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L.S. Penrose's limit theorem: proof of some special cases

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  • Lindner, Ines
  • Machover, Moshe

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Bibliographic Info

Article provided by Elsevier in its journal Mathematical Social Sciences.

Volume (Year): 47 (2004)
Issue (Month): 1 (January)
Pages: 37-49

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Handle: RePEc:eee:matsoc:v:47:y:2004:i:1:p:37-49

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Web page: http://www.elsevier.com/locate/inca/505565

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Cited by:
  1. Pao-Li Chang & Vincent CH Chua & Moshe Machover, 2004. "LS Penrose’s limit theorem: Tests by simulation," Working Papers 26-2004, Singapore Management University, School of Economics.
  2. M.R. Feix & D. Lepelley & V. Merlin & J.L. Rouet, 2006. "On the voting power of an alliance and the subsequent power of its members," Economics Working Paper Archive (University of Rennes 1 & University of Caen) 200605, Center for Research in Economics and Management (CREM), University of Rennes 1, University of Caen and CNRS.
  3. Sascha Kurz & Nicola Maaser & Stefan Napel & Matthias Weber, 2014. "Mostly Sunny: A Forecast of Tomorrow's Power Index Research," Tinbergen Institute Discussion Papers 14-058/I, Tinbergen Institute.
  4. Le Breton, Michel & Lepelley, Dominique, 2012. "Une Analyse de la Loi Electorale du 29 Juin 1820," TSE Working Papers 12-312, Toulouse School of Economics (TSE).
  5. Nicolas Houy & William S. Zwicker, 2013. "The geometry of voting power : weighted voting and hyper-­ellipsoids," Working Papers halshs-00772953, HAL.
  6. Jean-François Laslier, 2011. "Why not proportional?," Working Papers hal-00625308, HAL.
  7. Claus Beisbart & Luc Bovens, 2007. "Welfarist evaluations of decision rules for boards of representatives," Social Choice and Welfare, Springer, vol. 29(4), pages 581-608, December.
  8. Houy, Nicolas & Zwicker, William S., 2014. "The geometry of voting power: Weighted voting and hyper-ellipsoids," Games and Economic Behavior, Elsevier, vol. 84(C), pages 7-16.
  9. Dennis Leech, 2013. "Power indices in large voting bodies," Public Choice, Springer, vol. 155(1), pages 61-79, April.
  10. Lindner, Ines & Owen, Guillermo, 2007. "Cases where the Penrose limit theorem does not hold," Mathematical Social Sciences, Elsevier, vol. 53(3), pages 232-238, May.
  11. Ines Lindner, 2012. "Annick Laruelle and Federico Valenciano: Voting and collective decision-making," Social Choice and Welfare, Springer, vol. 38(1), pages 161-179, January.
  12. Sascha Kurz & Stefan Napel, 2012. "Heuristic and exact solutions to the inverse power index problem for small voting bodies," Jena Economic Research Papers 2012-045, Friedrich-Schiller-University Jena, Max-Planck-Institute of Economics.
  13. Ines Lindner, 2008. "A Special Case of Penrose’s Limit Theorem When Abstention is Allowed," Theory and Decision, Springer, vol. 64(4), pages 495-518, June.
  14. Dan Felsenthal & Moshé Machover, 2005. "Voting power measurement: a story of misreinvention," Social Choice and Welfare, Springer, vol. 25(2), pages 485-506, December.
  15. LINDNER, Ines, 2005. "Voting games with abstention : A probabilistic characterization of power and a special case of Penrose’s Limit Theorem," CORE Discussion Papers 2005078, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  16. Bernard Grofman & Scott Feld, 2005. "Thinking About the Political Impacts of the Electoral College," Public Choice, Springer, vol. 123(1), pages 1-18, April.

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