Dominant Shareholder," Review of Economic Studies, Blackwell Publishing, vol. 60(3), pages 713-34, July. [Downloadable!] (restricted)
  9. Caplin, Andrew S & Nalebuff, Barry J, 1988. "On 64%-Majority Rule," Econometrica, Econometric Society, vol. 56(4), pages 787-814, July. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. CRES, Herve & TVEDE, Mich, 2001. "Proxy fights in incomplete markets: when majority voting and sidepayments are equivalent," Les Cahiers de Recherche 726, HEC Paris. [Downloadable!]
  2. Beker, Pablo F, 2007. "Market Selection and Payout Policy Under Majority Rule," The Warwick Economics Research Paper Series (TWERPS) 814, University of Warwick, Department of Economics. [Downloadable!]
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