Abstract
This paper determines the set of rational responses by shareholders to unconditional takeover offers at prices between the pre-acquisition and post-acquisition price of the firm. Two cases are considered. In the first case, coordination across shareholders is not presumed. In this case, the game is analyzed using the Rationalizability criteria (Bernheim, 1984). It is demonstrated that the Rationalizable strategy vectors include all pure strategy vectors. In the second case, the set of strategies consistent with coordination through preplay communication, the Coalition Proof Nash Equilibria (Bernheim, Peleg, and Whinston, 1987) are analyzed. It is shown that, given even a minimal degree of divisibility of shareholdings, the raider's per share profit is bounded from below by a positive constant independent of the number of shareholders. These results imply that preplay coordination between shareholders eliminates the “free-rider” problem.
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References
Abreu, D., “Towards a Theory of Discounted Repeated Games.” Econometrica 56, 383–396, (1988).
Aumann, R., “Subjectivity and Correlation in Randomized Strategies.” Journal of Mathematical Economics 1, 67–96, (1974).
Bagnoli, M. and B. Lipman, “Successful Takeovers without Exclusion.” Review of Financial Studies 1, 89–110, (1988).
Bernheim, D., “Rationalizable Strategic Behavior.” Econometrica 52, 1007–1028, (1984).
Bernheim, D., B. Peleg, and M. Whinston, “Coalition Proof Equilibria I: Concepts.” Journal of Economic Theory 42, 1–12, (1987).
Bradley, M., “Interfirm Tender Offers and the Market for Corporate Control.” Journal of Business 53, 345–376, (1980).
Brickley, J., R. Lease, and C. Smith, “Ownership Structure and Voting on AntiTakeover Amendments.” Journal of Financial Economics 20, 267–291, (1988).
Chatterjee, S., U. Dhiillon, and G. Ramirez, “Coercive Tender and Exchange Offers in High Yield Debt Restructurings: An Empirical Analysis.”0 working paper, SUNY-Binghamton, 1992.
DeMarzio, P., “Sustainable Social Norms.” Games and Economic Behavior 4, 72–100, (1992).
Evans, J., J. Chilton, and L. Brooks. “Managerial Compensation, Entrenchment, and Bid Premia.” University of Iowa Working Paper 91-22, 1991.
Farrell, J., “Communication, Coordination and Nash Equilibrium.” Economics Letters 27, 209–214, (1988).
Gertner R. and D. Scharstein, “A Theory of Workouts and the Effects of Reorganization Law.” Journal of Finance 46, 1189–1223, (1991).
Greenberg, J. The Theory of Social Situations, Cambridge University Press, New York, 1990.
Grossman, S. and O. Hart, “Takeover Bids, the Free-Rider Problem, and the Theory of the Corporation.” Bell Journal of Economics 11, 42–64, (1980)
Harris, M. and A. Raviv, “Corporate Control Contests and Capital Structure.” Journal of Finance 42, 55–86, (1988).
Harrington, J. E. and K. Prokop, “The Dynamics of the Free-Rider Problem in Takeovers: A Numerical Approach.” working paper, Northwestern University, 1992.
Holmstrom, B. and B. Nalebuff, “To the Raider Goes the Surplus? A Reexamination of the Free Rider Problem.” Journal of Economics and Management Strategy 1, 37–62, (1992).
Hwang, C., R. Nachtmann, and A. Rosenfeld, “Institutional Investors, Corporate Decision Making, and Shareholder Wealth: The Case of Corporate Acquisitions.” working paper, University of Pittsburgh, 1992.
Kreps, D., “Nash equilibria.” in the New Palgave: Game Theory, ed. by J. Eatwell, M. Milgate, and P. Newman, New York: Norton, 1989.
Lang, L., R. Stulz, and R. Walkling, “A Test of the Free Cash Flow Hypothesis: The Case of Bidder Returns.” Journal of Financial Economics 29, 315–336, (1991).
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Noe, T.H. Rationalizable and Coalition Proof Shareholder Tendering Strategies in Corporate Takeovers. Review of Quantitative Finance and Accounting 11, 269–291 (1998). https://doi.org/10.1023/A:1008333916568
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DOI: https://doi.org/10.1023/A:1008333916568