S. Barberà and M. O. Jackson, On the Weights of Nations: Assigning Voting Weights in a Heterogeneous Union, Journal of Political Economy, vol.114, issue.2, pp.317-339, 2006.
DOI : 10.1086/501172

J. Barr and F. Passarelli, Who has the power in the EU?, Mathematical Social Sciences, vol.57, issue.3, pp.339-366, 2009.
DOI : 10.1016/j.mathsocsci.2008.12.007

C. Beisbart and L. Bovens, Welfarist evaluations of decision rules for boards of representatives, Social Choice and Welfare, vol.38, issue.2, pp.581-608, 2007.
DOI : 10.1007/s00355-007-0246-z

C. Beisbart and S. Hartmann, Welfarist evaluations of decision rules under interstate utility dependencies, Social Choice and Welfare, vol.146, issue.2, pp.315-344, 2010.
DOI : 10.1007/s00355-009-0399-z

J. Bentham, First Principle Preparatory to the Constitutional Code. reprinted in: The Works of Jeremy Bentham, Volume IX, Elibron Classics, Adamant Media Corporation, 1822.

M. A. Cichocki and K. , Institutional Design and Voting Power in the European Union, 2010.

A. Duff, Explanatory Statement Proposal for a modification of the Act concerning the election of the members of the European Parliament by direct universal suffrage of, European Parliament, Committee on Constitutional Affairs, 1976.

A. Duff, Draft Report on a proposal for a modification of the Act concerning the election of the members of the European Parliament by direct universal suffrage of, INI)) " European Parliament, Committee on Constitutional Affairs, 1976.

B. Dutta, Chapter 12 Inequality, poverty and welfare, Handbook of Social Choice and Welfare, vol.1, pp.597-633, 2002.
DOI : 10.1016/S1574-0110(02)80016-9

K. Engel, Sperner theory " Encyclopedia of Mathematics and its Applications, 1997.

M. R. Feix, D. Lepelley, V. Merlin, J. L. Rouet, and L. Vidu, Majority efficient representation of the citizens in a federal union, 2011.

D. Felsenthal and M. Machover, The Measurement of Voting Power, 1998.
DOI : 10.4337/9781840647761

D. Felsenthal and M. Machover, Minimizing the mean majority deficit: The second square-root rule, Mathematical Social Sciences, vol.37, issue.1, pp.25-37, 1999.
DOI : 10.1016/S0165-4896(98)00011-0

M. Fleurbaey, One stake one vote " mimeo, 2008.

A. Gelman, J. N. Katz, and J. Bafumi, Standard Voting Power Indexes Do Not Work: An Empirical Analysis, British Journal of Political Science, vol.34, issue.4, pp.657-674, 2004.
DOI : 10.1017/S0007123404000237

G. Grimmet, F. Pukelsheim, J. Laslier, . Victoriano-ramírez-gonzález, S. Wojciech et al., The allocation between the EU Member States of the seats in the European Parliament: The Cambridge Compromise " European Parliament Policy department, Constitutional affairs, 2011.

A. Lamassoure and A. Severin, European Parliament Resolution on " Proposal to amend the Treaty provisions concerning the composition of the European Parliament, 2007.

A. Laruelle and F. Valenciano, Assessing success and decisiveness in voting situations, Social Choice and Welfare, vol.24, issue.1, pp.171-197, 2005.
DOI : 10.1007/s00355-003-0298-7

URL : https://hal.archives-ouvertes.fr/halshs-00109417

A. Laruelle and F. Valenciano, Voting and Collective Decision- Making: Bargaining and Power, 2008.
DOI : 10.1017/CBO9780511493553

J. Laslier, Why not proportional?, Mathematical Social Sciences, vol.63, issue.2, 2012.
DOI : 10.1016/j.mathsocsci.2011.10.012

URL : https://hal.archives-ouvertes.fr/halshs-01321786

L. Breton, M. Michel, V. Montero, and . Zaporozhets, Voting power in the EU Council of Ministers and fair decision making, 2010.

N. Maaser and S. Napel, A note on the direct democracy deficit in two-tier voting, Mathematical Social Sciences, vol.63, issue.2, pp.forth- coming, 2011.
DOI : 10.1016/j.mathsocsci.2011.10.008

A. Macé and R. Treibich, Computing the optimal weights in a utilitarian model of apportionment, Mathematical Social Sciences, vol.63, issue.2, 2012.
DOI : 10.1016/j.mathsocsci.2011.10.007

J. Martínez-aroza and V. Ramírez-gonzález, Several methods for degressively proportional allotments. A case study, Mathematical and Computer Modelling, vol.48, issue.9-10, pp.1439-1445, 2008.
DOI : 10.1016/j.mcm.2008.05.026

G. Owen, Game Theory, 1995.

L. S. Penrose, The Elementary Statistics of Majority Voting, Journal of the Royal Statistical Society, vol.109, issue.1, pp.53-57, 1946.
DOI : 10.2307/2981392

F. Pukelsheim, Putting citizens first: Representation and power in the European Union Pages 235-253 in: Institutional Design and Voting Power in the European Union, 2010.

D. Rae, Decision-Rules and Individual Values in Constitutional Choice, American Political Science Review, vol.62, issue.01, pp.40-56, 1969.
DOI : 10.2307/1907651

. Ramírez-gonzález, A. Victoriano, M. L. Palomares, and . Márquez, Degressively proportional methods for the allotment of the European Parliament seats amongst the EU member states, Pages 205-220 in: Mathematics and Democracy ? Recent Advances in Voting Systems and Collective Choice, 2006.

S. Lomczy´nskilomczy´nski, W. Karol, and ?. Zyczkowski, Jagiellonian Compromise ? An alternative voting system for the Council of the European Union Pages 43-57 in: Institutional Design and Voting Power in the European Union, 2010.

H. Theil, Technical Note???The Allocation of Power that Minimizes Tension, Operations Research, vol.19, issue.4, pp.977-982, 1971.
DOI : 10.1287/opre.19.4.977

H. Theil and L. Schrage, The apportionment problem and the European Parliament, European Economic Review, vol.9, issue.3, pp.247-263, 1977.
DOI : 10.1016/S0014-2921(77)80028-7

A. Trannoy, Mesure des inégalités et dominance sociale, Mathématiques et Sciences Humaines, vol.192, pp.29-40, 2010.

E. Treaty-on and . Union, Articles 1-19, Official Journal of the European Union C, vol.83, pp.13-27, 2010.