Abstract
In this paper we look for a solution to a land division problem that could be applied to different types of disputes when the arbitrator has a very limited information about the agents’ preferences. The solution must be fair and efficient under the constraint of the limited information available to the arbitrator. To this scope, we propose to use the concept of equal-opportunity equivalence defined by Thomson (Soc Choice Welfare 11:137–156 1994). We prove the existence of an efficient and equal opportunity equivalent allocation for a land division problem and we present a simple procedure to implement a rule that selects such allocation at each preference profile.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Berliant M, Dunz K, Thomson W (1992) On the fair division of a heterogeneous commodity. J Math Econ 21(3): 201–216
Crawford VP (1979) A procedure for generating Pareto-efficient egalitarian-equivalent allocations. Econometrica 47: 49–60
Demange G (1984) Implementing efficient egalitarian equivalent allocations. Econometrica 52: 1167–1177
Foley D (1967) Resource allocation and the public sector. Yale Econ Essays 7: 45–98
Gamow G.G., Stern M (1958) Puzzle-math. The Viking Press, New York
LiCalzi M, Nicolò A (2009) Egalitarian equivalent allocations over a single good. Econ Theory 40(1): 27–45
Miceli TJ, Sirmans CF (2000) Partition of real estate; or, breaking up is (not) hard to do. J Legal Stud 29: 783–796
Moulin H (2004) Fair division and collective welfare. MIT Press, Cambridge
Nicolò A, Perea A (2005) Monotonicity and equal-opportunity equivalence in bargaining. Math Soc Sci 49: 221–243
Pazner EA, Schmeidler D (1978) Egalitarian equivalent allocations: a new concept of economic equity. Q J Econ 92: 671–687
Thomson W (1994) Notions of equal, or equivalent, opportunities. Soc Choice Welfare 11: 137–156
Weller D (1985) Fair division of a measurable space. J Math Econ 14: 5–17
Author information
Authors and Affiliations
Corresponding author
Additional information
We are grateful to an anonymous referee for thoughtful comments that greatly improved the paper. We have also received very useful suggestions from Paolo Dai Pra.
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
About this article
Cite this article
Nicolò, A., Perea y Monsuwe, A. & Roberti, P. Equal opportunity equivalence in land division. SERIEs 3, 133–142 (2012). https://doi.org/10.1007/s13209-011-0069-0
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s13209-011-0069-0