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A Theory of Regular Markov Perfect Equilibria in Dynamic Stochastic Games: Genericity, Stability, and Purification

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  • Doraszelski, Ulrich
  • Escobar, Juan

Abstract

This paper develops a theory of regular Markov perfect equilibria in dynamic stochastic games. We show that almost all dynamic stochastic games have a finite number of locally isolated Markov perfect equilibria that are all regular. These equilibria are essential and strongly stable. Moreover, they all admit purification.

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Paper provided by C.E.P.R. Discussion Papers in its series CEPR Discussion Papers with number 6805.

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Date of creation: Apr 2008
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Handle: RePEc:cpr:ceprdp:6805

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Keywords: computation; dynamic stochastic games; essentiality; estimation; finiteness; genericity; Markov perfect equilibrium; purifiability; regularity; repeated games; strong stability;

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References

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  3. Ulrich Doraszelski & Mark Satterthwaite, 2007. "Computable Markov-Perfect Industry Dynamics: Existence, Purification, and Multiplicity," Levine's Bibliography 321307000000000912, UCLA Department of Economics.
  4. Fudenberg, Drew & Levine, David, 1998. "Learning in games," European Economic Review, Elsevier, vol. 42(3-5), pages 631-639, May.
  5. Bhaskar, V, 1998. "Informational Constraints and the Overlapping Generations Model: Folk and Anti-Folk Theorems," Review of Economic Studies, Wiley Blackwell, vol. 65(1), pages 135-49, January.
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  24. Govindan, Srihari & Wilson, Robert, 2001. "Direct Proofs of Generic Finiteness of Nash Equilibrium Outcomes," Econometrica, Econometric Society, vol. 69(3), pages 765-69, May.
  25. Doraszelski, Ulrich & Pakes, Ariel, 2007. "A Framework for Applied Dynamic Analysis in IO," Handbook of Industrial Organization, Elsevier.
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Citations

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Cited by:
  1. V. Bhaskar & George J. Mailath & Stephen Morris, 2012. "A Foundation for Markov Equilibria in Infinite Horizon Perfect Information Games," PIER Working Paper Archive 12-043, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
  2. Hannu Salonen & Hannu Vartiainen, 2011. "On the Existence of Markov Perfect Equilibria in Perfect Information Games," Discussion Papers 68, Aboa Centre for Economics.
  3. John Duggan, 2012. "Noisy Stochastic Games," RCER Working Papers 570, University of Rochester - Center for Economic Research (RCER).
  4. V. Bhaskar & George J. Mailath & Stephen Morris, 2012. "A Foundation for Markov Equilibria with Finite Social Memory," PIER Working Paper Archive 12-003, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
  5. Wang, Hefei, 2012. "Costly information transmission in continuous time with implications for credit rating announcements," Journal of Economic Dynamics and Control, Elsevier, vol. 36(9), pages 1402-1413.
  6. Victor, Aguirregabiria, 2009. "A Method for Implementing Counterfactual Experiments in Models with Multiple Equilibria," MPRA Paper 17805, University Library of Munich, Germany.
  7. Breitmoser, Yves, 2012. "Cooperation, but no reciprocity: Individual strategies in the repeated Prisoner's Dilemma," MPRA Paper 41731, University Library of Munich, Germany.
  8. Fedor Iskhakov & John Rust & Bertel Schjerning, 2013. "The Dynamics of Bertrand Price Competition with Cost-Reducing Investments," Discussion Papers 13-05, University of Copenhagen. Department of Economics.
  9. Victor Aguirregabiria & Pedro Mira, 2013. "Identification of Games of Incomplete Information with Multiple Equilibria and Common Unobserved Heterogeneity," Working Papers tecipa-474, University of Toronto, Department of Economics.
  10. Escobar, Juan F., 2013. "Equilibrium analysis of dynamic models of imperfect competition," International Journal of Industrial Organization, Elsevier, vol. 31(1), pages 92-101.
  11. John Rust & Bertel Schjerning & Fedor Iskhakov, 2012. "A Dynamic Model of Leap-Frogging Investments and Bertrand Price Competition," 2012 Meeting Papers 370, Society for Economic Dynamics.
  12. John Duggan, 2011. "Noisy Stochastic Games," RCER Working Papers 562, University of Rochester - Center for Economic Research (RCER).
  13. Demian Pouzo & Ignacio Presno, 2012. "Sovereign default risk and uncertainty premia," Working Papers 12-11, Federal Reserve Bank of Boston.
  14. Doraszelski, Ulrich & Escobar, Juan F., 2012. "Restricted feedback in long term relationships," Journal of Economic Theory, Elsevier, vol. 147(1), pages 142-161.
  15. Ron Borkovsky & Ulrich Doraszelski & Yaroslav Kryukov, 2012. "A dynamic quality ladder model with entry and exit: Exploring the equilibrium correspondence using the homotopy method," Quantitative Marketing and Economics, Springer, vol. 10(2), pages 197-229, June.

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