Consistent voting systems with a continuum of voters

Part of the Studies in Choice and Welfare book series (WELFARE)


In this chapter we extend the model of Chapters 9 and 10 to a classical voting system with still finitely many alternatives (candidates) but with very many voters. Such a system is representative of political elections on the local or national level. As an, in our view, best approximation we model voters as elements of a non-atomic measure space. In particular, this approach allows us to accommodate the fact that in such voting systems single voters have negligible influence on the final outcome, and to avoid potential combinatorial complexities of a model with a large but finite number of voters.


Induction Hypothesis Vote System Social Choice Function Strong Equilibrium Single Voter 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  1. 1.Institute of Mathematics and Center for the Study of RationalityThe Hebrew University of JerusalemJerusalemIsrael
  2. 2.Department of Quantitative EconomicsUniversity of MaastrichtMaastrichtThe Netherlands

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