Game Theory

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By Jackson M.O.

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382 386. Saijo, T. 1988, Strategy Space Reduction in Maskin's Theorem: Su cient Conditions for Nash Implementation," Econometrica, Vol. 56, pp. 693 700. , Y. Tatimatani, and T. Yamato 1996, Toward Natural Implementa- tion," International Economic Review, Vol. 37, pp. 949 980. Schmeidler, D. 1980, Walrasian Analysis via Strategic Outcome Functions," Econometrica, Vol. 48, pp. 1585 1593. Sefton, M. and A. Yavas 1996, Abreu-Matsushima Mechanisms: Experimental Evidence," Games and Economic Behavior, Vol.

Let us consider social choice functions for which F R = a; 0; : : :; 0 for every R 2 P . This is almost without loss of generality, since A0 is arbitrary and if one wishes to specify transfers that do not sum to 0, for instance specifying the sharing of the cost of a public good as a function of R, then this can be included in the speci cation of A0 and the ti's can be thought of as additional transfers. The only loss of generality 35 comes from condition 2 above, which implies that any transfers included in A0 must be bounded in size.

34, pp. 5 9. Nakamura, S. 1998, Impossibility of Nash Implementation in Two Person Economies," Economic Design, Vol. 3, pp. 159 166. Osana, H. 1997, Nash-Implementation of the weak Pareto Choice Rule for Indecomposable Environments," Review of Economic Design, Vol. 3, pp. 57 74. Palfrey, T. -J. La ont, Advances in Economic Theory, Cambridge University Press: Cambridge. Palfrey, T. " In R. Aumann and S. Hart, Handbook of Game Theory, Volume 3, . , and S. Srivastava 1986, Private Information in Large Economies," Journal of Economic Theory, Vol.

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