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Modelling firm mergers as a roommate problem

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  • Angelov, Nikolay

    ()
    (Department of Economics)

Abstract

We propose a way to model firm mergers using a matching game known as the roommate problem, whereby firms are assumed to make preference rankings of potential merger partners. The position of a firm in another firm's ranking is assumed to be governed by an index, which in turn consists of a deterministic part and of a stochastic one, similar to the latent indices used in standard discrete-choice models. Given all firms' preferences, game-theoretic mechanisms lead to a matching whereby each firm is either self-matched or assigned a merger partner. We derive expressions for the probability of a merger between a specific firm pair, and also a log-likelihood function for estimation using firm-specific data. Using a simulation in a setting with groups of three firms involved in roommate games within each group, the model's finite-sample properties are examined.

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Bibliographic Info

Paper provided by Uppsala University, Department of Economics in its series Working Paper Series with number 2006:10.

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Length: 21 pages
Date of creation: 20 Jan 2006
Date of revision:
Handle: RePEc:hhs:uunewp:2006_010

Contact details of provider:
Postal: Department of Economics, Uppsala University, P. O. Box 513, SE-751 20 Uppsala, Sweden
Phone: + 46 18 471 25 00
Fax: + 46 18 471 14 78
Email:
Web page: http://www.nek.uu.se/
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Related research

Keywords: firm mergers; roommate game; matching markets; discrete response;

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References

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  1. Effrosyni Diamantoudi & Eiichi Miyagawa & Licun Xue, 2002. "Random paths to stability in the roommate problem," Discussion Papers 0102-65, Columbia University, Department of Economics.
  2. Morton I. Kamien & Israel Zang, 1987. "The Limits of Monopolization Through Acquisition," Discussion Papers 754, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  3. Roth, Alvin E & Vande Vate, John H, 1990. "Random Paths to Stability in Two-Sided Matching," Econometrica, Econometric Society, vol. 58(6), pages 1475-80, November.
  4. Horn, Henrik & Persson, Lars, 1996. "Endogenous Mergers in Concentrated Markets," CEPR Discussion Papers 1544, C.E.P.R. Discussion Papers.
  5. Fridolfsson, Sven-Olof & Stennek, Johan, 2006. "Industry Concentration and Welfare - On the Use of Stock Market Evidence from Horizontal Mergers," Working Paper Series 682, Research Institute of Industrial Economics.
  6. Ericson, Richard & Pakes, Ariel, 1995. "Markov-Perfect Industry Dynamics: A Framework for Empirical Work," Review of Economic Studies, Wiley Blackwell, vol. 62(1), pages 53-82, January.
  7. John K. Dagsvik & Ane S. Flaatten & Helge Brunborg, 1998. "A Behavioral Two-Sex Marriage Model," Discussion Papers 238, Research Department of Statistics Norway.
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Cited by:
  1. S�ren Blomquist & Vidar Christiansen & Luca Micheletto, 2010. "Public Provision of Private Goods and Nondistortionary Marginal Tax Rates," American Economic Journal: Economic Policy, American Economic Association, vol. 2(2), pages 1-27, May.
  2. Per Engström & Bertil Holmlund, 2006. "Tax Evasion and Self-Employment in a High-Tax Country: Evidence from Sweden," CESifo Working Paper Series 1736, CESifo Group Munich.
  3. Hallberg, Daniel, 2006. "Cross-national differences in income poverty among Europe´s 50+," Working Paper Series 2006:14, Uppsala University, Department of Economics.
  4. Ågren, Martin, 2006. "Prospect Theory and Higher Moments," Working Paper Series 2006:24, Uppsala University, Department of Economics.

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