On the continuity of representations of effectivity functions
AbstractAn effectivity function assigns to each coalition of individuals in a society a family of subsets of alternatives such that the coalition can force the outcome of societyâs choice to be a member of each of the subsets separately. A representation of an effectivity function is a game form with the same power structure as that speci?ed by the effectivity function. In the present paper we investigate the continuity properties of the outcome functions of such representation. It is shown that while it is not in general possible to ?nd continuous representations, there are important subfamilies of effectivity functions for which continuous representations exist. Moreover, it is found that in the study of continuous representations one may practically restrict attention to effectivity functions on the Cantor set. Here it is found that general effectivity functions have representations with lower or upper semicontinuous outcome function.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoArticle provided by Elsevier in its journal Journal of Mathematical Economics.
Volume (Year): 42 (2006)
Issue (Month): 7-8 (November)
Contact details of provider:
Web page: http://www.elsevier.com/locate/jmateco
Other versions of this item:
- Hans Keiding & Bezalel Peleg, 2003. "On the Continuity of Representations of Effectivity Functions," Discussion Paper Series dp324, The Center for the Study of Rationality, Hebrew University, Jerusalem.
- Hans Keiding & Bezalel Peleg, 2003. "On the Continuity of Representations of Effectivity Functions," Discussion Papers 03-30, University of Copenhagen. Department of Economics.
- C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
- D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
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.:
- Moulin, H. & Peleg, B., 1982.
"Cores of effectivity functions and implementation theory,"
Journal of Mathematical Economics,
Elsevier, vol. 10(1), pages 115-145, June.
- Moulin, Hervé & Peleg, B., 1982. "Cores of effectivity functions and implementation theory," Economics Papers from University Paris Dauphine 123456789/13220, Paris Dauphine University.
- Hans Keiding & Bezalel Peleg, 2002.
"Representation of effectivity functions in coalition proof Nash equilibrium: A complete characterization,"
Social Choice and Welfare,
Springer, vol. 19(2), pages 241-263.
- Hans Keiding & Bezalel Peleg, 1999. "Representation of Effectivity Functions in Coalition Proof Nash Equilibrium: A Complete Characterization," Discussion Papers 99-21, University of Copenhagen. Department of Economics.
- Bezalel Peleg, 1997. "Effectivity functions, game forms, games, and rights," Social Choice and Welfare, Springer, vol. 15(1), pages 67-80.
- 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.
- Hans Keiding & Bezalel Peleg, 1999. "Stable Voting Procedures for Committees in Economic Environments," Discussion Papers 99-20, University of Copenhagen. Department of Economics.
- 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.
- Holzman, Ron, 1986. "The capacity of a committee," Mathematical Social Sciences, Elsevier, vol. 12(2), pages 139-157, October.
- Amartya Sen, 1999. "The Possibility of Social Choice," American Economic Review, American Economic Association, vol. 89(3), pages 349-378, June.
- Holzman, Ron, 1986. "On strong representations of games by social choice functions," Journal of Mathematical Economics, Elsevier, vol. 15(1), pages 39-57, February.
- repec:hal:cesptp:hal-00666816 is not listed on IDEAS
- Agnieszka Rusinowska, 2013. "Bezalel Peleg and Hans Peters: Strategic social choice. Stable representations of constitutions," Social Choice and Welfare, Springer, vol. 40(2), pages 631-634, February.
If references are entirely missing, you can add them using this form.