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Voting in Assemblies of shareholders and Incomplete Markets

  • Mich Tvede

    (Institute of Economics)

  • Hervé Crès

An economy with two dates is considered, one state at the ¯rst date and a ¯nite number of states at the last date. Shareholders determine production plans by voting { one share, one vote { and at ½-majority stable equilibria, alternative production plans are supported by at most ½ £ 100 percent of the shareholders. It is shown that a ½-majority stable equilibrium exists provided that ½ ¸ min ½ S ¡ J S ¡ J + 1 ; B B + 1 ¾ where S is the number of states at the last date, J is the number of ¯rms and B is the dimensions of the sets of e±cient production plans for ¯rms. Moreover, an example shows that ½-majority stable equilibria need not exist for smaller ½'s.

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Paper provided by Sciences Po in its series Sciences Po publications with number 722/2001.

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Date of creation: 2001
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Handle: RePEc:spo:wpmain:info:hdl:2441/10283
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  1. Ferejohn, John A. & Grether, David M., . "On a Class of Rational Social Decision Procedures," Working Papers 25, California Institute of Technology, Division of the Humanities and Social Sciences.
  2. CRES, Herve & TVEDE, Mich, 2001. "Proxy fights in incomplete markets: when majority voting and sidepayments are equivalent," Les Cahiers de Recherche 726, HEC Paris.
  3. Wayne Shafer & Hugo Sonnenschein, 1974. "Equilibrium in Abstract Economies Without Ordered Preferences," Discussion Papers 94, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  4. Balasko, Yves & Cres, Herve, 1997. "The Probability of Condorcet Cycles and Super Majority Rules," Journal of Economic Theory, Elsevier, vol. 75(2), pages 237-270, August.
  5. Caplin, A. & Nalebuff, B., 1989. "Aggregation And Social Choice: A Mean Voter Theorem," Discussion Papers 1989_31, Columbia University, Department of Economics.
  6. Steinar Ekern & Robert Wilson, 1974. "On the Theory of the Firm in an Economy with Incomplete Markets," Bell Journal of Economics, The RAND Corporation, vol. 5(1), pages 171-180, Spring.
  7. CRES, Herve, 2000. "Majority stable production equilibria : a multivariate mean shareholders theorem," Les Cahiers de Recherche 706, HEC Paris.
  8. Caplin, Andrew S & Nalebuff, Barry J, 1988. "On 64%-Majority Rule," Econometrica, Econometric Society, vol. 56(4), pages 787-814, July.
  9. DeMarzo, Peter M, 1993. "Majority Voting and Corporate Control: The Rule of the Dominant Shareholder," Review of Economic Studies, Wiley Blackwell, vol. 60(3), pages 713-34, July.
  10. Dreze, Jacques H, 1985. "(Uncertainty and) the Firm in General Equilibrium Theory," Economic Journal, Royal Economic Society, vol. 95(380a), pages 1-20, Supplemen.
  11. 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.
  12. Greenberg, Joseph, 1979. "Consistent Majority Rules over Compact Sets of Alternatives," Econometrica, Econometric Society, vol. 47(3), pages 627-36, May.
  13. 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.
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