Asymptotic Values of Vector Measure Games
The asymptotic value, introduced by Kannai in 1966, is an asymptotic approach to the notion of the Shapley value for games with infinitely many players. A vector measure game is a game v where the worth v(S) of a coalition S is a function f of ?(S) where ? is a vector measure. Special classes of vector measure games are the weighted majority games and the two-house weighted majority games where a two-house weighted majority game is a game in which a coalition is winning if and only if it is winning in two given weighted majority games. All weighted majority games have an asymptotic value. However, not all two-house weighted majority games have an asymptotic value. In this paper we prove that the existence of infinitely many atoms with sufficient variety suffice for the existence of the asymptotic value in a general class of nonsmooth vector measure games that includes in particular two-house weighted majority games.
|Date of creation:||Nov 2003|
|Publication status:||Forthcoming in Mathematics of Operations Research|
|Contact details of provider:|| Postal: Feldman Building - Givat Ram - 91904 Jerusalem|
Web page: http://www.ratio.huji.ac.il/
More information through EDIRC
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Aumann, R. J. & Kurz, M. & Neyman, A., 1987. "Power and public goods," Journal of Economic Theory, Elsevier, vol. 42(1), pages 108-127, June.
- Hart, Sergiu, 1977. "Asymptotic value of games with a continuum of players," Journal of Mathematical Economics, Elsevier, vol. 4(1), pages 57-80, March.
- Aumann, Robert J & Kurz, Mordecai, 1977. "Power and Taxes," Econometrica, Econometric Society, vol. 45(5), pages 1137-1161, July.
- A. W. Coats, 1996. "Introduction," History of Political Economy, Duke University Press, vol. 28(5), pages 3-11, Supplemen.
- Neyman, Abraham, 2002. "Values of games with infinitely many players," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 3, chapter 56, pages 2121-2167 Elsevier.
- Neyman, Abraham, 2010.
"Singular games in bv'NA,"
Journal of Mathematical Economics,
Elsevier, vol. 46(4), pages 384-387, July.
- Abraham Neyman, 2001. "Singular Games in bv'NA," Discussion Paper Series dp262, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
- R. J. Aumann & M. Kurz & A. Neyman, 1983. "Voting for Public Goods," Review of Economic Studies, Oxford University Press, vol. 50(4), pages 677-693. Full references (including those not matched with items on IDEAS)