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Chapter Twenty-One - Fair Allocation Rules

In: Handbook of Social Choice and Welfare

Listed author(s):
  • Thomson, William

We review the theory of fairness as it pertains to concretely specified problems of resource allocations. We present punctual notions designed to evaluate how well individuals, or groups, are treated in relation to one another: no-envy, egalitarian-equivalence, individual and collective lower or upper bounds on welfare, notions of equal or equivalent opportunities, as well as various families extending these notions. We also introduce relational notions specifying how allocation rules should respond to changes in resources (resource monotonicity), technologies (technology monotonicity), preferences (welfare domination under preference replacement), and population (population monotonicity, consistency, converse consistency). We investigate the implications of these properties, in various combinations, in the context of various models: the “classical” problem of dividing an unproduced bundle, economies with production, economies with public goods, economies with single-peaked preferences, economies with indivisible goods, and economies in which the dividend is a non-homogeneous continuum. We consider economies in which resources are owned collectively, economies in which they are owned privately, and economies in which ownership is mixed. We offer a number of characterizations of particular allocation rules.

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This chapter was published in:
  • K. J. Arrow & A. K. Sen & K. Suzumura (ed.), 2011. "Handbook of Social Choice and Welfare," Handbook of Social Choice and Welfare, Elsevier, edition 1, volume 2, number 2.
  • This item is provided by Elsevier in its series Handbook of Social Choice and Welfare with number 2-21.
    Handle: RePEc:eee:socchp:2-21
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    1. Lars Ehlers & Bettina Klaus, 2003. "Coalitional strategy-proof and resource-monotonic solutions for multiple assignment problems," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 21(2), pages 265-280, October.
    2. Szilvia Papai, 2000. "Strategyproof Assignment by Hierarchical Exchange," Econometrica, Econometric Society, vol. 68(6), pages 1403-1434, November.
    3. Yannelis, Nicholas C., 1983. "Existence and fairness of value allocation without convex preferences," Journal of Economic Theory, Elsevier, vol. 31(2), pages 283-292, December.
    4. Francis Su, "undated". "Rental Harmony: Sperner's Lemma in Fair Division," Claremont Colleges Working Papers 1999-10, Claremont Colleges.
    5. Roth, Alvin E. & Sonmez, Tayfun & Utku Unver, M., 2005. "Pairwise kidney exchange," Journal of Economic Theory, Elsevier, vol. 125(2), pages 151-188, December.
    6. Bossert W., 1996. "Redistribution mechanisms based on individual characteristics," Mathematical Social Sciences, Elsevier, vol. 31(1), pages 51-51, February.
    7. Corchon, Luis C. & Iturbe-Ormaetxe, Inigo, 2001. "A Proposal to Unify Some Concepts in the Theory of Fairness," Journal of Economic Theory, Elsevier, vol. 101(2), pages 540-571, December.
    8. Lars Ehlers & Bettina Klaus, 2003. "Probabilistic assignments of identical indivisible objects and uniform probabilistic rules," Review of Economic Design, Springer;Society for Economic Design, vol. 8(3), pages 249-268, October.
    9. Sidartha Gordon, 2007. "Solidarity in choosing a location on a cycle," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 29(1), pages 125-147, July.
    10. Salvador Barberà & Dolors Berga & Bernardo Moreno, 2012. "Domains, ranges and strategy-proofness: the case of single-dipped preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 39(2), pages 335-352, July.
    11. Holcombe, Randall G, 1983. "Applied Fairness Theory: Comment," American Economic Review, American Economic Association, vol. 73(5), pages 1153-1156, December.
    12. Miguel Gines & Francisco Marhuenda, 1996. "Cost monotonic mechanisms," Investigaciones Economicas, Fundación SEPI, vol. 20(1), pages 89-103, January.
    13. Andrew Postlewaite, 1979. "Manipulation via Endowments," Review of Economic Studies, Oxford University Press, vol. 46(2), pages 255-262.
    14. M. GinÊs & F. Marhuenda, 1998. "Efficiency, monotonicity and rationality in public goods economies," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 12(2), pages 423-432.
    15. Atila Abdulkadiroğlu & Tayfun Sönmez & M. Utku Ünver, 2004. "Room assignment-rent division: A market approach," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 22(3), pages 515-538, June.
    16. Thomson, William, 1983. "Equity in exchange economies," Journal of Economic Theory, Elsevier, vol. 29(2), pages 217-244, April.
    17. Alvin E. Roth & Tayfun Sönmez & M. Utku Ünver, 2004. "Kidney Exchange," The Quarterly Journal of Economics, Oxford University Press, vol. 119(2), pages 457-488.
    18. Weber, S. & Wiesmeth, H., 1990. "On the Theory of Cost Sharing," Papers 90-10, York (Canada) - Department of Economics.
    19. John E. Roemer, 1986. "Equality of Resources Implies Equality of Welfare," The Quarterly Journal of Economics, Oxford University Press, vol. 101(4), pages 751-784.
    20. Maniquet, Francois, 2003. "A characterization of the Shapley value in queueing problems," Journal of Economic Theory, Elsevier, vol. 109(1), pages 90-103, March.
    21. Bettina Klaus, 2006. "A Note on the Separability Principle in Economies with Single-Peaked Preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 26(2), pages 255-261, April.
    22. Lars Ehlers & Bettina Klaus, 2004. "Resource-monotonicity for house allocation problems," International Journal of Game Theory, Springer;Game Theory Society, vol. 32(4), pages 545-560, August.
    23. Barbera, S. & Barrett, C. R. & Pattanaik, Prasanta K., 1984. "On some axioms for ranking sets of alternatives," Journal of Economic Theory, Elsevier, vol. 33(2), pages 301-308, August.
    24. Hervé Moulin, 1987. "The Pure Compensation Problem: Egalitarianism Versus Laissez-Fairism," The Quarterly Journal of Economics, Oxford University Press, vol. 102(4), pages 769-783.
    25. Diamantaras, Dimitrios, 1991. "Envy-free and efficient allocations in large public good economies," Economics Letters, Elsevier, vol. 36(3), pages 227-232, July.
    26. Thomson, William, 1995. "Population-Monotonic Solutions to the Problem of Fair Division When Preferences Are Single-Peaked," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 5(2), pages 229-246, March.
    27. Stephen J. Willson, 2003. "Money-egalitarian-equivalent and gain-maximin allocations of indivisible items with monetary compensation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 20(2), pages 247-259, March.
    28. Atila Abdulkadiroglu & Tayfun Sonmez, 1998. "Random Serial Dictatorship and the Core from Random Endowments in House Allocation Problems," Econometrica, Econometric Society, vol. 66(3), pages 689-702, May.
    29. Bettina Klaus & Hans Peters & Ton Storcken, 1997. "Reallocation of an infinitely divisible good," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 10(2), pages 305-333.
    30. Barbera, Salvador & Jackson, Matthew O. & Neme, Alejandro, 1997. "Strategy-Proof Allotment Rules," Games and Economic Behavior, Elsevier, vol. 18(1), pages 1-21, January.
    31. Gabszewicz, Jean Jaskold, 1975. "Coalitional Fairness of Allocations in Pure Exchange Economies," Econometrica, Econometric Society, vol. 43(4), pages 661-668, July.
    32. Dutta, Bhaskar & Vohra, Rajiv, 1993. "A Characterization of Egalitarian Equivalence," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(3), pages 465-479, July.
    33. Arnsperger, Christian, 1994. " Envy-Freeness and Distributive Justice," Journal of Economic Surveys, Wiley Blackwell, vol. 8(2), pages 155-186, June.
    34. Tadenuma, Koichi & Thomson, William, 1991. "No-Envy and Consistency in Economies with Indivisible Goods," Econometrica, Econometric Society, vol. 59(6), pages 1755-1767, November.
    35. Carmen BeviÂ, 1998. "Fair allocation in a general model with indivisible goods," Review of Economic Design, Springer;Society for Economic Design, vol. 3(3), pages 195-213.
    36. Feldman, Allan M & Kirman, Alan, 1974. "Fairness and Envy," American Economic Review, American Economic Association, vol. 64(6), pages 995-1005, December.
    37. Sprumont, Yves, 1991. "The Division Problem with Single-Peaked Preferences: A Characterization of the Uniform Allocation Rule," Econometrica, Econometric Society, vol. 59(2), pages 509-519, March.
    38. Edelman, Paul & Fishburn, Peter, 2001. "Fair division of indivisible items among people with similar preferences," Mathematical Social Sciences, Elsevier, vol. 41(3), pages 327-347, May.
    39. Calsamiglia, Xavier & Kirman, Alan, 1993. "A Unique Informationally Efficient and Decentralized Mechanism with Fair Outcomes," Econometrica, Econometric Society, vol. 61(5), pages 1147-1172, September.
    40. Fleurbaey, Marc & Maniquet, Francois, 1996. "Fair allocation with unequal production skills: The No Envy approach to compensation," Mathematical Social Sciences, Elsevier, vol. 32(1), pages 71-93, August.
    41. Legut, Jerzy, 1990. "On totally balanced games arising from cooperation in fair division," Games and Economic Behavior, Elsevier, vol. 2(1), pages 47-60, March.
    42. Kranich, Laurence, 1996. "Equitable Opportunities: An Axiomatic Approach," Journal of Economic Theory, Elsevier, vol. 71(1), pages 131-147, October.
    43. Sprumont, Yves & Zhou, Lin, 1999. "Pazner-Schmeidler rules in large societies," Journal of Mathematical Economics, Elsevier, vol. 31(3), pages 321-339, April.
    44. Mount, Kenneth & Reiter, Stanley, 1974. "The informational size of message spaces," Journal of Economic Theory, Elsevier, vol. 8(2), pages 161-192, June.
    45. Philpotts, Geoffrey, 1983. "Applied Fairness Theory: Comment," American Economic Review, American Economic Association, vol. 73(5), pages 1157-1160, December.
    46. Serrano, Roberto & Volij, Oscar, 1998. "Axiomatizations of neoclassical concepts for economies," Journal of Mathematical Economics, Elsevier, vol. 30(1), pages 87-108, August.
    47. Flip Klijn, 2000. "An algorithm for envy-free allocations in an economy with indivisible objects and money," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 17(2), pages 201-215.
    48. Baumol, William J, 1982. "Applied Fairness Theory and Rationing Policy," American Economic Review, American Economic Association, vol. 72(4), pages 639-651, September.
    49. Svensson, Lars-Gunnar, 1983. "Large Indivisibles: An Analysis with Respect to Price Equilibrium and Fairness," Econometrica, Econometric Society, vol. 51(4), pages 939-954, July.
    50. Varian, Hal R., 1976. "Two problems in the theory of fairness," Journal of Public Economics, Elsevier, vol. 5(3-4), pages 249-260.
    51. Ehlers, Lars, 2002. "On Fixed-Path Rationing Methods," Journal of Economic Theory, Elsevier, vol. 106(2), pages 472-477, October.
    52. Fleurbaey, Marc & Maniquet, Francois, 1996. "Cooperative Production: A Comparison of Welfare Bounds," Games and Economic Behavior, Elsevier, vol. 17(2), pages 200-208, December.
    53. Lars Ehlers & Bettina Klaus, 2007. "Consistent House Allocation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 30(3), pages 561-574, March.
    54. Maniquet, Francois, 1999. "A strong incompatibility between efficiency and equity in non-convex economies," Journal of Mathematical Economics, Elsevier, vol. 32(4), pages 467-474, December.
    55. Yoshihara, Naoki, 1998. "Characterizations of the public and private ownership solutions," Mathematical Social Sciences, Elsevier, vol. 35(2), pages 165-184, March.
    56. Jose Aizpurua & Antonio Manresa, 1994. "A decentralized and informationally efficient mechanism realizing fair outcomes in economies with public goods," Review of Economic Design, Springer;Society for Economic Design, vol. 1(1), pages 141-158, December.
    57. Koichi Tadenuma, 2005. "Egalitarian-equivalence and the Pareto principle for social preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 24(3), pages 455-473, June.
    58. Bogomolnaia, Anna & Moulin, Herve, 2001. "A New Solution to the Random Assignment Problem," Journal of Economic Theory, Elsevier, vol. 100(2), pages 295-328, October.
    59. Arnsperger, Christian, 1997. "Reformulating Equality of Resources," Economics and Philosophy, Cambridge University Press, vol. 13(01), pages 61-77, April.
    60. FrÊdÊric Gaspart, 1997. "Objective measures of well-being and the cooperative production problem," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 15(1), pages 95-112.
    61. Weber, Shlomo & Wiesmeth, Hans, 1991. "Economic models of NATO," Journal of Public Economics, Elsevier, vol. 46(2), pages 181-197, November.
    62. Eric Maskin, 1999. "Nash Equilibrium and Welfare Optimality," Review of Economic Studies, Oxford University Press, vol. 66(1), pages 23-38.
    63. Serge-Christophe Kolm, 1996. "The theory of justice," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 13(2), pages 151-182, April.
    64. Thomson, William, 1999. " Economies with Public Goods: An Elementary Geometric Exposition," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 1(1), pages 139-176.
    65. Gordon, Sidartha, 2007. "Public decisions: Solidarity and the status quo," Games and Economic Behavior, Elsevier, vol. 61(2), pages 225-241, November.
    66. Thomson, William, 1990. "On the non existence of envy-free and egalitarian-equivalent allocations in economies with indivisibilities," Economics Letters, Elsevier, vol. 34(3), pages 227-229, November.
    67. Moulin, Herve, 1987. "Egalitarian-Equivalent Cost Sharing of a Public Good," Econometrica, Econometric Society, vol. 55(4), pages 963-976, July.
    68. Anna Bogomolnaia & Herve Moulin, 2004. "Random Matching Under Dichotomous Preferences," Econometrica, Econometric Society, vol. 72(1), pages 257-279, 01.
    69. Otsuki, Mikiro, 1996. "Criteria for Distributive Equity: Characterization in Terms of Share Value," Journal of Economic Theory, Elsevier, vol. 71(2), pages 532-557, November.
    70. Chun, Youngsub, 2006. "A pessimistic approach to the queueing problem," Mathematical Social Sciences, Elsevier, vol. 51(2), pages 171-181, March.
    71. Maniquet, Francois, 2001. "On decomposable exchange rules," Economics Letters, Elsevier, vol. 70(3), pages 375-380, March.
    72. Nir Dagan, 1995. "Consistent Solutions in Exchange Economies: a Characterization of the Price Mechanism," Economic theory and game theory 011, Nir Dagan.
    73. repec:pit:wpaper:262 is not listed on IDEAS
    74. Steven Brams & Michael Jones & Christian Klamler, 2008. "Proportional pie-cutting," International Journal of Game Theory, Springer;Game Theory Society, vol. 36(3), pages 353-367, March.
    75. Moulin, Herve, 1992. " All Sorry to Disagree: A General Principle for the Provision of Nonrival Goods," Scandinavian Journal of Economics, Wiley Blackwell, vol. 94(1), pages 37-51.
    76. Shapley, Lloyd & Scarf, Herbert, 1974. "On cores and indivisibility," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 23-37, March.
    77. van den Nouweland, A. & Peleg, B. & Tijs, S., 1996. "Axiomatic characterizations of the Walras correspondence for generalized economies," Journal of Mathematical Economics, Elsevier, vol. 25(3), pages 355-372.
    78. Moulin, Herve, 1992. "Welfare bounds in the cooperative production problem," Games and Economic Behavior, Elsevier, vol. 4(3), pages 373-401, July.
    79. Sonmez, Tayfun & Utku Unver, M., 2005. "House allocation with existing tenants: an equivalence," Games and Economic Behavior, Elsevier, vol. 52(1), pages 153-185, July.
    80. Moulin Herve & Shenker Scott, 1994. "Average Cost Pricing versus Serial Cost Sharing: An Axiomatic Comparison," Journal of Economic Theory, Elsevier, vol. 64(1), pages 178-201, October.
    81. Shlomo Weber & Hans Wiesmeth, 1990. "On the theory of cost sharing," Journal of Economics, Springer, vol. 52(1), pages 71-82, February.
    82. Yongsheng Xu, 2004. "On ranking linear budget sets in terms of freedom of choice," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 22(1), pages 281-289, February.
    83. Nagahisa, Ryo-ichi, 1992. "Walrasian social choice in a large economy," Mathematical Social Sciences, Elsevier, vol. 24(1), pages 73-78, August.
    84. Shitovitz, Benjamin, 1992. "Coalitional fair allocations in smooth mixed markets with an atomless sector," Mathematical Social Sciences, Elsevier, vol. 25(1), pages 27-40, December.
    85. Zhou, Lin, 1992. "Strictly fair allocations in large exchange economies," Journal of Economic Theory, Elsevier, vol. 57(1), pages 158-175.
    86. Campbell, Donald E. & Truchon, Michel, 1988. "Boundary optima and the theory of public goods supply," Journal of Public Economics, Elsevier, vol. 35(2), pages 241-249, March.
    87. Watts, Alison, 1999. "Cooperative production: a comparison of lower and upper bounds," Journal of Mathematical Economics, Elsevier, vol. 32(3), pages 317-331, November.
    88. Maniquet, Francois, 1998. "An equal right solution to the compensation-responsibility dilemma," Mathematical Social Sciences, Elsevier, vol. 35(2), pages 185-202, March.
    89. Shlomo Weber & Hans Wiesmeth, 1989. "The Theory of Cost Sharing," Discussion Paper Serie A 257, University of Bonn, Germany.
    90. Dirk Van de gaer & Marc Fleurbaey & Walter Bossert, 1999. "Responsibility, talent, and compensation: A second-best analysis," Review of Economic Design, Springer;Society for Economic Design, vol. 4(1), pages 35-55.
    91. Steven J. Brams & Paul H. Edelman & Peter C. Fishburn, 2003. "Fair Division Of Indivisible Items," Theory and Decision, Springer, vol. 55(2), pages 147-180, September.
    92. Iturbe-Ormaetxe, Inigo & Nieto, Jorge, 1996. "On Fair Allocations and Monetary Compensations," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(1), pages 125-138, January.
    93. Vincenzo DenicolÔ, 1999. "No-envy and Arrow's conditions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 16(4), pages 585-597.
    94. Elisha A. Pazner & David Schmeidler, 1974. "A Difficulty in the Concept of Fairness," Review of Economic Studies, Oxford University Press, vol. 41(3), pages 441-443.
    95. Kleinberg, Norman L., 1980. "Fair allocations and equal incomes," Journal of Economic Theory, Elsevier, vol. 23(2), pages 189-200, October.
    96. Conley, John P. & Diamantaras, Dimitrios, 1996. "Generalized Samuelson conditions and welfare theorems for nonsmooth economies," Journal of Public Economics, Elsevier, vol. 59(1), pages 137-152, January.
    97. Chun, Youngsub, 2000. "Distributional properties of the uniform rule in economies with single-peaked preferences," Economics Letters, Elsevier, vol. 67(1), pages 23-27, April.
    98. Steven J. Brams & Peter C. Fishburn, 2000. "Fair division of indivisible items between two people with identical preferences: Envy-freeness, Pareto-optimality, and equity," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 17(2), pages 247-267.
    99. Ehlers, Lars & Klaus, Bettina, 2006. "Efficient priority rules," Games and Economic Behavior, Elsevier, vol. 55(2), pages 372-384, May.
    100. Aumann, R. J. & Peleg, B., 1974. "A note on Gale's example," Journal of Mathematical Economics, Elsevier, vol. 1(2), pages 209-211, August.
    101. Chun, Youngsub, 2003. "One-sided population monotonicity, separability, and the uniform rule," Economics Letters, Elsevier, vol. 78(3), pages 343-349, March.
    102. Abdulkadiroglu, Atila & Sonmez, Tayfun, 1999. "House Allocation with Existing Tenants," Journal of Economic Theory, Elsevier, vol. 88(2), pages 233-260, October.
    103. Maniquet, Francois & Sprumont, Yves, 2000. "On resource monotonicity in the fair division problem," Economics Letters, Elsevier, vol. 68(3), pages 299-302, September.
    104. Laurence Kranich, 2009. "Measuring opportunity inequality with monetary transfers," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 7(4), pages 371-385, December.
    105. Anne van den Nouweland & Myrna H. Wooders & S. Tijs, 2002. "Axiomatization of ratio equilibria in public good economies," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 19(3), pages 627-636.
    106. Demange, Gabrielle, 1984. "Implementing Efficient Egalitarian Equivalent Allocations," Econometrica, Econometric Society, vol. 52(5), pages 1167-1177, September.
    107. Kesten, Onur, 2006. "More on the uniform rule: Characterizations without Pareto optimality," Mathematical Social Sciences, Elsevier, vol. 51(2), pages 192-200, March.
    108. Kolpin, Van, 1991. "Resolving open questions on the [lambda]*-envy free criterion," Economics Letters, Elsevier, vol. 36(1), pages 17-20, May.
    109. Roth, Alvin E. & Sotomayor, Marilda, 1992. "Two-sided matching," Handbook of Game Theory with Economic Applications,in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 16, pages 485-541 Elsevier.
    110. William Thomson, 1999. "Welfare-domination under preference-replacement: A survey and open questions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 16(3), pages 373-394.
    111. Klaus Bettina, 2010. "The Role of Replication-Invariance: Two Answers Concerning the Problem of Fair Division When Preferences Are Single-Peaked," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 10(1), pages 1-14, April.
    112. Sprumont, Yves, 1997. "Balanced egalitarian redistribution of income," Mathematical Social Sciences, Elsevier, vol. 33(3), pages 185-201, June.
    113. Steven J. Brams & D. Marc Kilgour, 2001. "Competitive Fair Division," Journal of Political Economy, University of Chicago Press, vol. 109(2), pages 418-443, April.
    114. Varian, Hal R., 1974. "Equity, envy, and efficiency," Journal of Economic Theory, Elsevier, vol. 9(1), pages 63-91, September.
    115. Kolpin, Van, 1991. "Equity and the core," Mathematical Social Sciences, Elsevier, vol. 22(2), pages 137-150, October.
    116. Polterovich, V. M. & Spivak, V. A., 1983. "Gross substitutability of point-to-set correspondences," Journal of Mathematical Economics, Elsevier, vol. 11(2), pages 117-140, April.
    117. Pazner, Elisha A. & Schmeidler, David, 1976. "Social contract theory and ordinal distributive equity," Journal of Public Economics, Elsevier, vol. 5(3-4), pages 261-268.
    118. Demko, Stephen & Hill, Theodore P., 1988. "Equitable distribution of indivisible objects," Mathematical Social Sciences, Elsevier, vol. 16(2), pages 145-158, October.
    119. Marc Fleurbaey & Francois Maniquet, 1999. "Cooperative production with unequal skills: The solidarity approach to compensation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 16(4), pages 569-583.
    120. William Thomson, 2003. "On monotonicity in economies with indivisible goods," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 21(2), pages 195-205, October.
    121. Thomson, William, 1993. "The replacement principle in public good economies with single-peaked preferences," Economics Letters, Elsevier, vol. 42(1), pages 31-36.
    122. Diamantaras Dimitrios & Wilkie Simon, 1994. "A Generalization of Kaneko's Ratio Equilibrium for Economies with Private and Public Goods," Journal of Economic Theory, Elsevier, vol. 62(2), pages 499-512, April.
    123. Bettina Klaus, 2001. "original papers : Uniform allocation and reallocation revisited," Review of Economic Design, Springer;Society for Economic Design, vol. 6(1), pages 85-98.
    124. Pazner, Elisha A., 1977. "Pitfalls in the theory of fairness," Journal of Economic Theory, Elsevier, vol. 14(2), pages 458-466, April.
    125. Champsaur, Paul, 1976. "Symmetry and continuity properties of Lindahl equilibria," Journal of Mathematical Economics, Elsevier, vol. 3(1), pages 19-36, March.
    126. Carmen Herrero, 2002. "General allocation problems with single-peaked preferences: path-independence and related topics," Spanish Economic Review, Springer;Spanish Economic Association, vol. 4(1), pages 19-40.
    127. Lars Ehlers, 2002. "Resource-monotonic allocation when preferences are single-peaked," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 20(1), pages 113-131.
    128. Hervé Crès & Hervé Moulin, 2001. "Scheduling with Opting Out: Improving upon Random Priority," Operations Research, INFORMS, vol. 49(4), pages 565-577, August.
    129. Klaus, Bettina & Peters, Hans & Storcken, Ton, 1997. "Strategy-proof division of a private good when preferences are single-dipped," Economics Letters, Elsevier, vol. 55(3), pages 339-346, September.
    130. Suzumura, Kotaro, 1982. "Equity, efficiency and rights in social choice," Mathematical Social Sciences, Elsevier, vol. 3(2), pages 131-155, September.
    131. Amoros, Pablo, 1999. "Efficiency and income redistribution in the single-peaked preferences model with several commodities," Economics Letters, Elsevier, vol. 63(3), pages 341-349, June.
    132. Meertens, Marc & Potters, Jos & Reijnierse, Hans, 2002. "Envy-free and Pareto efficient allocations in economies with indivisible goods and money," Mathematical Social Sciences, Elsevier, vol. 44(3), pages 223-233, December.
    133. Gale, David, 1974. "Exchange equilibrium and coalitions : An example," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 63-66, March.
    134. Claus-Jochen Haake & Matthias G. Raith & Francis Edward Su, 2002. "Bidding for envy-freeness: A procedural approach to n-player fair-division problems," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 19(4), pages 723-749.
    135. Youngsub Chun, 2006. "No-envy in queueing problems," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 29(1), pages 151-162, September.
    136. Piketty, Thomas, 1994. "Existence of fair allocations in economies with production," Journal of Public Economics, Elsevier, vol. 55(3), pages 391-405, November.
    137. Crawford, Vincent P, 1979. "A Procedure for Generating Pareto-Efficient Egalitarian-Equivalent Allocations," Econometrica, Econometric Society, vol. 47(1), pages 49-60, January.
    138. Austen-Smith, David, 1979. "Fair rights," Economics Letters, Elsevier, vol. 4(1), pages 29-32.
    139. Dagan, Nir, 1996. "A Note on Thomson's Characterizations of the Uniform Rule," Journal of Economic Theory, Elsevier, vol. 69(1), pages 255-261, April.
    140. Ehlers, Lars & Klaus, Bettina & Papai, Szilvia, 2002. "Strategy-proofness and population-monotonicity for house allocation problems," Journal of Mathematical Economics, Elsevier, vol. 38(3), pages 329-339, November.
    141. Daniel, Terrence E., 1975. "A revised concept of distributional equity," Journal of Economic Theory, Elsevier, vol. 11(1), pages 94-109, August.
    142. Bossert Walter & Pattanaik Prasanta K. & Xu Yongsheng, 1994. "Ranking Opportunity Sets: An Axiomatic Approach," Journal of Economic Theory, Elsevier, vol. 63(2), pages 326-345, August.
    143. Schmeidler, David & Vind, Karl, 1972. "Fair Net Trades," Econometrica, Econometric Society, vol. 40(4), pages 637-642, July.
    144. Atila Abdulkadiroglu & Tayfun Sönmez, 2003. "School Choice: A Mechanism Design Approach," American Economic Review, American Economic Association, vol. 93(3), pages 729-747, June.
    145. Kaneko, Mamoru, 1977. "The ratio equilibrium and a voting game in a public goods economy," Journal of Economic Theory, Elsevier, vol. 16(2), pages 123-136, December.
    146. Korthues, Bernd, 2000. "Characterization of an extended Walrasian concept for open economies," Journal of Mathematical Economics, Elsevier, vol. 33(4), pages 449-461, May.
    147. Green, Jerry R., 1972. "On the inequitable nature of core allocations," Journal of Economic Theory, Elsevier, vol. 4(2), pages 132-143, April.
    148. Khan, A & Polemarchakis, Heraklis M, 1978. "Unequal Treatment in the Core," Econometrica, Econometric Society, vol. 46(6), pages 1475-1481, November.
    149. Berliant, Marcus & Thomson, William & Dunz, Karl, 1992. "On the fair division of a heterogeneous commodity," Journal of Mathematical Economics, Elsevier, vol. 21(3), pages 201-216.
    150. G.A. Cohen, 1990. "Equality of What? On Welfare, Goods and Capabilities," Discussion Papers (REL - Recherches Economiques de Louvain) 1990035, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
    151. Ichiishi, Tatsuro & Idzik, Adam, 1999. "Equitable allocation of divisible goods," Journal of Mathematical Economics, Elsevier, vol. 32(4), pages 389-400, December.
    152. Nagahisa, Ryo-ichi, 1991. "A local independence condition for characterization of Walrasian allocations rule," Journal of Economic Theory, Elsevier, vol. 54(1), pages 106-123, June.
    153. Haluk I. Ergin, 2002. "Efficient Resource Allocation on the Basis of Priorities," Econometrica, Econometric Society, vol. 70(6), pages 2489-2497, November.
    154. Dorothea Herreiner & Clemens Puppe, 2002. "A simple procedure for finding equitable allocations of indivisible goods," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 19(2), pages 415-430.
    155. Goldman, Steven M. & Sussangkarn, Chal, 1980. "On equity and efficiency," Economics Letters, Elsevier, vol. 5(1), pages 29-31.
    156. Nir Dagan, 1996. "Consistency and the Walrasian allocations correspondence," Economics Working Papers 151, Department of Economics and Business, Universitat Pompeu Fabra.
    157. Suzumura, Kotaro, 1981. "On pareto-efficiency and the no-envy concept of equity," Journal of Economic Theory, Elsevier, vol. 25(3), pages 367-379, December.
    158. Moulin, Herve, 1989. "Monotonic surplus sharing: Characterization results," Games and Economic Behavior, Elsevier, vol. 1(3), pages 250-274, September.
    159. Daniel, Terrence E., 1978. "Pitfalls in the theory of fairness--Comment," Journal of Economic Theory, Elsevier, vol. 19(2), pages 561-564, December.
    160. Sobel, Joel, 1981. "Proportional distribution schemes," Journal of Mathematical Economics, Elsevier, vol. 8(2), pages 147-157, July.
    161. Sertel, Murat R. & Yildiz, Muhamet, 1998. "The Lindahl solution with changing population and resources1," Mathematical Social Sciences, Elsevier, vol. 35(2), pages 151-163, March.
    162. William Samuelson, 1980. "The Object Distribution Problem Revisited," The Quarterly Journal of Economics, Oxford University Press, vol. 94(1), pages 85-98.
    163. Crawford, V. P. & Heller, W. P., 1979. "Fair division with indivisible commodities," Journal of Economic Theory, Elsevier, vol. 21(1), pages 10-27, August.
    164. Tapan Biswas, 2012. "Distributive Justice And Allocation By The Market: On The Characterization Of A Fair Market Economy," Review of Economic Analysis, Rimini Centre for Economic Analysis, vol. 4(1), pages 131-143, June.
    165. Elisha A. Pazner & David Schmeidler, 1978. "Egalitarian Equivalent Allocations: A New Concept of Economic Equity," The Quarterly Journal of Economics, Oxford University Press, vol. 92(4), pages 671-687.
    166. Eve Ramaekers, 2013. "Fair allocation of indivisible goods: the two-agent case," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(2), pages 359-380, July.
    167. Lars Ehlers, 2011. "A characterization of the uniform rule without Pareto-optimality," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 2(4), pages 447-452, December.
    168. Maniquet, Francois, 1996. "Allocation Rules for a Commonly Owned Technology: The Average Cost Lower Bound," Journal of Economic Theory, Elsevier, vol. 69(2), pages 490-507, May.
    169. Prasanta K. PATTANAIK & Yongsheng XU, 1990. "On Ranking Opportunity Sets in Terms of Freedom of Choice," Discussion Papers (REL - Recherches Economiques de Louvain) 1990036, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
    170. Nicolo, Antonio & Perea, Andres, 2005. "Monotonicity and equal-opportunity equivalence in bargaining," Mathematical Social Sciences, Elsevier, vol. 49(2), pages 221-243, March.
    171. Yves Sprumont, 1998. "Equal factor equivalence in economies with multiple public goods," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 15(4), pages 543-558.
    172. H. Moulin, 1980. "On strategy-proofness and single peakedness," Public Choice, Springer, vol. 35(4), pages 437-455, January.
    173. Otsuki, Mikiro, 1992. "Surplus from publicness in consumption and its equitable distribution," Journal of Public Economics, Elsevier, vol. 47(1), pages 107-124, February.
    174. Moulin, Herve, 1992. "An Application of the Shapley Value to Fair Division with Money," Econometrica, Econometric Society, vol. 60(6), pages 1331-1349, November.
    175. Alkan, Ahmet & Demange, Gabrielle & Gale, David, 1991. "Fair Allocation of Indivisible Goods and Criteria of Justice," Econometrica, Econometric Society, vol. 59(4), pages 1023-1039, July.
    176. Carmen Bevia, 1996. "Identical preferences lower bound solution and consistency in economies with indivisible goods," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 13(1), pages 113-126, January.
    177. Simon Wilkie & Dimitrios Diamantaras, 1996. "On the set of Pareto efficient allocations in economies with public goods (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(2), pages 371-379.
    178. Sonmez, Tayfun, 1994. "Consistency, monotonicity, and the uniform rule," Economics Letters, Elsevier, vol. 46(3), pages 229-235, November.
    179. Ergin, Haluk I., 2000. "Consistency in house allocation problems," Journal of Mathematical Economics, Elsevier, vol. 34(1), pages 77-97, August.
    180. Weller, Dietrich, 1985. "Fair division of a measurable space," Journal of Mathematical Economics, Elsevier, vol. 14(1), pages 5-17, February.
    181. Peragine, Vitorocco, 1999. " The Distribution and Redistribution of Opportunity," Journal of Economic Surveys, Wiley Blackwell, vol. 13(1), pages 37-69, February.
    182. Kesten, Onur, 2006. "On two competing mechanisms for priority-based allocation problems," Journal of Economic Theory, Elsevier, vol. 127(1), pages 155-171, March.
    183. Richter, Marcel K., 1979. "Duality and rationality," Journal of Economic Theory, Elsevier, vol. 20(2), pages 131-181, April.
    184. Yamashige, Shinji, 1997. "Fairness in Markets and Government Policies: A Weak Equity Criterion for Allocation Mechanisms," Hitotsubashi Journal of Economics, Hitotsubashi University, vol. 38(1), pages 61-77, June.
    185. Thomson, William, 1994. "Consistent extensions," Mathematical Social Sciences, Elsevier, vol. 28(1), pages 35-49, August.
    186. Hervé MOULIN, 1990. "Interpreting Common Ownership," Discussion Papers (REL - Recherches Economiques de Louvain) 1990033, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
    187. Chun, Youngsub & Thomson, William, 1988. "Monotonicity properties of bargaining solutions when applied to economics," Mathematical Social Sciences, Elsevier, vol. 15(1), pages 11-27, February.
    188. Goldman, Steven M & Starr, Ross M, 1982. "Pairwise, t-Wise, and Pareto Optimalities," Econometrica, Econometric Society, vol. 50(3), pages 593-606, May.
    189. Akin, Ethan, 1995. "Vilfredo Pareto cuts the cake," Journal of Mathematical Economics, Elsevier, vol. 24(1), pages 23-44.
    190. Iturbe-Ormaetxe, Inigo & Vazquez, Jorge Nieto, 1996. "A stable and consistent solution to distribution problems," Economics Letters, Elsevier, vol. 50(2), pages 243-249, February.
    191. Roemer, John E., 1988. "Axiomatic bargaining theory on economic environments," Journal of Economic Theory, Elsevier, vol. 45(1), pages 1-31, June.
    192. Maniquet, Francois, 1996. "Horizontal equity and stability when the number of agents is variable in the fair division problem," Economics Letters, Elsevier, vol. 50(1), pages 85-90, January.
    193. Sprumont, Y., 1991. "Axiomatizing Ordinal Welafare Egalitarianism when Preferences Vary," Cahiers de recherche 9136, Universite de Montreal, Departement de sciences economiques.
    194. Moulin, Herve, 1991. "Welfare bounds in the fair division problem," Journal of Economic Theory, Elsevier, vol. 54(2), pages 321-337, August.
    195. Jones, Ronald W., 1987. "The population monotonicity property and the transfer paradox," Journal of Public Economics, Elsevier, vol. 32(1), pages 125-132, February.
    196. Fleurbaey Marc, 1995. "Three Solutions for the Compensation Problem," Journal of Economic Theory, Elsevier, vol. 65(2), pages 505-521, April.
    197. Bevia, Carmen, 1996. "Population monotonicity in a general model with indivisible goods," Economics Letters, Elsevier, vol. 50(1), pages 91-97, January.
    198. Bettina Klaus & Eiichi Miyagawa, 2002. "Strategy-proofness, solidarity, and consistency for multiple assignment problems," International Journal of Game Theory, Springer;Game Theory Society, vol. 30(3), pages 421-435.
    199. Balinski, Michel & Sonmez, Tayfun, 1999. "A Tale of Two Mechanisms: Student Placement," Journal of Economic Theory, Elsevier, vol. 84(1), pages 73-94, January.
    200. Svensson, Lars-Gunnar, 1988. " Fair Wages When Individual Choice Sets Are Incomplete--An Application of a Model with Indivisibilities," Scandinavian Journal of Economics, Wiley Blackwell, vol. 90(4), pages 563-573.
    201. Keiding, Hans & Moulin, Herve, 1991. "The solidarity axiom in parametric surplus-sharing problems," Journal of Mathematical Economics, Elsevier, vol. 20(3), pages 249-270.
    202. Svensson, Lars-Gunnar, 1980. "Equity among Generations," Econometrica, Econometric Society, vol. 48(5), pages 1251-1256, July.
    203. Fabio Maccheroni & Fabio Maccheroni & Massimo Marinacci & Massimo Marinacci, 2003. "How to cut a pizza fairly: Fair division with decreasing marginal evaluations," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 20(3), pages 457-465, June.
    204. Diego A. Dominguez & Antonio Nicolo, 2008. "Recursive no-envy," Working Papers 0803, Centro de Investigacion Economica, ITAM.
    205. Thomson, William, 1982. "An informationally efficient equity criterion," Journal of Public Economics, Elsevier, vol. 18(2), pages 243-263, July.
    206. Lars Ehlers, 2002. "Probabilistic allocation rules and single-dipped preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 19(2), pages 325-348.
    207. Andersson, T. & Svensson, L.-G. & Yang, Z., 2010. "Constrainedly fair job assignments under minimum wages," Games and Economic Behavior, Elsevier, vol. 68(2), pages 428-442, March.
    208. William Thomson, 2007. "Children Crying at Birthday Parties. Why?," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 31(3), pages 501-521, June.
    209. Suzumura, Kotaro, 1981. "On the Possibility of "Fair" Collective Choice Rule," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 22(2), pages 351-364, June.
    210. Alkan, Ahmet, 1994. "Monotonicity and Envyfree Assignments," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 4(4), pages 605-616, May.
    211. Sato, Toshihiro, 1987. "Equity, fairness and lindahl equilibria," Journal of Public Economics, Elsevier, vol. 33(2), pages 261-271, July.
    212. Laurence Kranich, 1996. "Equitable opportunities in economic environments," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 14(1), pages 57-64.
    213. William Thomson, 2001. "On the axiomatic method and its recent applications to game theory and resource allocation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(2), pages 327-386.
    214. Roemer John E. & Silvestre Joaquim, 1993. "The Proportional Solution for Economies with Both Private and Public Ownership," Journal of Economic Theory, Elsevier, vol. 59(2), pages 426-444, April.
    215. Weber, S. & Wiesmeth, H., 1990. "Economic Models of NATO," Papers 90-7, York (Canada) - Department of Economics.
    216. Thomson, William, 1988. "A study of choice correspondences in economies with a variable number of agents," Journal of Economic Theory, Elsevier, vol. 46(2), pages 237-254, December.
    217. Youngsub Chun, 2006. "The Separability Principle in Economies with Single-Peaked Preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 26(2), pages 239-253, April.
    218. Sussangkarn, Chal & Goldman, Steven M., 1983. "Dealing with envy," Journal of Public Economics, Elsevier, vol. 22(1), pages 103-112, October.
    219. Moulin, Herve & Roemer, John, 1989. "Public Ownership of the External World and Private Ownership of Self," Journal of Political Economy, University of Chicago Press, vol. 97(2), pages 347-367, April.
    220. Philippe VAN PARIJS, 1990. "Equal Endowments as Undominated Diversity," Discussion Papers (REL - Recherches Economiques de Louvain) 1990034, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
    221. Serge-Christophe Kolm, 1995. "The Economics Of Social Sentiments: The Case Of Envy," The Japanese Economic Review, Japanese Economic Association, vol. 46(1), pages 63-87, March.
    222. Champsaur, Paul & Laroque, Guy, 1981. "Fair allocations in large economies," Journal of Economic Theory, Elsevier, vol. 25(2), pages 269-282, October.
    223. Tadenuma, Koichi & Thomson, William, 1993. "The fair allocation of an indivisible good when monetary compensations are possible," Mathematical Social Sciences, Elsevier, vol. 25(2), pages 117-132, February.
    224. "Sato, Toshihiro", 1985. "Equity and Fairness in an Economy with Public Goods," Economic Review, Hitotsubashi University, vol. 36(4), pages 364-373, January.
    225. Herrero, Carmen & Villar, Antonio, 2000. "An alternative characterization of the equal-distance rule for allocation problems with single-peaked preferences," Economics Letters, Elsevier, vol. 66(3), pages 311-317, March.
    226. Feldman, Allan & Weiman, David, 1979. "Envy, wealth, and class hierarchies," Journal of Public Economics, Elsevier, vol. 11(1), pages 81-91, February.
    227. Andreu Mas-Colell, 1980. "Efficiency and Decentralization in the Pure Theory of Public Goods," The Quarterly Journal of Economics, Oxford University Press, vol. 94(4), pages 625-641.
    228. Bevia, Carmen, 1996. "Population monotonicity in economies with one indivisible good," Mathematical Social Sciences, Elsevier, vol. 32(2), pages 125-137, October.
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