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Belief Free Incomplete Information Games

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We consider the following belief free solution concepts for games with incomplete information: (i) incomplete information rationalizability, (ii) incomplete information correlated equilibrium and (iii) ex post equilibrium. We present epistemic foundations for these solution concepts and establish relationships between them. The properties of these solution concepts are further developed in supermodular games and potential games.

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File URL: http://cowles.yale.edu/sites/default/files/files/pub/d16/d1629.pdf
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Paper provided by Cowles Foundation for Research in Economics, Yale University in its series Cowles Foundation Discussion Papers with number 1629.

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Length: 27 pages
Date of creation: Sep 2007
Handle: RePEc:cwl:cwldpp:1629
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Web page: http://cowles.yale.edu/

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  1. d'Aspremont, Claude & Gerard-Varet, Louis-Andre, 1979. "Incentives and incomplete information," Journal of Public Economics, Elsevier, vol. 11(1), pages 25-45, February.
  2. Brandenburger, Adam & Dekel, Eddie, 1987. "Rationalizability and Correlated Equilibria," Econometrica, Econometric Society, vol. 55(6), pages 1391-1402, November.
  3. R. Aumann, 2010. "Correlated Equilibrium as an expression of Bayesian Rationality," Levine's Bibliography 513, UCLA Department of Economics.
  4. Jéhiel, Philippe & Moldovanu, Benny, 1999. "Efficient design with interdependent valuations," Papers 99-74, Sonderforschungsbreich 504.
  5. Dirk Bergemann & Juuso Valimaki, 2002. "Information Acquisition and Efficient Mechanism Design," Econometrica, Econometric Society, vol. 70(3), pages 1007-1033, May.
  6. Ehud Kalai, 2004. "Large Robust Games," Econometrica, Econometric Society, vol. 72(6), pages 1631-1665, November.
  7. Dirk Bergemann & Stephen Morris, 2005. "Robust Mechanism Design," NajEcon Working Paper Reviews 666156000000000593, www.najecon.org.
  8. Eddie Dekel & Drew Fudenberg & Stephen Morris, 2005. "Topologies on Types," Harvard Institute of Economic Research Working Papers 2093, Harvard - Institute of Economic Research.
  9. Holmstrom, Bengt & Myerson, Roger B, 1983. "Efficient and Durable Decision Rules with Incomplete Information," Econometrica, Econometric Society, vol. 51(6), pages 1799-1819, November.
  10. FORGES, Françoise, "undated". "Five legitimate definitions of correlated equilibrium in games with incomplete informations," CORE Discussion Papers RP 1071, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  11. Dirk Bergemann & Stephen Morris, 2007. "Strategic Distinguishability with an Application to Robust Virtual Implementation," Cowles Foundation Discussion Papers 1609, Cowles Foundation for Research in Economics, Yale University.
  12. Ely, Jeffrey C. & Peski, Marcin, 2006. "Hierarchies of belief and interim rationalizability," Theoretical Economics, Econometric Society, vol. 1(1), pages 19-65, March.
  13. Battigalli, P., 1999. "Rationalizability in Incomplete Information Games," Economics Working Papers eco99/17, European University Institute.
  14. Morris, Stephen Morris & Takashi Ui, 2002. "Best Response Equivalence," Cowles Foundation Discussion Papers 1377, Cowles Foundation for Research in Economics, Yale University.
  15. Monderer, Dov & Shapley, Lloyd S., 1996. "Potential Games," Games and Economic Behavior, Elsevier, vol. 14(1), pages 124-143, May.
  16. Cotter, Kevin D., 1991. "Correlated equilibrium in games with type-dependent strategies," Journal of Economic Theory, Elsevier, vol. 54(1), pages 48-68, June.
  17. Börgers Tilman M & McQuade Timothy, 2007. "Information-Invariant Equilibria of Extensive Games," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 7(1), pages 1-31, December.
  18. van Heumen, R. & Peleg, B. & Tijs, S.H. & Borm, P.E.M., 1996. "Axiomatic characterizations of solutions for Bayesian games," Other publications TiSEM 6cc729cb-f5e8-496a-a365-3, Tilburg University, School of Economics and Management.
  19. Battigalli Pierpaolo & Siniscalchi Marciano, 2003. "Rationalization and Incomplete Information," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 3(1), pages 1-46, June.
  20. Abraham Neyman, 1997. "Correlated Equilibrium and Potential Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 26(2), pages 223-227.
  21. Cremer, Jacques & McLean, Richard P, 1985. "Optimal Selling Strategies under Uncertainty for a Discriminating Monopolist When Demands Are Interdependent," Econometrica, Econometric Society, vol. 53(2), pages 345-361, March.
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