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|
|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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- Sen, Amartya Kumar, 1970. "The Impossibility of a Paretian Liberal," Scholarly Articles 3612779, Harvard University Department of Economics.
- Sen, Amartya, 1970. "The Impossibility of a Paretian Liberal," Journal of Political Economy, University of Chicago Press, vol. 78(1), pages 152-157, Jan.-Feb..
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- Dutta, Bhaskar, 1984. "Effectivity Functions and Acceptable Game Forms," Econometrica, Econometric Society, vol. 52(5), pages 1151-1166, September.
- 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.
- 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. Full references (including those not matched with items on IDEAS)
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