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Voting in assemblies of shareholders and incomplete markets

  • Mich Tvede

    ()

  • Hervé Crés

    ()

An economy with two dates is considered, one state at the first date and a finite number of states at the last date. Shareholders determine production plans by voting - one share, one vote - and at $\rho$ -majority stable stock market equilibria, alternative production plans are supported by at most $\rho \times 100$ percent of the shareholders. It is shown that a $\rho$ -majority stable stock market equilibrium exists if $$ \rho\ \geq\ \dfrac{S-J}{S-J + 1}, $$ where S is the number of states at the last date and J is the number of firms. Moreover, an example shows that $\rho$ -majority stable stock market equilibria need not exist for smaller $\rho$ ’s. Copyright Springer-Verlag Berlin/Heidelberg 2005

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File URL: http://hdl.handle.net/10.1007/s00199-004-0537-x
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Article provided by Springer in its journal Economic Theory.

Volume (Year): 26 (2005)
Issue (Month): 4 (November)
Pages: 887-906

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Handle: RePEc:spr:joecth:v:26:y:2005:i:4:p:887-906
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  1. Caplin, Andrew S & Nalebuff, Barry J, 1988. "On 64%-Majority Rule," Econometrica, Econometric Society, vol. 56(4), pages 787-814, July.
  2. 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.
  3. Shafer, Wayne & Sonnenschein, Hugo, 1975. "Equilibrium in abstract economies without ordered preferences," Journal of Mathematical Economics, Elsevier, vol. 2(3), pages 345-348, December.
  4. Hervé Crès & Mich Tvede, 2001. "Proxy fights in incomplete markets: when majority voting and sidepayments are equivalent," Sciences Po publications 726/2001, Sciences Po.
  5. Dreze, J.H., 1984. "(Uncertainty and) the firm in general equilibrium theory," CORE Discussion Papers 1984026, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  6. 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.
  7. Caplin, Andrew & Nalebuff, Barry, 1991. "Aggregation and Social Choice: A Mean Voter Theorem," Econometrica, Econometric Society, vol. 59(1), pages 1-23, January.
  8. CRES, Herve, 2000. "Majority stable production equilibria : a multivariate mean shareholders theorem," Les Cahiers de Recherche 706, HEC Paris.
  9. 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.
  10. Yves Balasko & Hervé Crès, 1995. "The Probability of Condorcet Cycles and Super Majority Rules," Research Papers by the Institute of Economics and Econometrics, Geneva School of Economics and Management, University of Geneva 95.01, Institut d'Economie et Econométrie, Université de Genève.
  11. 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.
  12. Greenberg, Joseph, 1979. "Consistent Majority Rules over Compact Sets of Alternatives," Econometrica, Econometric Society, vol. 47(3), pages 627-36, May.
  13. 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.
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