Social Choice and Welfare

, Volume 42, Issue 1, pp 17–30 | Cite as

Implementation of Jefferson-d’Hondt rule in the formation of a parliamentary committee

  • Joaquín Pérez
  • Omar De la Cruz
Original Paper


Same parliaments, to form a committee of size \(q\), use a voting process like the following: every parliamentary member votes for one out of a fixed set of candidates, and those \(q\) candidates receiving more votes are elected for the committee. Assuming total discipline of vote, this is a game form in which players are the parliamentary groups. We investigate, according to some natural hypotheses about preferences, the likely distribution of the members of this committee. The main results are: (a) when fractional votes are allowed, there is a complete agreement between the distribution among the groups of the elected candidates that are outcomes of a Nash equilibrium and the distribution that, according to the size of the groups, would compute the Jefferson-d’Hondt allocation rule, and (b) when fractional votes are not allowed, there is a near agreement for a majority of situations.


Nash Equilibrium Allocation Rule Game Form Vote Game Post Outcome 
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This research has been supported by the Research Project ECO2008-05895-C02-02, Ministerio de Ciencia e Innovación, Spain. The authors are indebted to José Luis Jimeno and also to a referee and an associate editor. Their very helpful comments and suggestions have led to a significant improvement in the paper.


  1. Balinski ML, Young HP (2001) Fair representation: meeting the ideal of one man, one vote, 2nd edn. Brookings Institution Press, WashingtonGoogle Scholar
  2. Baliga S, Sjöström T (2007) Mechanism design: recent developments. The new palgrave dictionary of, economicsGoogle Scholar
  3. Cox GW (1991) SNTV and d’Hondt are ‘equivalent’. Elect Stud 10(2):118–132CrossRefGoogle Scholar
  4. De la Cruz O, Dueñas D, Pérez J (2004) La elección de vicepresidentes y secretarios en la Mesa del Congreso: ¿Existe un modo adecuado de votar? Revista de las Cortes Generales 62:199–212Google Scholar
  5. Dhillon A, Lockwood B (2004) When are plurality rule voting games dominance-solvable. Games Econ Behav 46(1):55–75CrossRefGoogle Scholar
  6. Jackson MO (2000) A crash course in implementation theory. Soc Choice Welf 18:655–708CrossRefGoogle Scholar
  7. Sertel MR, Sanver R (2004) Strong equilibrium outcomes of voting games are the generalized Condorcet winners. Soc Choice Welf 22:331–347CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Departamento de EconomíaUniversidad de AlcaláAlcalá de Henares, MadridSpain

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