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On Measurement of Control in Corporate Structures

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Book cover Transactions on Computational Collective Intelligence XXXI

Part of the book series: Lecture Notes in Computer Science ((TCCI,volume 11290))

Abstract

Various methods to measure power control of firms in corporate shareholding structures are introduced. This paper is a study of some game-theoretical approaches for measuring direct and indirect control in complex corporate networks. We concentrate on the comparison of methods that use power indices to evaluate the control-power of firms involved in complex corporate networks. More precisely, we only thoroughly analyze the Karos and Peters and the Mercik and Lobos approaches. In particular, we consider the rankings of firms given by the considered methods and the meaning of the values assigned by the power indices to the stock companies presented in corporate networks. Some new results have been obtained. Specifically, taking into account a theoretical example of a corporate shareholding structure, we observe the different rankings of investors and stock companies given by the Φ index introduced by Karos and Peters in 2015 and the implicit index introduced by Mercik and Lobos in 2016. Then, some brief considerations about the reasonable requirements for indirect control measurement are provided, and some ideas of modifying the implicit index are undertaken. The paper also provides a short review of the literature of the game-theoretical approaches to measure control power in corporate networks.

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References

  1. Claessens, S., Djankov, S., Lang, L.H.P.: The separation of ownership and control in East Asian corporations. J. Financ. Econ. 58, 81–112 (2000)

    Article  Google Scholar 

  2. Faccio, M., Lang, L.H.P.: The ultimate ownership of Western European corporations. J. Financ. Econ. 65, 365–395 (2002)

    Article  Google Scholar 

  3. Levy, M., Szafarz, A.: Cross-ownership: a device for management entrenchment? Rev. Financ. 21(4), 1675–1699 (2017)

    MATH  Google Scholar 

  4. Gambarelli, G., Owen, G.: Indirect control of corporations. Int. J. Game Theory 23, 287–302 (1994)

    Article  MathSciNet  MATH  Google Scholar 

  5. Turnovec, F.: Privatization, ownership structure and transparency: how to measure the true involvement of the state. Eur. J. Polit. Econ. 15, 605–618 (1999)

    Article  Google Scholar 

  6. Denti, E., Prati, N.: An algorithm for winning coalitions in indirect control of corporations. Decis. Econ. Financ. 24, 153–158 (2001)

    Article  MathSciNet  MATH  Google Scholar 

  7. Denti, E., Prati, N.: Relevance of winning coalitions in indirect control of corporations. Theory Decis. 56, 183–192 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  8. Hu, X., Shapley, L.S.: On authority distributions in organizations: controls. Games Econ. Behav. 45, 153–170 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  9. Hu, X., Shapley, L.S.: On authority distributions in organizations: equilibrium. Games Econ. Behav. 45, 132–152 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  10. Crama, Y., Leruth, L.: Control and voting power in corporate networks: concepts and computational aspects. Eur. J. Oper. Res. 178, 879–893 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  11. Levy, M.: Control in pyramidal structures. Corp. Gov. Int. Rev. 17, 77–89 (2009)

    Article  Google Scholar 

  12. Levy, M.: The Banzhaf index in complete and incomplete shareholding structures: a new algorithm. Eur. J. Oper. Res. 215, 411–421 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  13. Karos, D., Peters, H.: Indirect control and power in mutual control structures. Games Econ. Behav. 92, 150–165 (2015)

    Article  MathSciNet  MATH  Google Scholar 

  14. Mercik, J., Łobos, K.: Index of implicit power as a measure of reciprocal ownership. In: Nguyen, N.T., Kowalczyk, R., Mercik, J. (eds.) Transactions on Computational Collective Intelligence XXIII. LNCS, vol. 9760, pp. 128–140. Springer, Heidelberg (2016). https://doi.org/10.1007/978-3-662-52886-0_8

    Chapter  Google Scholar 

  15. Bertini, C., Mercik, J., Stach, I.: Indirect control and power. Oper. Res. Decis. 26(2), 7–30 (2016)

    MathSciNet  Google Scholar 

  16. Kołodziej, M., Stach I.: Control sharing analysis and simulation. In: Sawik, T. (ed.) Conference Proceedings of ICIL 2016: 13th International Conference on Industrial Logistics, Zakopane, Poland, pp. 101–108. AGH University of Science and Technology, Krakow (2016)

    Google Scholar 

  17. Stach, I.: Indirect control of corporations: analysis and simulations. Decis. Making Manuf. Serv. 11(1–2), 31–51 (2017)

    MathSciNet  Google Scholar 

  18. Shapley, L.S., Shubik, M.: A method for evaluating the distributions of power in a committee system. Am. Polit. Sci. Rev. 48, 787–792 (1954)

    Article  Google Scholar 

  19. Banzhaf, J.F.: Weighted voting doesn’t work. A mathematical analysis. Rutgers Law Rev. 19, 317–343 (1965)

    Google Scholar 

  20. Johnston, R.J.: On the measurement of power: Some reactions to Laver. Environ. Plan. A 10, 907–914 (1978)

    Article  Google Scholar 

  21. Holler, M.J.: Forming coalitions and measuring voting power. Polit. Stud. 30, 262–271 (1982)

    Article  Google Scholar 

  22. Crama, Y., Leruth, L.: Power indices and the measurement of control in corporate structures. Int. Game Theory Rev. 15(3), 1–15 (2013)

    Article  MathSciNet  MATH  Google Scholar 

  23. Stach, I.: Shapley-Shubik index. In: Dowding, K. (ed.) Encyclopedia of Power, pp. 603–606. SAGE Publications, Los Angeles (2011)

    Google Scholar 

  24. Bertini, C., Stach, I.: Banzhaf voting power measure. In: Dowding, K. (ed.) Encyclopedia of Power, pp. 54–55. SAGE Publications, Los Angeles (2011)

    Google Scholar 

  25. Bertini, C., Freixas, J., Gambarelli, G., Stach, I.: Comparing power indices. Int. Game Theory Rev. 15(2), 1340004-1–1340004-19 (2013)

    Article  MathSciNet  MATH  Google Scholar 

  26. Bertini, C., Stach, I.: On public values and power indices. Decis. Making Manuf. Serv. 9(1), 9–25 (2015)

    MathSciNet  MATH  Google Scholar 

  27. Stach, I.: Power measures and public goods. In: Nguyen, N.T., Kowalczyk, R., Mercik, J. (eds.) Transactions on Computational Collective Intelligence XXIII. LNCS, vol. 9760, pp. 99–110. Springer, Heidelberg (2016). https://doi.org/10.1007/978-3-662-52886-0_6

    Chapter  Google Scholar 

  28. Felsenthal, D.S., Machover, M.: The Measurement of Voting Power: Theory and Practice, Problems and Paradoxes. Edward Elgar Publishers, London (1998)

    Book  MATH  Google Scholar 

  29. Laruelle, A.: On the choice of a power index. Working Papers AD 1999-20, Instituto Valenciano de Investigaciones Económicas (Ivie) (1999)

    Google Scholar 

  30. Freixas, J., Marciniak, D., Pons, M.: On the ordinal equivalence of the Johnston, Banzhaf and Shapley power indices. Eur. J. Oper. Res. 216(2), 367–375 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  31. Álvarez-Mozos, M., Ferreira, F., Alonso-Meijide, J.M., Pinto, A.A.: Characterizations of power indices based on null player free winning coalitions. Optim. J. Math. Program. Oper. Res. 64(3), 675–686 (2015)

    Google Scholar 

  32. Dubey, P.: On the uniqueness of the Shapley value. Am. Polit. Sci. Rev. 4, 131–139 (1975)

    MathSciNet  MATH  Google Scholar 

  33. Forlicz, S., Mercik, J., Ramsey, D., Stach, I.: The Shapley value for multigraphs. In: Nguyen, N., Pimenidis, E., Khan, Z., Trawiński, B. (eds.) Computational Collective Intelligence. LNAI, vol. 11056, 10th International Conference, ICCCI 2018 Bristol, UK, September 5–7, 2018 Proceedings, Part II, pp. 213–221. Springer, Cham (2018). https://doi.org/10.1007/978-3-319-98446-9_20

    Chapter  Google Scholar 

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Acknowledgements

Research is financed by the statutory funds (no. 11/11.200.322) of the AGH University of Science and Technology and by statutory funds of WSB University in Wroclaw. The authors would also like to thank the comments and suggestions of Gianfranco Gambarelli and Cesarino Bertini. Moreover, authors thank the anonymous reviewers for their careful reading of the manuscript and helpful comments and suggestions.

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Authors and Affiliations

  1. WSB University in Wroclaw, Fabryczna 29/31, 53-609, Wroclaw, Poland

    Jacek Mercik

  2. AGH University of Science and Technology, Al. Mickiewicza 30, 30-059, Krakow, Poland

    Izabella Stach

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  1. Jacek Mercik
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  2. Izabella Stach
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Correspondence to Izabella Stach .

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Editors and Affiliations

  1. Department of Information Systems, Wrocław University of Technology, Wrocław, Poland

    Ngoc Thanh Nguyen

  2. Swinburne University of Technology, Hawthorn, VIC, Australia

    Richard Kowalczyk

  3. WSB University Wroclaw, Wroclaw, Poland

    Jacek Mercik

  4. WSB University Wroclaw, Wroclaw, Poland

    Anna Motylska-Kuźma

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Mercik, J., Stach, I. (2018). On Measurement of Control in Corporate Structures. In: Nguyen, N., Kowalczyk, R., Mercik, J., Motylska-Kuźma, A. (eds) Transactions on Computational Collective Intelligence XXXI. Lecture Notes in Computer Science(), vol 11290. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-58464-4_7

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  • DOI: https://doi.org/10.1007/978-3-662-58464-4_7

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