On two basic properties of equilibria of voting with exit

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On two basic properties of equilibria of voting with exit

Author Info

Dolors Berga () (Universitat de Girona)
Gustavo Bergantiños () (Universidade de Vigo)
Jordi Massó () (Universitat Autònoma de Barcelona)
Alejandro Neme () (Universidad Nacional de san Luis and CONICET)

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Abstract

We consider the problem of a society whose members must choose from a finite set of alternatives. After knowing the chosen alternative, members may reconsider their membership. Thus, they must take into account, when voting, the effect of their votes not only on the chosen alternative but also on the final composition of the society. We show that, under plausible restrictions on preferences, equilibria of this two-stage game satisfy stability and voter's sovereignty.

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Publisher Info
Article provided by Economics Bulletin in its journal Economics Bulletin.

Volume (Year): 4 (2008)
Issue (Month): 21 ()
Pages: 1-9
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Handle: RePEc:ebl:ecbull:v:4:y:2008:i:21:p:1-9

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Find related papers by JEL classification:
D7 - Microeconomics - - Analysis of Collective Decision-Making

References listed on IDEAS
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D. Berga & G. Bergantiños & J. Massó & A. Neme, 2006. "On Exiting After Voting," International Journal of Game Theory, Springer, vol. 34(1), pages 33-54, April. [Downloadable!] (restricted)
Other versions:
- Berga, Dolors & Bergantiños, Gustavo & Massó, Jordi & Neme, Alejandro, 2003. "On Exiting after Voting," Working Papers of the Department of Economics, University of Girona 6, Department of Economics, University of Girona. [Downloadable!]
- Dolors Berga & Gustavo Bergantiños & Jordi Massó & Alejandro Neme, 2003. "On exiting after voting," Estudios de Economia, University of Chile, Department of Economics, vol. 30(2 Year 20), pages 261-288, December. [Downloadable!]
Barbera, S. & Maschler, M. & Shalev, J., 2001. "Voting for Voters: A Model of Electoral Evolution," Games and Economic Behavior, Elsevier, vol. 37(1), pages 40-78, October. [Downloadable!] (restricted)
Other versions:
- Salvador Barberà & Michael Maschler & Jonathan Shalev, 1998. "Voting for Voters: A Model of Electoral Evolution," Game Theory and Information 9804001, EconWPA. [Downloadable!]
- BARBERA, Salvadore & MASCHLER, Michael & SHALEV, Jonathan, 1998. "Voting for voters: a model of electoral evolution," CORE Discussion Papers 1998022, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE). [Downloadable!]
Berga, Dolors & Bergantinos, Gustavo & Masso, Jordi & Neme, Alejandro, 2007. "An undominated Nash equilibrium for voting by committees with exit," Mathematical Social Sciences, Elsevier, vol. 54(2), pages 152-175, September. [Downloadable!] (restricted)
Barbera, Salvador & Perea, Andres, 2002. "Supporting others and the evolution of influence," Journal of Economic Dynamics and Control, Elsevier, vol. 26(12), pages 2051-2092, October. [Downloadable!] (restricted)
Jonathan Shalev & Daniel Granot & Michael Maschler, 2003. "Voting for voters: the unanimity case," International Journal of Game Theory, Springer, vol. 31(2), pages 155-202. [Downloadable!] (restricted)
Barbera, Salvador & Sonnenschein, Hugo & Zhou, Lin, 1991. "Voting by Committees," Econometrica, Econometric Society, vol. 59(3), pages 595-609, May. [Downloadable!] (restricted)
Other versions:
- Salvador Barbera & Hugo Sonnenschein & Lin Zhou, 1990. "Voting by Committees," Cowles Foundation Discussion Papers 941, Cowles Foundation, Yale University. [Downloadable!]
Dolors Berga & Gustavo Bergantiños & Jordi Massó & Alejandro Neme, 2004. "Stability and voting by committees with exit," Social Choice and Welfare, Springer, vol. 23(2), pages 229-247, October. [Downloadable!] (restricted)

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