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Modelling firm mergers as a roommate problem

  • Angelov, Nikolay

    ()

    (Department of Economics)

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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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
Web page: http://www.nek.uu.se/
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  1. 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.
  2. 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.
  3. 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.
  4. 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.
  5. John K. Dagsvik & Ane S. Flaatten & Helge Brunborg, 1998. "A Behavioral Two-Sex Marriage Model," Discussion Papers 238, Statistics Norway, Research Department.
  6. Horn, Henrik & Persson, Lars, 2001. "Endogenous mergers in concentrated markets," International Journal of Industrial Organization, Elsevier, vol. 19(8), pages 1213-1244, September.
  7. Diamantoudi, Effrosyni & Miyagawa, Eiichi & Xue, Licun, 2004. "Random paths to stability in the roommate problem," Games and Economic Behavior, Elsevier, vol. 48(1), pages 18-28, July.
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