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Indirect Control of Corporations

Author

Listed:
  • Gambarelli, Gianfranco
  • Owen, Guillermo

Abstract

We consider situations in which shares of n firms are held by the same n firms as well as by individual investors. The problem is to determine the actual control of the firms by the individual investors. In part 1, we develop the mathematical model, and explain the basic notions of clutter and of effective reduction. In part 2 we introduce the idea of a consistent reduction, prove existence of such, and show the relation between consistent and effective reductions. In part 3 we introduce multilinear extensions and show how these can be used to calculate the effective and consistent reductions. Several examples are worked out in detail.

Suggested Citation

  • Gambarelli, Gianfranco & Owen, Guillermo, 1994. "Indirect Control of Corporations," International Journal of Game Theory, Springer;Game Theory Society, vol. 23(4), pages 287-302.
    • Handle: RePEc:spr:jogath:v:23:y:1994:i:4:p:287-302
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    Citations

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    Cited by:

    1. Vito Fragnelli & Gianfranco Gambarelli, 2014. "Further open problems in cooperative games," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 24(4), pages 51-62.
    2. Marc Levy, 2006. "Control in Pyramidal Structures," Working Papers CEB 06-023.RS, ULB -- Universite Libre de Bruxelles.
    3. Crama, Yves & Leruth, Luc, 2007. "Control and voting power in corporate networks: Concepts and computational aspects," European Journal of Operational Research, Elsevier, vol. 178(3), pages 879-893, May.
    4. Enrico Denti & Nando Prati, 2004. "Relevance of winning coalitions in indirect control of corporations," Theory and Decision, Springer, vol. 56(1), pages 183-192, April.
    5. Miguel Manjon, 2007. "Does the proxy for shareholders' control make a difference in firm-performance regressions? Evidence from a blockholder system of corporate governance," Applied Economics Letters, Taylor & Francis Journals, vol. 14(6), pages 445-449.
    6. Qianqian Kong & Hans Peters, 2021. "An issue based power index," International Journal of Game Theory, Springer;Game Theory Society, vol. 50(1), pages 23-38, March.
    7. Stefano Moretti & Rodica Branzei & Henk Norde & Stef Tijs, 2004. "The P-value for cost sharing in minimum," Theory and Decision, Springer, vol. 56(2_2), pages 47-61, February.
    8. Marc Levy & Ariane Szafarz, 2017. "Cross-Ownership: A Device for Management Entrenchment?," Review of Finance, European Finance Association, vol. 21(4), pages 1675-1699.
    9. Levy, Marc, 2011. "The Banzhaf index in complete and incomplete shareholding structures: A new algorithm," European Journal of Operational Research, Elsevier, vol. 215(2), pages 411-421, December.
    10. Takayuki Mizuno & Shohei Doi & Shuhei Kurizaki, 2020. "The power of corporate control in the global ownership network," PLOS ONE, Public Library of Science, vol. 15(8), pages 1-19, August.
    11. Hans Peters & Judith Timmer & Rene van den Brink, 2016. "Power on digraphs," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 26(2), pages 107-125.
    12. Nicodano, Giovanna, 1998. "Corporate groups, dual-class shares and the value of voting rights," Journal of Banking & Finance, Elsevier, vol. 22(9), pages 1117-1137, September.
    13. Nando Prati & Enrico Denti, 2001. "An algorithm for winning coalitions in indirect control of corporations," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 24(2), pages 153-158, November.
    14. Karos, Dominik & Peters, Hans, 2015. "Indirect control and power in mutual control structures," Games and Economic Behavior, Elsevier, vol. 92(C), pages 150-165.

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