S. Lefranc and T. Pistolesi, for similar applications to French data and Goux and Maurin (2002) for an application combining the Van de gaer and Roemer criteria. 89 For a general comparison of mobility measures with measures based on the idea of equal opportunities, see Van de gaer, Schluter and Van de gaer, 2001.

R. Arlegi and J. Nieto, Equality of opportunity: Cardinality-based criteria, Logic, Game Theory and Social Choice, 1999.

R. J. Arneson, Equality and equal opportunity for welfare, Philosophical Studies, vol.56, issue.1, pp.77-93, 1989.
DOI : 10.1007/BF00646210

R. J. Arneson, Liberalism, distributive subjectivism, and equal opportunity for welfare, Philosophy and Public Affairs, vol.19, pp.158-194, 1990.

R. J. Arneson, Luck Egalitarianism and Prioritarianism, Ethics, vol.110, issue.2, pp.339-349, 2000.
DOI : 10.1086/233272

K. J. Arrow, Social Choice and Individual Values, 1963.

K. J. Arrow, A Utilitarian Approach to the Concept of Equality in Public Expenditures, The Quarterly Journal of Economics, vol.85, issue.3, pp.409-415, 1971.
DOI : 10.2307/1885930

K. J. Arrow, Some Ordinalist-Utilitarian Notes on Rawls's Theory of Justice, The Journal of Philosophy, vol.70, issue.9, pp.245-263, 1973.
DOI : 10.2307/2025006

C. Aspremont and L. Gevers, Equity and the Informational Basis of Collective Choice, The Review of Economic Studies, vol.44, issue.2, pp.199-209, 1977.
DOI : 10.2307/2297061

C. Aspremont and L. Gevers, Social welfare functionals and interpersonal comparability, Handbook of Social Choice and Welfare, 2002.

R. J. Aumann and M. Maschler, Game theoretic analysis of a bankruptcy problem from the Talmud, Journal of Economic Theory, vol.36, issue.2, pp.195-213, 1985.
DOI : 10.1016/0022-0531(85)90102-4

S. Barbera, W. Bossert, and P. K. Pattanaik, Ranking Sets of Objects, Handbook of Utility Theory, 2004.
DOI : 10.1007/978-1-4020-7964-1_4

B. Barry, Liberty and Justice: Essays in Political Theory, 1991.

B. Porath, E. , I. Gilboa, and D. Schmeidler, On the Measurement of Inequality under Uncertainty, Journal of Economic Theory, vol.75, issue.1, pp.194-204, 1997.
DOI : 10.1006/jeth.1997.2280

URL : https://hal.archives-ouvertes.fr/hal-00481334

R. Boadway, M. Marchand, P. Pestieau, and M. Del, Optimal Redistribution with Heterogeneous Preferences for Leisure, Journal of Public Economic Theory, vol.4, issue.4, pp.475-498, 2002.
DOI : 10.1111/1097-3923.00106

W. Bossert, Redistribution mechanisms based on individual characteristics, Mathematical Social Sciences, vol.29, issue.1, pp.1-17, 1995.
DOI : 10.1016/0165-4896(94)00760-6

W. Bossert and M. Fleurbaey, Redistribution and compensation, Social Choice and Welfare, vol.13, issue.3, pp.343-355, 1996.
DOI : 10.1007/BF00179237

W. Bossert, M. Fleurbaey, and D. , Responsibility, talent, and compensation: A second-best analysis, Review of Economic Design, vol.4, issue.1, pp.35-56
DOI : 10.1007/s100580050025

W. Bossert, J. A. Weymark, S. Barbera, and P. J. , Utility theory in social choice, 2004.

J. Broome, Weighing Goods, 1991.

C. Calsamiglia, DECENTRALIZING EQUALITY OF OPPORTUNITY, International Economic Review, vol.87, issue.1, 2004.
DOI : 10.1111/j.1468-2354.2008.00530.x

A. W. Cappelen and B. Tungodden, Responsibility and Reward, FinanzArchiv, vol.59, issue.1, pp.120-140, 2002.
DOI : 10.1628/0015221032906117

URL : https://brage.bibsys.no/xmlui/bitstream/11250/162916/1/dp2001-25.pdf

A. W. Cappelen and B. Tungodden, Local autonomy and interregional equality. Fiscal equalization with balanced budgets, Economics, 2003.
DOI : 10.1007/s00355-006-0183-2

URL : http://hdl.handle.net/10419/63067

A. W. Cappelen and B. Tungodden, Reward and Responsibility: How Should We be Affected when Others Change their Effort?, Politics, Philosophy & Economics, vol.2, issue.2, pp.191-211, 2003.
DOI : 10.1177/1470594X03002002003

A. W. Cappelen and B. Tungodden, Rewarding effort, Economic Theory, vol.24, issue.4, 2004.
DOI : 10.1007/s00199-007-0320-x

A. W. Cappelen and B. Tungodden, A LIBERAL EGALITARIAN PARADOX, Economics and Philosophy, vol.22, issue.03, 2004.
DOI : 10.1017/S0266267106001039

P. Champsaur and G. Laroque, Fair allocations in large economies, Journal of Economic Theory, vol.25, issue.2, pp.269-282, 1981.
DOI : 10.1016/0022-0531(81)90006-5

V. Clément and D. Serra, ??galitarisme et responsabilit??, Revue d'??conomie politique, vol.111, issue.1, pp.173-93, 2001.
DOI : 10.3917/redp.111.0173

G. A. Cohen, On the Currency of Egalitarian Justice, Ethics, vol.99, issue.4, pp.906-944, 1989.
DOI : 10.1086/293126

T. E. Daniel, A revised concept of distributional equity, Journal of Economic Theory, vol.11, issue.1, pp.94-109, 1975.
DOI : 10.1016/0022-0531(75)90041-1

R. Deschamps and L. Gevers, Separability, risk-bearing, and social welfare judgments Aggregation and Revelation of Preferences, 1979.

D. Diamantaras and W. Thomson, A refinement and extension of the no-envy concept, Economics Letters, vol.33, issue.3, pp.217-222, 1990.
DOI : 10.1016/0165-1765(90)90004-K

R. Dworkin, What is equality? Part 1: Equality of welfare, Philosophy & Public Affairs, vol.10, pp.185-246, 1981.

R. Dworkin, What is equality? Part 2: Equality of resources, Philosophy & Public Affairs, vol.10, pp.283-345, 1981.

R. Dworkin, Sovereign Virtue. The Theory and Practice of Equality, 2000.

R. Dworkin, Revisited, Ethics, vol.113, issue.1, pp.106-143, 2002.
DOI : 10.1086/341579

A. Feldman and A. Kirman, Fairness and envy, American Economic Review, vol.64, issue.6, pp.995-1005, 1974.

G. Fields, V. Dardononi, L. Sanchez, and J. E. Roemer, How demanding should equality of opportunity be, and how much have we achieved?, Mobility and Inequality: Frontiers of Research from Sociology and Economics, 2005.

M. Fleurbaey, On fair compensation, Theory and Decision, vol.12, issue.3, pp.277-307, 1994.
DOI : 10.1007/BF01079932

M. Fleurbaey, Equality and responsibility, European Economic Review, vol.39, issue.3-4, pp.683-689, 1995.
DOI : 10.1016/0014-2921(94)00075-B

M. Fleurbaey, Equal Opportunity or Equal Social Outcome?, Economics and Philosophy, vol.1, issue.01, pp.25-56, 1995.
DOI : 10.2307/1883182

M. Fleurbaey, The requisites of equal opportunity, Social choice, welfare, and ethics, 1995.

M. Fleurbaey, Three Solutions for the Compensation Problem, Journal of Economic Theory, vol.65, issue.2, pp.505-521, 1995.
DOI : 10.1006/jeth.1995.1018

M. Fleurbaey, Equality among Responsible Individuals, Freedom in economics. New perspectives in normative analysis, 1998.
DOI : 10.4324/9780203023679.ch15

M. Fleurbaey, Egalitarian Opportunities, Law and Philosophy, vol.20, issue.5, pp.499-530, 2001.
DOI : 10.2307/3505221

M. Fleurbaey, Equality of Resources Revisited, Ethics, vol.113, issue.1, pp.82-105, 2002.
DOI : 10.1086/341320

M. Fleurbaey and F. Maniquet, Fair allocation with unequal production skills: The No Envy approach to compensation, Mathematical Social Sciences, vol.32, issue.1, pp.71-93, 1996.
DOI : 10.1016/0165-4896(96)00811-6

M. Fleurbaey and F. Maniquet, Utilitarianism versus Fairness in Welfare Economics, Justice, Political Liberalism and Utilitarianism: Themes from Harsanyi and Rawls, 1996.
DOI : 10.1017/CBO9780511619595.012

M. Fleurbaey and F. Maniquet, Implementability and Horizontal Equity Imply No-Envy, Econometrica, vol.65, issue.5, pp.1215-1219, 1997.
DOI : 10.2307/2171885

M. Fleurbaey and F. Maniquet, Optimal income taxation: An ordinal approach, CORE D.P, p.9865, 1998.

M. Fleurbaey and F. Maniquet, Cooperative production with unequal skills: The solidarity approach to compensation, Social Choice and Welfare, vol.16, issue.4, pp.569-583, 1999.
DOI : 10.1007/s003550050161

M. Fleurbaey and F. Maniquet, Help the low-skilled or let the hard-working thrive? A study of fairness in optimal income taxation, Journal of Public Economic Theory, 2001.

M. Fleurbaey and F. Maniquet, Fair Income Tax, Review of Economic Studies, vol.73, issue.1, 2002.
DOI : 10.1111/j.1467-937X.2006.00369.x

URL : https://hal.archives-ouvertes.fr/hal-00246842

M. Fleurbaey and F. Maniquet, Fair social orderings when agents have unequal production skills, Social Choice and Welfare, vol.24, issue.1, pp.93-127, 2005.
DOI : 10.1007/s00355-003-0294-y

URL : https://hal.archives-ouvertes.fr/hal-00246989

M. Fleurbaey and A. Trannoy, The impossibility of a Paretian egalitarian, Social Choice and Welfare, vol.21, issue.2, pp.243-264, 2003.
DOI : 10.1007/s00355-003-0258-2

D. Foley, Resource allocation and the public sector, Yale Economic Essays, vol.7, pp.45-98, 1967.

T. Gajdos and E. Maurin, Unequal uncertainties and uncertain inequalities: an axiomatic approach, Journal of Economic Theory, vol.116, issue.1, pp.93-118, 2004.
DOI : 10.1016/j.jet.2003.07.008

URL : https://hal.archives-ouvertes.fr/halshs-00085940

F. Gaspart, A Contribution to the Theory of Distributive Justice, 1996.

F. Gaspart, Objective measures of well-being and the cooperative production problem, Social Choice and Welfare, vol.15, issue.1, pp.95-112, 1998.
DOI : 10.1007/s003550050094

R. Gotoh and N. Yoshihara, A game form approach to theories of distributive justice. Formalizing needs principle, Logic, Game Theory and Social Choice, 1999.

R. Gotoh and N. Yoshihara, A class of fair distribution rules ?? la Rawls and Sen, Economic Theory, vol.22, issue.1, pp.63-88, 2003.
DOI : 10.1007/s00199-002-0280-0

R. Gotoh and N. Yoshihara, Normative foundation of the 'basic income' policy: Towards welfare economics of welfare states, Economic Review, vol.55, pp.230-244, 2004.

R. Gotoh, K. Suzumura, and N. Yoshihara, Extended social ordering functions for rationalizing fair allocation rules as game forms in the sense of Rawls and Sen, International Journal of Economic Theory, vol.45, issue.1, pp.21-41, 2005.
DOI : 10.1111/1468-5876.t01-1-00135

D. Goux and E. Maurin, On the evaluation of equality of opportunity for income: Axioms and evidence, 2002.

P. J. Hammond, Equity, Arrow's Conditions, and Rawls' Difference Principle, Econometrica, vol.44, issue.4, pp.793-804, 1976.
DOI : 10.2307/1913445

C. Herrero, Capabilities and utilities, Economic Design, vol.6, issue.1, pp.69-88, 1996.
DOI : 10.1007/BF02499125

C. Herrero, Equitable opportunities: an extension, Economics Letters, vol.55, issue.1, pp.91-95, 1997.
DOI : 10.1016/S0165-1765(97)00052-9

C. Herrero, I. Iturbe-ormaetxe, and J. Nieto, Ranking opportunity profiles on the basis of the common opportunities, Mathematical Social Sciences, vol.35, issue.3, pp.273-289, 1998.
DOI : 10.1016/S0165-4896(98)00003-1

M. Hild and A. Voorhoeve, EQUALITY OF OPPORTUNITY AND OPPORTUNITY DOMINANCE, Economics and Philosophy, vol.20, issue.1, pp.117-146, 2004.
DOI : 10.1017/S0266267104001282

I. Iturbe-ormaetxe, Redistribution and individual characteristics, Review of Economic Design, vol.3, issue.1, pp.45-55, 1997.
DOI : 10.1007/PL00013684

I. Iturbe-ormaetxe and J. Nieto, On fair allocations and monetary compensations, Economic Theory, vol.7, pp.125-138, 1996.
DOI : 10.1007/bf01212186

S. C. Kolm, The Optimal Production of Social Justice, 1968.
DOI : 10.1007/978-1-349-15294-0_7

S. C. Kolm, Justice et équité, Paris: Ed. du CNRS. Rep. and transl. as Justice and Equity, 1972.

S. C. Kolm, Equal liberty, mimeo Conseil Général des Ponts et Chaussées, 1993.

S. C. Kolm, The theory of justice, Social Choice and Welfare, vol.13, issue.2, pp.151-182, 1996.
DOI : 10.1007/BF00183349

S. C. Kolm, Modern Theories of Justice, 1996.

S. C. Kolm, Chance and justice: Social policies and the Harsanyi???Vickrey???Rawls problem, European Economic Review, vol.42, issue.8, pp.1393-1416, 1998.
DOI : 10.1016/S0014-2921(97)00104-9

S. C. Kolm, To each according to her work? Just entitlement from action: Desert, merit, responsibility, and equal opportunities. A review of John Roemer's Equality of Opportunity, 2001.

S. C. Kolm, Liberty and distribution: Macrojustice from social freedom, Social Choice and Welfare, vol.22, issue.1, pp.113-146, 2004.
DOI : 10.1007/s00355-003-0279-x

S. C. Kolm, Macrojustice. The Political Economy of Fairness, 2004.
DOI : 10.1017/cbo9780511510939

L. Kranich, Equal division, efficiency, and the sovereign supply of labor, American Economic Review, vol.84, issue.1, pp.178-189, 1994.

L. Kranich, Equitable Opportunities: An Axiomatic Approach, Journal of Economic Theory, vol.71, issue.1, pp.131-147, 1996.
DOI : 10.1006/jeth.1996.0112

L. Kranich, Equitable opportunities in economic environments, Social Choice and Welfare, vol.14, issue.1, pp.57-64, 1997.
DOI : 10.1007/s003550050051

L. Kranich, Equalizing opportunities through public education when innate abilities are unobservable, pp.97-114, 1997.

O. Lange, On the economic theory of socialism, 1936.

A. Lefranc, N. Pistolesi, and A. Trannoy, An equalization of opportunities for income acquisition in France?, 2003.

H. G. Llavador and J. E. Roemer, An equal-opportunity approach to the allocation of international aid, Journal of Development Economics, vol.64, issue.1, pp.147-171, 2001.
DOI : 10.1016/S0304-3878(00)00128-0

F. Maniquet, An equal right solution to the compensation???responsibility dilemma, Mathematical Social Sciences, vol.35, issue.2, pp.185-202, 1998.
DOI : 10.1016/S0165-4896(97)00041-3

F. Maniquet, On the equivalence between welfarism and equality of opportunity, Social Choice and Welfare, vol.23, issue.1, pp.127-148, 2004.
DOI : 10.1007/s00355-003-0244-8

M. Mariotti, Opportunities, chances in life and inequality, 2003.

M. Martinez and . Paris, Une contribution à la mesure de la mobilité intergénérationnelle, 2004.

E. Maskin, Nash Equilibrium and Welfare Optimality, Review of Economic Studies, vol.66, issue.1, pp.23-38, 1977.
DOI : 10.1111/1467-937X.00076

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.122.2734

J. Mirrlees, An Exploration in the Theory of Optimum Income Taxation, The Review of Economic Studies, vol.38, issue.2, pp.175-208, 1971.
DOI : 10.2307/2296779

J. Mirrlees, Notes on Welfare Economics, Information, and Uncertainty, Essays on Economic Behaviour under Uncertainty, 1974.
DOI : 10.1093/acprof:oso/9780198295211.003.0003

P. Mongin and C. , Utility Theory and Ethics, Handbook of Utility Theory, 1998.

H. Moulin, Joint Ownership of a Convex Technology: Comparison of Three Solutions, The Review of Economic Studies, vol.57, issue.3, pp.439-452, 1990.
DOI : 10.2307/2298023

H. Moulin, Welfare bounds in the fair division problem, Journal of Economic Theory, vol.54, issue.2, pp.321-337, 1991.
DOI : 10.1016/0022-0531(91)90125-N

H. Moulin, La présence d'envie: comment s'en accommoder?, Recherches Economiques de Louvain, vol.60, pp.63-72, 1994.

H. Moulin, Axiomatic cost and surplus sharing, Handbook of Social Choice and Welfare, 2002.
DOI : 10.1016/s1574-0110(02)80010-8

H. Moulin and J. E. Roemer, Public Ownership of the External World and Private Ownership of Self, Journal of Political Economy, vol.97, issue.2, pp.347-367, 1989.
DOI : 10.1086/261606

H. Moulin and S. Shenker, Average Cost Pricing versus Serial Cost Sharing: An Axiomatic Comparison, Journal of Economic Theory, vol.64, issue.1, pp.178-201, 1994.
DOI : 10.1006/jeth.1994.1061

H. Moulin and Y. Sprumont, Responsibility and cross-subsidization in cost sharing, forth. in Games and Economic Behavior, 2002.
DOI : 10.1016/j.geb.2005.03.006

R. Nagahisa, A local independence condition for characterization of Walrasian allocations rule, Journal of Economic Theory, vol.54, issue.1, pp.106-123, 1991.
DOI : 10.1016/0022-0531(91)90108-G

E. Ok, On Opportunity Inequality Measurement, Journal of Economic Theory, vol.77, issue.2, pp.300-329, 1997.
DOI : 10.1006/jeth.1997.2336

E. Ok and L. Kranich, The measurement of opportunity inequality: a cardinality-based approach, Social Choice and Welfare, vol.15, issue.2, pp.263-287, 1998.
DOI : 10.1007/s003550050104

O. Neill and B. , A problem of rights arbitration from the Talmud, Mathematical Social Sciences, vol.2, issue.4, pp.345-371, 1982.
DOI : 10.1016/0165-4896(82)90029-4

O. Neill, D. , O. Sweetman, and D. Van-de-gaer, Equality of opportunity and Kernel density estimation: An application to intergenerational mobility, 2000.

E. Ooghe and L. Lauwers, Non-dictatorial extensive social choice, Economic Theory, vol.25, issue.3, 2003.
DOI : 10.1007/s00199-003-0452-6

E. Ooghe, E. Schokkaert, and D. Van-de-gaer, Equality of Opportunity versus Equality of Opportunity Sets, Social Choice and Welfare, vol.68, issue.2, 2003.
DOI : 10.1007/s00355-006-0165-4

M. Otsuki, Choice of compensation policy for disabilities, 1996.

E. Pazner and D. Schmeidler, A Difficulty in the Concept of Fairness, The Review of Economic Studies, vol.41, issue.3, pp.441-443, 1974.
DOI : 10.2307/2296762

E. Pazner and D. Schmeidler, Egalitarian Equivalent Allocations: A New Concept of Economic Equity, The Quarterly Journal of Economics, vol.92, issue.4, pp.671-687, 1978.
DOI : 10.2307/1883182

E. Pazner and D. Schmeidler, DECENTRALIZATION AND INCOME DISTRIBUTION IN SOCIALIST ECONOMIES, Economic Inquiry, vol.41, issue.2, pp.257-264, 1978.
DOI : 10.1111/j.1465-7295.1978.tb00286.x

V. Peragine, The Distribution and Redistribution of Opportunity, Journal of Economic Surveys, vol.13, issue.1, pp.37-69, 1999.
DOI : 10.1111/1467-6419.00074

V. Peragine, Opportunity egalitarianism and income inequality, Mathematical Social Sciences, vol.44, issue.1, pp.45-64, 2002.
DOI : 10.1016/S0165-4896(02)00006-9

V. Peragine, Measuring and implementing equality of opportunity for income, Social Choice and Welfare, vol.22, issue.1, pp.187-210, 2004.
DOI : 10.1007/s00355-003-0282-2

T. Piketty, Existence of fair allocations in economies with production, Journal of Public Economics, vol.55, issue.3, pp.391-405, 1994.
DOI : 10.1016/0047-2727(93)01406-Z

J. Rawls, A theory of justice, 1971.

J. Rawls, Social unity and primary goods, Utilitarianism and Beyond, 1982.
DOI : 10.1017/CBO9780511611964.010

J. E. Roemer, Equality of Talent, Economics and Philosophy, vol.6, issue.02, pp.151-187, 1985.
DOI : 10.2307/1914185

J. E. Roemer, A note on interpersonal comparability and the theory of fairness, #261, Dep. of Economics, 1985.

J. E. Roemer, Equality of Resources Implies Equality of Welfare, The Quarterly Journal of Economics, vol.101, issue.4, pp.751-784, 1986.
DOI : 10.2307/1884177

J. E. Roemer, A pragmatic theory of responsibility for the egalitarian planner, Philosophy & Public Affairs, vol.22, pp.146-166, 1993.
DOI : 10.1017/CBO9780511528293.011

J. E. Roemer, Equality of Opportunity, 1998.
URL : https://hal.archives-ouvertes.fr/hal-01446191

J. E. Roemer, Egalitarianism Against the Veil of Ignorance, Journal of Philosophy, vol.99, issue.4, pp.167-184, 2002.
DOI : 10.2307/3655614

J. E. Roemer, Equality of opportunity: A progress report, Social Choice and Welfare, vol.19, issue.2, pp.455-471, 2002.
DOI : 10.1007/s003550100123

J. E. Roemer, Equal opportunity and intergenerational mobility: going beyond intergenerational income transition matrices, Generational income mobility in North America and Europe, 2004.
DOI : 10.1017/CBO9780511492549.004

J. E. Roemer, To what extent do fiscal regimes equalize opportunities for income acquisition among citizens?, Journal of Public Economics, vol.87, issue.3-4, pp.539-565, 2003.
DOI : 10.1016/S0047-2727(01)00145-1

J. E. Roemer and . Silvestre, On public ownership, #307, Dep. of Economics, 1989.
DOI : 10.1017/CBO9780511528293.018

C. Schluter and D. Van-de-gaer, Mobility as distributional difference, Bristol, 2002.

E. Schokkaert and K. Devooght, The empirical acceptance of compensation axioms, Freedom in economics. New perspectives in normative analysis, 1998.

E. Schokkaert and K. Devooght, Responsibility-sensitive fair compensation in different cultures, Social Choice and Welfare, vol.21, issue.2, pp.207-242, 2003.
DOI : 10.1007/s00355-003-0257-3

E. Schokkaert, G. Dhaene, and C. Van-de-voorde, Risk adjustment and the trade-off between efficiency and risk selection: an application of the theory of fair compensation, Health Economics, vol.7, issue.5, pp.465-480, 1998.
DOI : 10.1002/(SICI)1099-1050(199808)7:5<465::AID-HEC365>3.0.CO;2-9

E. Schokkaert and D. Van-de-gaer, Equality of opportunity and intergenerational transmission processes, 1994.

E. Schokkaert, D. Van-de-gaer, F. Vandenbroucke, and R. Luttens, Responsibility sensitive egalitarianism and optimal linear income taxation, Mathematical Social Sciences, vol.48, issue.2, pp.151-182, 2004.
DOI : 10.1016/j.mathsocsci.2004.01.002

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.198.8814

E. Schokkaert and C. Van-de-voorde, Risk selection and the specification of the conventional risk adjustment formula, Journal of Health Economics, vol.23, issue.6, 2004.
DOI : 10.1016/S0167-6296(03)00040-7

A. K. Sen, Commodities and Capabilities, 1985.

Y. Sprumont, Balanced egalitarian redistribution of income, Mathematical Social Sciences, vol.33, issue.3, pp.185-202, 1997.
DOI : 10.1016/S0165-4896(96)00835-9

H. Steinhaus, The problem of fair division, Econometrica, vol.16, pp.101-104, 1948.

K. Suzumura, On pareto-efficiency and the no-envy concept of equity, Journal of Economic Theory, vol.25, issue.3, pp.367-379, 1981.
DOI : 10.1016/0022-0531(81)90037-5

K. Suzumura, On the Possibility of "Fair" Collective Choice Rule, International Economic Review, vol.22, issue.2, pp.351-364, 1981.
DOI : 10.2307/2526281

K. Suzumura, Rational Choice, Collective Decisions, and Social Welfare, 1983.

K. Suzumura and N. Yoshihara, Responsibility and compensation: A new paradigm in Welfare Economics, Economic Review, vol.51, issue.2, pp.162-184, 2000.

L. G. Svensson, Large Indivisibles: An Analysis with Respect to Price Equilibrium and Fairness, Econometrica, vol.51, issue.4, pp.939-954, 1983.
DOI : 10.2307/1912044

K. Tadenuma and K. Suzumura, Normative approaches to the problem of global warming: Responsibility, compensation and the Golden-Rule " , forth, Intergenerational Equity and Sustainability, IEA Conference Proceeding, 2005.

W. Thomson, Equity in exchange economies, Journal of Economic Theory, vol.29, issue.2, pp.217-244, 1983.
DOI : 10.1016/0022-0531(83)90046-7

W. Thomson, A study of choice correspondences in economies with a variable number of agents, Journal of Economic Theory, vol.46, issue.2, pp.237-254, 1988.
DOI : 10.1016/0022-0531(88)90130-5

W. Thomson, Notions of equal, or equivalent, opportunities, Social Choice and Welfare, vol.11, issue.2, pp.137-156, 1994.
DOI : 10.1007/BF00179210

B. Tungodden, Responsibility and redistribution: The case of first best taxation, Social Choice and Welfare, vol.24, issue.1, pp.33-44, 2005.
DOI : 10.1007/s00355-003-0267-1

P. Vallentyne, Brute Luck, Option Luck, and Equalityof Initial Opportunities, Ethics, vol.112, issue.3, pp.529-587, 2002.
DOI : 10.1086/339275

D. Van-de-gaer, Equality of Opportunity and Investment in Human Capital, 1993.

D. Van-de-gaer, M. Martinez, and E. Schokkaert, Three Meanings of Intergenerational Mobility, Economica, vol.68, issue.272, pp.519-538, 2001.
DOI : 10.1111/1468-0335.00260

F. Vandenbroucke, Social Justice and Individual Ethics in an Open Society. Equality, responsibility, and incentives van der Veen R Basic income versus wage subsidies: Competing instruments in an optimal tax model with a maximin objective Equal endowments as undominated diversity, Economics and Philosophy Recherches Economiques de Louvain, vol.20, issue.56, pp.147-184, 1990.

P. Van-parijs, Real Freedom for All van Parijs P Social justice as real freedom for all: A reply to Arneson, Fleurbaey, Melnyk and Selznick, The Good Society, vol.7, issue.1, pp.42-48, 1995.

H. Varian, Equity, envy, and efficiency, Journal of Economic Theory, vol.9, issue.1, pp.63-91, 1974.
DOI : 10.1016/0022-0531(74)90075-1

URL : http://dspace.mit.edu/bitstream/1721.1/63490/1/equityenvyeffici00vari.pdf

J. A. Weymark, Generalized Gini indices of equality of opportunity, The Journal of Economic Inequality, vol.1, issue.1, pp.5-24, 2003.
DOI : 10.1023/A:1023923807503

M. E. Yaari and M. Bar, On dividing justly, Social Choice and Welfare, vol.13, issue.1, pp.1-24, 1984.
DOI : 10.1007/BF00297056

A. Yamada, N. Yoshihara, C. , and R. D. , Triple implementation by sharing mechanisms in production economies with unequal labor skills, International Journal of Game Theory, vol.108, issue.1, 2004.
DOI : 10.1007/s00182-007-0072-7

N. Yoshihara, Characterizations of bargaining solutions in production economies with unequal skills, Journal of Economic Theory, vol.108, issue.2, pp.256-285, 2003.
DOI : 10.1016/S0022-0531(03)00026-7

N. Yoshihara, Fundamental incompatibility among economic efficiency, intergenerational equity, and sustainability in production economies with the 'global warming' type of negative externality " , forth, Intergenerational Equity and Sustainability, IEA Conference Proceeding, 2005.

H. P. Young, On Dividing an Amount According to Individual Claims or Liabilities, Mathematics of Operations Research, vol.12, issue.3, pp.398-414, 1987.
DOI : 10.1287/moor.12.3.398