Foundations of dynamic monopoly and the Coase conjecture. (English) Zbl 0605.90037
Subgame-perfect equilibria are characterized for a market in which the seller quotes a price each period. Assume zero costs, positive interest rate, continuum of buyers, and some technical conditions. If buyers’ valuations are positive then equilibrium is unique, buyers’ strategies are stationary, and the price sequence is determinant along the equilibrium path but possibly randomized elsewhere. Otherwise a continuum of stationary equilibria can exist, but at most one with analytic strategies. Coase’s conjecture is verified for stationary strategies: reducing the period length drives all prices to zero or the least valuation. Connections to bargaining models are described.
Keywords:
dynamic monopoly; Subgame-perfect equilibria; equilibrium path; continuum of stationary equilibria; bargainingReferences:
| [1] | Bulow, J. I., Durable-goods monopolists, J. Polit. Econ., 90, 314-332 (1982) |
| [2] | Coase, R. H., Durability and monopoly, J. Law Econ., 15, 143-149 (1972) |
| [3] | Cramton, P. C., The Role of Time and Information in Bargaining, (Ph.D. dissertation (1984), Stanford University) |
| [4] | Fudenberg, D.; Levine, D.; Tirole, J., Infinite horizon models of bargaining with one-sided incomplete information, (Alvin, Roth, Bargaining with Incomplete Information (1985), Cambridge Univ. Press: Cambridge Univ. Press London/New York), 73-98 |
| [5] | Grossman, S. J.; Perry, M., Sequential bargaining under asymmetric information (December 1984), University of Chicago, working paper |
| [6] | Gul, F., Two Essays on the Bargaining Foundations of Value Theory, (Ph.D. dissertation (1986), Princeton University) |
| [7] | Kahn, Charles, The durable goods monopolist and consistency with increasing costs, Econometrica, 54, 275-294 (1986) · Zbl 0602.90021 |
| [8] | Rubinstein, A., Perfect equilibrium in a bargaining model, Econometrica, 50, 97-110 (1982) · Zbl 0474.90092 |
| [9] | Rubinstein, A., A bargaining model with incomplete information about preferences, Econometrica, 53, 1151-1172 (1985) · Zbl 0588.90103 |
| [10] | Sobel, J.; Takahashi, I., A multi-stage model of bargaining, Rev. Econ. Stud., 50, 411-426 (1983) · Zbl 0515.90085 |
| [11] | Stokey, N. L., Rational expectations and durable goods pricing, Bell J. Econ., 12, 112-128 (1982) |
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