Complete Characterization of Acceptable Game Forms by Effectivity Functions
Acceptable game forms were introduced in Hurwicz and Schmeidler (1978). Dutta (1984) considered effectivity functions of acceptable game forms. This paper unifies and extends the foregoing two papers. We obtain the following characterization of the effectivity functions of acceptable game forms: An effectivity function belongs to some acceptable game form if (i) it belongs to some Nash consistent game forms; and (ii) it satisfies an extra simple condition (our (3.1) or (4.2)). (Nash consistent game forms have already been characterized by their effectivity functions in Peleg et al. (2001).) As a corollary of our characterization we show that every acceptable game form violates minimal liberalism.
|Date of creation:||Jan 2002|
|Date of revision:|
|Publication status:||Published as "Representation of effectivity functions by acceptable game forms: A complete characterization" in Social Sciences, 2004, vol. 47, pp. 275-287|
|Contact details of provider:|| Postal: Feldman Building - Givat Ram - 91904 Jerusalem|
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- Dutta, Bhaskar, 1984. "Effectivity Functions and Acceptable Game Forms," Econometrica, Econometric Society, vol. 52(5), pages 1151-66, September.
- Hans Keiding & Bezalel Peleg, 1999.
"Stable Voting Procedures for Committees in Economic Environments,"
99-20, University of Copenhagen. Department of Economics.
- Keiding, Hans & Peleg, Bezalel, 2001. "Stable voting procedures for committees in economic environments," Journal of Mathematical Economics, Elsevier, vol. 36(2), pages 117-140, November.
- Sen, Amartya, 1970. "The Impossibility of a Paretian Liberal," Journal of Political Economy, University of Chicago Press, vol. 78(1), pages 152-57, Jan.-Feb..
- Deb, Rajat & Pattanaik, Prasanta K. & Razzolini, Laura, 1997. "Game Forms, Rights, and the Efficiency of Social Outcomes," Journal of Economic Theory, Elsevier, vol. 72(1), pages 74-95, January.
- Moulin, H. & Peleg, B., 1982. "Cores of effectivity functions and implementation theory," Journal of Mathematical Economics, Elsevier, vol. 10(1), pages 115-145, June.
- Peleg, Bezalel & Peters, Hans & Storcken, Ton, 2002. "Nash consistent representation of constitutions: a reaction to the Gibbard paradox," Mathematical Social Sciences, Elsevier, vol. 43(2), pages 267-287, March.
- Sen, Amartya Kumar, 1970. "The Impossibility of a Paretian Liberal," Scholarly Articles 3612779, Harvard University Department of Economics.
- Bezalel Peleg, 1997. "Effectivity functions, game forms, games, and rights," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 15(1), pages 67-80.
- Hurwicz, Leonid & Schmeidler, David, 1978. "Construction of Outcome Functions Guaranteeing Existence and Pareto Optimality of Nash Equilibria," Econometrica, Econometric Society, vol. 46(6), pages 1447-74, November.
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