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Efficiency and Observability with Long-Run and Short-Run Players

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  • Levine, David
  • Fudenberg, Drew

Abstract

We present a general algorithm for computing the limit, as δ → 1, of the set of payoffs of perfect public equilibria of repeated games with long-run and short-run players, allowing for the possibility that the players′ actions are not observable by their opponents. We illustrate the algorithm with two economic examples. In a simple partnership we show how to compute the equilibrium payoffs when the folk theorem fails. In an investment game, we show that two competing capitalists subject to moral hazard may both become worse off if their firms are merged and they split the profits from the merger. Finally, we show that with short-run players each long-run player′s highest equilibrium payoff is generally greater when their realized actions are observed.

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File URL: http://dash.harvard.edu/bitstream/handle/1/3203774/fudenberg_efficiency.pdf
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Bibliographic Info

Paper provided by Harvard University Department of Economics in its series Scholarly Articles with number 3203774.

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Date of creation: 1994
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Publication status: Published in Journal of Economic Theory
Handle: RePEc:hrv:faseco:3203774

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  1. Kreps, David M. & Wilson, Robert, 1982. "Reputation and imperfect information," Journal of Economic Theory, Elsevier, vol. 27(2), pages 253-279, August.
  2. Hansen, Gary D., 1985. "Indivisible labor and the business cycle," Journal of Monetary Economics, Elsevier, vol. 16(3), pages 309-327, November.
  3. Edward J Green & Robert H Porter, 1997. "Noncooperative Collusion Under Imperfect Price Information," Levine's Working Paper Archive 1147, David K. Levine.
  4. Fudenberg, Drew & Maskin, Eric, 1986. "The Folk Theorem in Repeated Games with Discounting or with Incomplete Information," Econometrica, Econometric Society, vol. 54(3), pages 533-54, May.
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