Jackson M.O.'s A crash course in implementation theory PDF

By Jackson M.O.

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There are three cases to consider. I All individuals announce pairs of preferences. In this case, let J be the set of i such that mi2 = mi1+1. This is the set of i whose announcement about i+1 matched what i + 1 announced about him or herself. The outcome is then F m2 J . 42 II Some i announces mi = Ri; Ri+1  and all other j 6= i announce mj = a; b such that aRiw and bRi w with all j 6= i announcing the same a; b. Then gm = aN ,i if aRi b and gm = bN ,i otherwise. The de nition of separable environments is from Jackson, Palfrey, and Srivastava 1994.

66, pp. 23 38. Maskin, E. and J. 6639 56 Keywords: Matsushima, H. 1988, A New Approach to the Implementation Problem," Journal of Economic Theory, Vol. 45, pp. 128 144. Matsushima, H. 1993, Bayesian Monotonicity with Side Payments," Journal of Economic Theory, Vol. 59, pp. 107 121. McKelvey, R. 1989, Game Forms For Nash Implementation of General Social Choice Correspondences," Social Choice and Welfare, Vol. 6, pp. 139 156. 54 Miyagawa, E. 1997, Implementation of the Normalized Utilitarian Bargaining Solution," mimeo: University of Rochester.

Sefton, M. and A. Yavas 1996, Abreu-Matsushima Mechanisms: Experimental Evidence," Games and Economic Behavior, Vol. 16, pp. 280 302. Sen, A.

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