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L'absence d'envie ; une introduction

Published online by Cambridge University Press:  17 August 2016

William Thomson
William Thomson*
Affiliation:
University of Rochester
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Résumé

Cet article est une introduction élémentaire à la littérature concernant l'analyse du concept d'une allocation «sans envie», c'est à dire une allocation telle que chaque personne préfère son panier de consommation au panier de toute autre personne. Nous présentons une liste des mérites de cette définition et une liste de ses limitations.

Summary

Summary

This article is an elementary introduction to the literature devoted to the analysis of the concept of an “envy-free” allocation, that is to say an allocation such that every agent prefers his consumption bundle to anyone else's consumption bundle. We list the merits of this definition as well as its limitations.

Keywords

D63D63
Type
Research Article
Information
Recherches Économiques de Louvain/ Louvain Economic Review , Volume 60 , Issue 1 , March 1994 , pp. 43 - 61
Copyright
Copyright © Université catholique de Louvain, Institut de recherches économiques et sociales 1994 

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Footnotes

(*)

Cette note a été préparée pour la conférence sur l’Absence d’Envie qui s’est tenue à Louvain-la-Neuve sous les auspices de la Chaire Hoover, en décembre 1993. Je voudrais remercier les organisateurs et les participants, en particulier Ph. Van Parijs et C. Arnsperger.

References

BIBLIOGRAPHIE

Alkan, A. [1989], Monotonicity and Fair Assignments, Bogazici University Discussion Paper Iss/Ad 89-04, Novembre.Google Scholar
Alkan, A., G., Demange et Gale, D. [1991], Fair Allocation of Indivisible Goods and Criteria of Justice, Econometrica, vol. 59, pp. 1023–1039.Google Scholar
Aragones, E. [1992], A Solution To the Envy-Free Selection Problem In Economies with Indivisible Goods, Northwestern University, MimÉO, Avril.Google Scholar
Archibald, P. et Donaldson, D. [1979], Notes On Economic Inequality, Journal of Public Economics, vol. 12, pp. 205–214.Google Scholar
Arnsperger, C. [1993], Envy-Freeness and Distributive Justice, à Paraître dans Journal of Economic Surveys. Google Scholar
Baumol, W. [1986], Superfairness, MIT Press.Google Scholar
Berliant, M., Dunz, K. et Thomson, W. [1992], On the Fair Division of a Heterogeneous Commodity, Journal of Mathematical Economics, vol. 21, pp. 201–216.Google Scholar
Bevia, C. [1992], No-Envy, Population-Monotonicity and Consistency In Economies WithIndivisible Goods, University of Alicante, miméO.Google Scholar
Calsamiglia, X. et Kirman, A. [1993], A Unique Informationally Efficient and Decentralized Mechanism with Fair Outcomes, Econometrica, vol. 61, pp. 1147–1172.Google Scholar
Champsaur, P. et Laroque, G. [1981], Fair Allocations in Large Economies, Journal of Economic Theory, vol. 25, pp. 269–282.Google Scholar
Chaudhuri, A. [1985], Formal Properties of Interpersonal Envy, Theory and Decision, vol. 18, pp. 301–312.Google Scholar
chaudhuri, A. [1986], Some Implications of an Intensity Measure of Envy, Social Choice and Welfare, vol. 3, pp. 255–270.Google Scholar
Crawford, V. [1977], A Game of Fair Division, Review of Economic Studies, vol. 44, pp. 235–247.Google Scholar
Crawford, V. et Heller, W. [1979], Fair Division with Indivisible Commodities, Journal of Economic Theory, vol. 21, pp. 10–27.Google Scholar
Daniel, T. [1975], A Revised Concept of Distributional Equity, Journal of Economic Theory, vol. 11, pp. 94–109.Google Scholar
Daniel, T. [1990], Pitfalls in the Theory of Fairness – Comment, Journal of Economic Theory, vol. 19, pp. 561–564.Google Scholar
Diamantaras, D. [1990], Equitable Allocations in Economies with Local Public Goods, Temple University, miméo, Avril.Google Scholar
Diamantaras, D. [1991a], Envy-Free and Efficient Allocations in Large Public Good Economies, Economics Letters, vol. 36, pp. 227–232.Google Scholar
Diamantaras, D. [1991b], On Strict No-Envy and the Consistency Principle in Economies with Public Goods, Temple University, miméo, décembre.Google Scholar
Diamantaras, D. [1992], On Equity with Public Goods, Social and Welfare, vol. 9, pp. 141–157.Google Scholar
Diamantaras, D. et Thomson, W. [1990], An Extension and Refinement of the No-Envy Concept, Economics Letters, vol. 33, pp. 217–222.Google Scholar
Dutta, B. et Vohra, R. [1993], A Characterization of Egalitarian-Equivalence, Economic Theory, vol. 4, pp. 465–479.Google Scholar
Feldman, A. et Kirman, A. [1974], Fairness and Envy, American Economic Review, vol. 64, pp. 995–1005.Google Scholar
Feldman, A. et Weiman, D. [1979], Envy, Wealth and Class Hierarchies, Journal of Public Economics, vol. 11, pp. 81–91.Google Scholar
Fleurbaey, M. [1990], Competitive Equilibrium, Equity, and Income Compensation, I.N.S.E.E., miméo.Google Scholar
Fleurbaey, M. [1992A], Preference Responsability and Monotonicity in Fair Division, UC Davis, miméo, mars.Google Scholar
Fleurbaey, M. [1992B], L'absence d'envie ; un critère de justice, I.N.S.E.E. miméo, novembre.Google Scholar
Fleurbaey, M. [1993a], L'absence d'envie dans une problématique «Post-Welfariste». I.N.S.E.E., miméo, novembre.Google Scholar
Fleurbaey, M. [1993b], Three Solutions for the Compensation Problem, I.N.S.E.E., Discussion paper.Google Scholar
Fleurbaey, M. [1993C], Rewards patterns of fair division, I.N.S.E.E. miméo.Google Scholar
Fleurbaey, M. [1993d], Eléments de justice économique, I.N.S.E.E., miméo.Google Scholar
Foley, D. [1967], Resource Allocation and the Public Sector, Yale Economic Essays, vol. 7, pp. 45–90.Google Scholar
Geanakoplos, J. et nalebuff, B. [1988], On a Fundamental Conflict Between Equity and Efficiency, Yale University, Discussion Paper.Google Scholar
Goldman, S. et Sussangkarn, C. [1978], On the Concept of Fairness, Journal of Economic Theory, vol. 19, pp. 210–216.Google Scholar
Goldman, S. et Sussangkarn, C. [1980], On Equity and Efficiency, Economics Letters, vol. 5, pp. 29–31.Google Scholar
Hurwicz, L. [1979], On Allocations Attainable Through Nash Equilibria, in Laffont, J.J., éd., Aggregation and Revelation of Preferences, North-Holland, pp. 397–419.Google Scholar
Iturbe, I. et Nleto, J. [1993], On Fair Allocation and Monetary Compensations, miméo, Juin.Google Scholar
Jaskold-Gabszewicz, J. [1975], Coalitional Fairness of Allocations in Pure Exchange, Econometrica, vol. 43, pp. 661–668.Google Scholar
Jaskold-Gabszewicz, J. [1980], Fair Allocations and Equal Incomes, Journal of Economic Theory, vol. 23, pp. 189–200.Google Scholar
Kolm, S. [1972], Justice et équité, Paris, Editions du Centre National de la Recherche Scientifique.Google Scholar
Kolm, S. [1973], Super-Equité, Kyklos, vol. 26, pp. 841–843.Google Scholar
Kolm, S. [1990], The General Theory of Justice, miméo.Google Scholar
Kolpin, V. [1991a], Resolving Open Questions on the δ-Envy-Free Criterion, Economics Letters, vol. 36, pp. 17–20.Google Scholar
kolpin, V. [1991b], Equity and the Core, Mathematical Social Sciences, vol. 22, pp. 137–150.Google Scholar
Luce, D. et Raiffa, H. [1957], Games and Decisions, New York, Wiley.Google Scholar
Maniquet, F. [1992], Distribution Rules for a Commonly Owned Technology, the average cost lower Bound, Université de Namur, miméo, novembre.Google Scholar
Mas-Colell, A. [1980], Remarks on the Game Theoretic Analysis of a Simple Distribution of Surplus Problem, International Journal of Game Theory, vol. 9, pp. 125–140.Google Scholar
Mas-Colell, A. [1980b], Efficiency and Decentralization in the Pure Theory of Public Goods, Quarterly Journal of Economics, vol. 94, pp. 625–641.Google Scholar
Mas-Colell, A. [1987], On the Second Welfare Theorem for Anonymous Net Trades in Exchange Economies with Many Agents, in Groves, T., Radner, R. et Reiter, S., éds., Information, Incentives and Economic Mechanisms, Mineapolis, University of Minnesota Press, pp. 267–292.Google Scholar
Maskin, E. [1977], Nash Equilibrium and Welfare Optimality, M.I.T., miméo.Google Scholar
Maskin, E. [1987], On the Fair Allocation of Indivisible Goods, Chapitre 11 in Feiwel, G., éd., Arrow and the Foundations of the Theory of Economic Policy, London, MacMillan, pp. 341–349.Google Scholar
Moulin, H. [1987a], A Core Selection for Pricing a Single-Output Monopoly, Rand Journal of Economics, vol. 18, pp. 397—407.Google Scholar
Moulin, H. [1987b], The Pure Compensation Problem; Egalitarianism versus Laissez-Fairism, Quarterly Journal of Economics, vol. 101, pp.769–783.Google Scholar
Moulin, H. [1987c], Common Property Resources; Can Everyone Benefit From Growth?, Virginia Polytechnic Institute, miméo, June.Google Scholar
Moulin, H. [1987d], Egalitarian equivalent cost sharing of a public good, Econometrica, vol. 55, pp.963–977.Google Scholar
Moulin, H., All Sorry to Disagree; A General Principle for the Provision of Non-Rival Goods?, Duke University, miméo.Google Scholar
Moulin, H. [1990a], Uniform Preference Externalities; Two Axioms for Fair Allocation, Journal of Public Economics, vol. 43, pp. 305—326.Google Scholar
Moulin, H. [1990b], Fair Division Under Joint Ownership; Recent Results and Open Problems, Social Choice and Welfare, vol. 7, pp. 149–170.Google Scholar
Moulin, H. [1990c], Joint Ownership of a Convex Technology; Comparisons of Three Solutions, Review of Economic Studies , vol. 57, pp. 439–452.Google Scholar
Moulin, H. [1990d], Interpreting Common Ownership, Recherches économiques de Louvain, vol. 56, pp. 303–326.Google Scholar
Moulin, H. [1990e], Fair Division with Money; Two Interpretations of Common Ownership, Duke University Discussion Paper, mai.Google Scholar
Moulin, H. [1991a], Welfare Bounds in the Fair Division Problem, Journal of Economic Theory, vol. 54, pp. 321–337.Google Scholar
Moulin, H. [1991b], On the Fair and Coalitionproof Allocation of Private Goods, Duke University, miméo, Juin.Google Scholar
Moulin, H. [1991c], Stand Alone and Unanimity Tests, Duke University, Mimeo.Google Scholar
Moulin, H. [1992a], Welfare Bounds in the Cooperative Production Problem, Games and Economic Behavior, vol. 4, pp. 373–401.Google Scholar
Moulin, H. [1992], An Application of the Shapley Value to Fair Division with Money, Econometrica, vol. 60, pp. 1331–1349.Google Scholar
Moulin, H. et Roemer, J. [1989], Public Ownership of the External World and Private Ownership of Self, Journal of Political Economy, vol. 97, pp. 347–367.Google Scholar
Moulin, H. et Thomson, W. [1987b], Can Everyone Benefit from Growth? Two Difficulties, Journal of Mathematical Economics, vol. 17, pp. 339–345.Google Scholar
Otsuki, M. [1980], On Distribution According to Labor: A Concept of Fairness in Production, Review of Economic Studies, vol. 47, pp. 945–958.Google Scholar
Otsuki, M. [1992], Surplus from Publicness in Consumption and its Equitable Distribution, Journal of Public Economics, vol. 47, pp. 107–124.Google Scholar
Pazner, E. [1977], Pitfalls in the Theory of Fairness, Journal of Economic Theory, vol. 14, pp. 458–466.Google Scholar
Pazner, E. et Schmeidler, D. [1974], A Difficulty in the Concept of Fairness, Review of Economic Studies, vol. 41, pp. 441—443.Google Scholar
Pazner, E. et Schmeidler, D. [1978], Egalitarian Equivalent Allocations; A New Concept of Economic Equity, Quarterly Journal of Economics, vol. 92, pp. 671–687.Google Scholar
Roemer, J. [1986], Equality of Resources Implies Equality of Welfare, Quarterly Journal of Economics, vol. 101, pp. 751–784.Google Scholar
Saijo, T. Tatamitani, Y. et Yamato, T. [1993], Toward natural implementation, miméo, juin.Google Scholar
Schmeidler, D. et Vind, K. [1972], Fair Net Trades, Econometrica, vol. 40, pp. 637–64.Google Scholar
Shitovitz, B. [1990], Coalitional Fair Allocations in Differentiable Mixed Markets with an Atomless Sector, University of Haifa discussion paper, mai.Google Scholar
Sjōstrōm, T. [1991], On the Necessary and Sufficient Conditions for Nash Implementation, Social Choice and Welfare, vol. 8, pp. 333–340.Google Scholar
Sussangkarn, C. and Goldman, S. [1983], Dealing with Envy, University of California - Berkeley, discussion paper.Google Scholar
Svensson, L.G. [1983a], On the Existence of Fair Allocation, Zeitschrift fur Nationalökonomie, vol. 43, pp. 301–308.Google Scholar
Svensson, L.G. [1983b], Large Indivisibilities: An Analysis with Respect to Price Equilibrium and Fairness, Econometrica, vol. 51, pp. 939–954.Google Scholar
Svensson, L.G. [1988], Fair Wages when Individual Choice Stets are Incomplete : An Application of a Model with Indivisibilities, Scandinavian Journal of Economies, vol. 90, pp. 563–573.Google Scholar
Svensson, L.G. [1989], Fairness, the veil of ignorance and social choice, Social Choice Welfare, vol. 6, pp. 1–17.Google Scholar
Svensson, L.G. [1983a], δ-Optimality and Fairness, Lund University miméo, aôut.Google Scholar
Tadenuma, K. et Thomson, W. [1991a], No-Envy and Consistency in Economies with Indivisible Goods, Econometrica, vol. 59, pp. 1755–1767.Google Scholar
Tadenuma, K. et Thomson, W. [1991b], Games of Fair Division, à paraître dans Games and Economic Behavior. Google Scholar
Tadenuma, K. et Thomson, W. [1992], Solutions to the Problem of Fair Allocation in Economies with Indivisible Goods, University of Rochester, miméo (à paraître dans Theory and Decision). Google Scholar
Tadenuma, K. et Thomson, W. [1993], The Fair Allocation of an Indivisible Good When Monetary Compensations are Possible, Mathematical Social Sciences, vol. 25, pp. 117–132.Google Scholar
Thomson, W. [1978], Monotonie Allocation Mechanisms; Preliminary Results, University of Minnesota, miméo.Google Scholar
Thomson, W. [1979], On Allocations Attainable Through Nash-Equilibria, A Comment, in Laffont, J.J., éd, Aggregation and Revelation of Preferences, Amsterdam, North Holland, pp. 420—431.Google Scholar
Thomson, W. [1982], An Informationally Efficient Equity Criterion, Journal of Public Economics, vol. 18, pp. 243–263.Google Scholar
Thomson, W. [1983a], Equity in Exchange Economies, Journal of Economic Theory, vol. 29, pp. 217–244.Google Scholar
Thomson, W. [1983b], The Fair Division of a Fixed Supply among a Growing Population, Mathematics of Operations Research, vol. 8, pp. 319–326.Google Scholar
Thomson, W. [1987b], Notions of Equal, and Equivalent, Opportunities, à paraître dans Social Choice and Welfare. Google Scholar
Thomson, W. [1987c], Monotonie Allocation Rules in Public Good Economies, University of Rochester Discussion Paper No. 117, December, revised April 1989.Google Scholar
Thomson, W. [1987c], Monotonie Allocation Rules, University of Rochester Discussion Paper No. 116, December, Revised April 1989.Google Scholar
Thomson, W. [1987d], The Vulnerability to Manipulative Behaviour of Mechanisms Designed to Select Equitable and Efficient Allocations, chapitre 14 in Groves, T., Radner, R., et Reiter, S., éds., Information, Incentives and Economic Mechanisms, Minneapolis, University of Minnesota University Press, pp. 395–396.Google Scholar
Thomson, W. [1988], A Study of Choice Correspondences in Economies with a Variable Number of Agents, Journal of Economic Theory, vol. 46, pp. 237–254.Google Scholar
Thomson, W. [1990a], On the Non-Existence of Envy-Free and Egalitarian Allocations in Economies with Indivisibilities, Economics Letters, vol. 34, pp. 227–229.Google Scholar
Thomson, W. [1990b], Consistent Solution to the Problem of Fair Division When Preferences are Single-Peaked, University of Rochester miméo, Janvier, Journal of Economic Theory, à paraître.Google Scholar
Thomson, W. [1990c], Manipulation and Implementation of Solutions to the Problem of Fair Allocation when Preferences are Single-Peaked, University of Rochester miméo, Mai.Google Scholar
Thomson, W. [1991a], Resource-Monotonic Solutions to the Problem of Fair Division when Preferences are Single-Peaked, à paraître dans Social Choice and Welfare. Google Scholar
Thomson, W. [1991b], Population-Monotonie Solutions to the Problem of Fair Division when Preferences are Single-Peaked, à paraître dans Economic Theory. Google Scholar
Thomson, W. [1992], The Replacement Principle in Private Good Economies with Single-Peaked Preferences, University of Rochester, miméo, Décembre.Google Scholar
Thomson, W. [1993a], Fair Allocation Rules, University of Rochester, miméo.Google Scholar
Thomson, W. [1993b], The Theory of Fair Allocation, University of Rochester, miméo (à paraître chez Princeton University Press).Google Scholar
Thomson, W. [1993c], “Divide and Permute” and the Implementation of Solutions to the Problem of Fair Division, University of Rochester, miméo.Google Scholar
Thomson, W. et Varian, H. [1985], Theories of Justice Based on Symmetry, Chapitre 4 in Hurwicz, L., Schmeidler, D., and Sonnenschein, H., éds. Social Goals and Social Organization, Cambridge, Cambridge University Press, pp. 197–129.Google Scholar
Thomson, W. et Zhou, L. [1993], Consistent Allocation Rules in Atomless Economies, Econometrica, vol. 61, pp. 575–587.Google Scholar
Tinbergen, J. [1953], Redelijke Inkomensverdeling, Haarlem, The Netherlands, N.V. DeGulden Pers, 2nd. Edition.Google Scholar
Van Parus, Ph. [1990], Equal Endowments as Undominated Diversity, Recherches économiques de Louvain, vol. 56, pp. 327–355.Google Scholar
Varian, H. [1974], Equity, and Efficiency, Journal of Economic Theory, vol. 9, pp. 63–91.Google Scholar
Varian, H. [1975], Distributive Justice, Welfare Economics, and the Theory of Fairness, Philosophy and Public Affairs, vol. 4, pp. 223–247.Google Scholar
Varian, H. [1976], Two Problems in the Theory of Fairness, Journal of Public Economics, vol. 5, pp. 249–260 Google Scholar
Villar, A. [1987], On the Fair Distribution of a Cake in the Presence of Externalities, University of Alicante, Discussion Paper.Google Scholar
Vohra, R. [1992], Equity and Efficiency in Non-Convex Economies, Social Choice and Welfare, vol. 9, pp. 185–202.Google Scholar
Weller, D. [1989], Fair Division of Measurable Space, Journal of Mathematical Economics, vol. 14, pp. 5–17.Google Scholar
Yamato, T. [1990], Double Implementation in Nash and Undominatd Nash Implementation, University of Rochester, miméo.Google Scholar
Yamato, T. [1993], Nash Implementation and Double Implementation : Equivalence Theorems, Toyo University Discussion Paper, Janvier.Google Scholar
Zhou, L. [1992], Strictly Fair Allocations and Walrasian Equilibria in Large Exchange Economies, Journal of Economic Theory, vol 57, pp. 158–175.Google Scholar