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Approximate implementation in Markovian environments

Listed author(s):
  • Renou, Ludovic
  • Tomala, Tristan

This paper considers dynamic implementation problems in environments with changing private information (according to Markov processes). A social choice function is approximately implementable if it is correctly implemented an arbitrary large number of times with arbitrary high probability in all (communication) equilibria. We show that if a social choice function is strictly efficient in the set of social choice functions that satisfy an undetectability condition, then it is approximately implementable.

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File URL: http://www.sciencedirect.com/science/article/pii/S0022053115001325
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Article provided by Elsevier in its journal Journal of Economic Theory.

Volume (Year): 159 (2015)
Issue (Month): PA ()
Pages: 401-442

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Handle: RePEc:eee:jetheo:v:159:y:2015:i:pa:p:401-442
DOI: 10.1016/j.jet.2015.07.009
Contact details of provider: Web page: http://www.elsevier.com/locate/inca/622869

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  1. Radner, Roy, 1981. "Monitoring Cooperative Agreements in a Repeated Principal-Agent Relationship," Econometrica, Econometric Society, vol. 49(5), pages 1127-1148, September.
  2. Glynn, Peter W. & Ormoneit, Dirk, 2002. "Hoeffding's inequality for uniformly ergodic Markov chains," Statistics & Probability Letters, Elsevier, vol. 56(2), pages 143-146, January.
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  4. Jihong Lee & Hamid Sabourian, 2011. "Efficient Repeated Implementation," Econometrica, Econometric Society, vol. 79(6), pages 1967-1994, November.
  5. Matsushima, Hitoshi, 1988. "A new approach to the implementation problem," Journal of Economic Theory, Elsevier, vol. 45(1), pages 128-144, June.
  6. Matsushima, Hitoshi & Miyazaki, Koichi & Yagi, Nobuyuki, 2010. "Role of linking mechanisms in multitask agency with hidden information," Journal of Economic Theory, Elsevier, vol. 145(6), pages 2241-2259, November.
  7. Fudenberg, Drew & Levine, David I & Maskin, Eric, 1994. "The Folk Theorem with Imperfect Public Information," Econometrica, Econometric Society, vol. 62(5), pages 997-1039, September.
  8. Abreu, Dilip & Sen, Arunava, 1991. "Virtual Implementation in Nash Equilibrium," Econometrica, Econometric Society, vol. 59(4), pages 997-1021, July.
  9. Lehrer, E, 1989. "Lower Equilibrium Payoffs in Two-Player Repeated Games with Non-observable Actions," International Journal of Game Theory, Springer;Game Theory Society, vol. 18(1), pages 57-89.
  10. Radner, Roy, 1985. "Repeated Principal-Agent Games with Discounting," Econometrica, Econometric Society, vol. 53(5), pages 1173-1198, September.
  11. Juan F. Escobar & Juuso Toikka, 2013. "Efficiency in Games With Markovian Private Information," Econometrica, Econometric Society, vol. 81(5), pages 1887-1934, September.
  12. Mailath George J. & Matthews Steven A. & Sekiguchi Tadashi, 2002. "Private Strategies in Finitely Repeated Games with Imperfect Public Monitoring," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 2(1), pages 1-23, June.
  13. Townsend, Robert M, 1982. "Optimal Multiperiod Contracts and the Gain from Enduring Relationships under Private Information," Journal of Political Economy, University of Chicago Press, vol. 90(6), pages 1166-1186, December.
  14. Matthew O Jackson & Hugo F Sonnenschein, 2007. "Overcoming Incentive Constraints by Linking Decisions -super-1," Econometrica, Econometric Society, vol. 75(1), pages 241-257, January.
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