Consistent voting systems with a continuum of voters
AbstractVoting problems with a continuum of voters and finitely many alternatives are considered. The classical Arrow and Gibbard-Satterthwaite theorems are shown to persist in this model, not for single voters but for coalitions of positive size. The emphasis of the study is on strategic considerations, relaxing the nonmanipulability requirement: are there social choice functions such that for every profile of preferences there exists a strong Nash equilibrium resulting in the alternative assigned by the social choice function? Such social choice functions are called exactly and strongly consistent. The study offers an extension of the work of Peleg (1978a) and others. Specifically, a class of anonymous social choice functions with the required property is characterized through blocking coefficients of alternatives, and associated effectivity functions are studied. Finally, representation of effectivity functions by game forms having a strong Nash Equilibrium is studied.
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Bibliographic InfoPaper provided by The Center for the Study of Rationality, Hebrew University, Jerusalem in its series Discussion Paper Series with number dp308.
Length: 39 pages
Date of creation: Dec 2002
Date of revision:
Publication status: Published in Social Choice and Welfare, 2006, vol. 27, pp. 477-492.
Other versions of this item:
- B Pezaleleleg & Hans Peters, 2006. "Consistent Voting Systems with a Continuum of Voters," Social Choice and Welfare, Springer, vol. 27(3), pages 477-492, December.
- Bezalel Peleg & Hans Peters, 2006. "Consistent voting systems with a continuum of voters," Social Choice and Welfare, Springer, vol. 27(3), pages 493-493, December.
- Peters,Hans & Peleg,Bezalel, 2002. "Consistent Voting Systems with a Continuum of Voters," Research Memorandum 024, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
- D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
- D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General
This paper has been announced in the following NEP Reports:
- NEP-ALL-2003-05-15 (All new papers)
- NEP-CDM-2003-05-15 (Collective Decision-Making)
- NEP-POL-2003-05-15 (Positive Political Economics)
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.:
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- 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.
- Bezalel Peleg, 2013. "Consistent Voting Systems Revisited: Computation and Axiomatic Characterization," Discussion Paper Series dp649, The Center for the Study of Rationality, Hebrew University, Jerusalem.
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