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Bank mergers as scale-free coagulation

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  • Pushkin, Dmitri O
  • Aref, Hassan

Abstract

The asset size distribution of US banks is viewed as the result of a scale-free coagulation process. When two banks merge, the assets of the combined institution equals the sum of the assets of the constituent banks. Analysis of the Smoluchowski coagulation equation suggests the emergence of a steady state, power-law distribution with an exponent that only depends on the degree of homogeneity of the coagulation rate. Bank merger data satisfies such power-law scaling. We develop an underlying theoretical framework for bank mergers quite different from prevailing ideas based on game theory on the one hand, and recent econophysical models on the other. As a corollary we show that in order to avoid the emergence of a mega-bank, the rate of return should decrease with the bank size. Finally, we suggest that stochastic coagulation may provide a unifying description of fast integration processes characteristic of globalization.

Suggested Citation

  • Pushkin, Dmitri O & Aref, Hassan, 2004. "Bank mergers as scale-free coagulation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 336(3), pages 571-584.
  • Handle: RePEc:eee:phsmap:v:336:y:2004:i:3:p:571-584
    DOI: 10.1016/j.physa.2003.12.056
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    References listed on IDEAS

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    1. Farrell, Joseph & Shapiro, Carl, 1990. "Horizontal Mergers: An Equilibrium Analysis," American Economic Review, American Economic Association, vol. 80(1), pages 107-126, March.
    2. Blank, Aharon & Solomon, Sorin, 2000. "Power laws in cities population, financial markets and internet sites (scaling in systems with a variable number of components)," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 287(1), pages 279-288.
    3. Perry, Martin K & Porter, Robert H, 1985. "Oligopoly and the Incentive for Horizontal Merger," American Economic Review, American Economic Association, vol. 75(1), pages 219-227, March.
    4. Allen N. Berger, 2000. "The integration of the financial services industry: where are the efficiencies?," Finance and Economics Discussion Series 2000-36, Board of Governors of the Federal Reserve System (U.S.).
    5. Okuyama, K & Takayasu, M & Takayasu, H, 1999. "Zipf's law in income distribution of companies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 269(1), pages 125-131.
    6. Xavier Gabaix, 1999. "Zipf's Law for Cities: An Explanation," The Quarterly Journal of Economics, Oxford University Press, vol. 114(3), pages 739-767.
    7. Amaral, L.A.N. & Gopikrishnan, P. & Plerou, V. & Stanley, H.E., 2001. "A model for the growth dynamics of economic organizations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 299(1), pages 127-136.
    8. Xavier Gabaix, 1999. "Zipf's Law and the Growth of Cities," American Economic Review, American Economic Association, vol. 89(2), pages 129-132, May.
    9. Raymond Deneckere & Carl Davidson, 1985. "Incentives to Form Coalitions with Bertrand Competition," RAND Journal of Economics, The RAND Corporation, vol. 16(4), pages 473-486, Winter.
    10. Gautam Gowrisankaran, 1999. "A Dynamic Model of Endogenous Horizonal Mergers," RAND Journal of Economics, The RAND Corporation, vol. 30(1), pages 56-83, Spring.
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    Citations

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    Cited by:

    1. Grilli, Ruggero & Tedeschi, Gabriele & Gallegati, Mauro, 2014. "Bank interlinkages and macroeconomic stability," International Review of Economics & Finance, Elsevier, vol. 34(C), pages 72-88.
    2. Xavier Gabaix & Parameswaran Gopikrishnan & Vasiliki Plerou & H. Eugene Stanley, 2006. "Institutional Investors and Stock Market Volatility," The Quarterly Journal of Economics, Oxford University Press, vol. 121(2), pages 461-504.
    3. Blank, Sven & Buch, Claudia M. & Neugebauer, Katja, 2009. "Shocks at large banks and banking sector distress: The Banking Granular Residual," Journal of Financial Stability, Elsevier, vol. 5(4), pages 353-373, December.
    4. Recchioni, Maria Cristina & Tedeschi, Gabriele & Berardi, Simone, 2014. "Bank's strategies during the financial crisis," FinMaP-Working Papers 25, Collaborative EU Project FinMaP - Financial Distortions and Macroeconomic Performance: Expectations, Constraints and Interaction of Agents.
    5. Tedeschi, Gabriele & Iori, Giulia & Gallegati, Mauro, 2012. "Herding effects in order driven markets: The rise and fall of gurus," Journal of Economic Behavior & Organization, Elsevier, vol. 81(1), pages 82-96.

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