A crash course in implementation theory by Jackson M.O.

By Jackson M.O.

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Srivastava 1991, Nash Implementation Using Undominated Strategies," Econometrica, Vol. 59, pp. 479 502. , and S. Srivastava 1993, Bayesian Implementation, Harwood Academic Publishers. Peleg, B. 1996a, A Continuous Double Implementation of the Constrained Walrasian Equilibrium," Economic Design, Vol. 2, pp. 89 97. 56 Perry, M. and P. Reny 1999, A General Solution to King Solomon's Dilemma," Games and Economic Behavior, Vol. 26, pp. 279 285. Peleg, B. 1996b, Double Implementation of the Lindahl Equilibrium by a Continuous Mechanism," Economic Design, Vol.

In particular, varying assumptions about how individuals update beliefs o the equilibrium path results in alternative solution concepts to be used in implementation. The two incomplete information extensive form notions of implementation that have been analyzed are perfect Bayesian implementation Brusco 1995, 1997, 1998 and implementation via sequential equilibrium Baliga 1999 and Bergin and Sen 1998. The interesting new aspect that arises in these settings is that preference reversals can arise not only because of di erences in the primitive underlying preferences, but also from the way in which information is revealed in equilibrium through the extensive form.

1987, A Simple Proof of Maskin's Theorem on Nash Implementation," Social Choice and Welfare, Vol. 4, pp. 39 42. Rubinstein, A. and A. Wolinsky 1992, Renegotiation-Proof Implementation and Time Preferences," American Economic Review, Vol. , pp. Saglam, I. 1997, A Note on Jackson's Theorems in Bayesian Implementation," mimeo: Bilkent University. Saijo, T. 1987, On Constant Maskin-Monotonic Social Choice Functions," Journal of Economic Theory, Vol. 42, pp. 382 386. Saijo, T. 1988, Strategy Space Reduction in Maskin's Theorem: Su cient Conditions for Nash Implementation," Econometrica, Vol.

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