"Fair Marriages:" An Impossibility
AbstractFor the classical marriage model (introduced in Gale and Shapley, 1962) efficiency and envy-freeness are not always compatible, i.e., fair matchings do not always exist. However, for many allocation of indivisible goods models (see Velez, 2008, and references therein), fairness can be restored if a sufficiently large amount of money is available for distribution/compensation as well. Interpreting the agents as the objects to be allocated, one might try to restore fairness for marriage markets in a similar fashion. We prove that there are marriage markets where no amount of money can guarantee the existence of a fair allocation.
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Bibliographic InfoPaper provided by Harvard Business School in its series Harvard Business School Working Papers with number 09-053.
Length: 5 pages
Date of creation: Oct 2008
Date of revision:
efficiency; fairness; marriage markets; envy-freeness;
Other versions of this item:
- Klaus, Bettina, 2009. "“Fair marriages”: an impossibility," Open Access publications from Maastricht University urn:nbn:nl:ui:27-20051, Maastricht University.
- C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
- D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
This paper has been announced in the following NEP Reports:
- NEP-ALL-2008-10-21 (All new papers)
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Svensson, Lars-Gunnar, 1983. "Large Indivisibles: An Analysis with Respect to Price Equilibrium and Fairness," Econometrica, Econometric Society, vol. 51(4), pages 939-54, July.
- Alkan, Ahmet & Demange, Gabrielle & Gale, David, 1991. "Fair Allocation of Indivisible Goods and Criteria of Justice," Econometrica, Econometric Society, vol. 59(4), pages 1023-39, July.
- Varian, Hal R., 1974.
"Equity, envy, and efficiency,"
Journal of Economic Theory,
Elsevier, vol. 9(1), pages 63-91, September.
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