Skip to main content
Log in

A derivation of the money Rawlsian solution

  • Published:
Social Choice and Welfare Aims and scope Submit manuscript

Abstract

We study the set of envy-free allocations for economies with indivisible objects and quasi-linear utility functions. We characterize the minimal amount of money necessary for its nonemptiness when negative distributions of money are not allowed. We also find that, when this is precisely the available amount of money, there is a unique way to combine objects and money such that these bundles may form an envy-free allocation. Based on this property, we describe a solution to the envy-free selection problem following a pseudo-egalitarian criterion. This solution coincides with the “Money Rawlsian Solution” proposed by Alkan et al. (1991).

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Alkan A, Demange G, Gale D (1991) Fair allocation of indivisible objects and criteria of justice. Econometrica 59: 1023–1039

    Google Scholar 

  • Foley D (1967) Resource allocation and the public sector. Yale Economic Essays 7: 45–98

    Google Scholar 

  • Lawler E (1976) Combinatorial optimization: networks and matroids (Ed. Holt) Rinehart and Winston, New York

    Google Scholar 

  • Maskin E (1987) On the fair allocation of indivisible goods. Arrow and the Foundations of the Theory of Economic Policy (Ed. G. Feiwel) London Macmillan

  • Moulin H (1992) An application of the Shapley Value to fair division with money. Econometrica, 60: 1331–1349

    Google Scholar 

  • Quinzii M (1984) Core and Competitive Equilibria with Indivisibilities. Int J Game Theory 13: 41–60

    Google Scholar 

  • Svensson L (1983) Large indivisibles: an analysis with respect to price equilbirium and fairness. Econometrica 51: 939–954

    Google Scholar 

  • Tadenuma K, Thomson W (1991a) Non-envy and consistency in economies with indivisible goods. Econometrica 59: 1755–1767

    Google Scholar 

  • Tadenuma K, Thomson W (1991b) Solutions to the problem of fair allocation in economies with indivisible goods. University of Rochester mimeo.

  • Tadenuma K, Thomson W (1993) The fair allocation of an indivisible good when monetary compensations are possible. Math Soc Sci 25: 117–132

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

I am indebted to I. Gilboa for his valuable suggestions and his patience during the elaboration of the final version. I also wish to thank S. Barbera for his guidance in an earlier version and M. Boldrin, H. Moulin, Z. Neeman, W. Thomson and the referees for their comments. Financial support from FPU-MEC (Spain) is gratefully acknowledged.

Northwestern University.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Aragones, E. A derivation of the money Rawlsian solution. Soc Choice Welfare 12, 267–276 (1995). https://doi.org/10.1007/BF00179981

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00179981

Keywords

Navigation