Population Monotonic and Strategy-Proof Mechanisms Respecting Welfare Lower Bounds
AbstractThe significance of population monotonicity and welfare bounds is well-recognized in the fair division literature. We characterize population monotonic and incentive compatible mechanisms which allocate the goods efficiently and respect a welfare lower bound chosen in the fair allocation problem of allocating collectively owned indivisible goods or bads when monetary transfers are possible and preferences are private information. We consider the welfare bounds that are central to the fair allocation literature, namely, the identical-preferences lower-bound, individual rationality, the stand-alone lower-bound, and k-fairness. We also compare the strength and associated budget deficits of and the logical relations between the aforementioned lower bounds.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by University of Adelaide, School of Economics in its series School of Economics Working Papers with number 2012-05.
Length: 28 pages
Date of creation: Aug 2012
Date of revision:
welfare bounds; the identical-preferences lower-bound; individual rationality; the stand-alone lower-bound; k-fairness; population monotonicity; collective ownership; allocation of indivisible goods and money; NIMBY problems; imposition of tasks; Groves mechanisms; strategy-proofness;
Other versions of this item:
- Yengin, Duygu, 2013. "Population monotonic and strategy-proof mechanisms respecting welfare lower bounds," Journal of Mathematical Economics, Elsevier, vol. 49(5), pages 389-397.
- C79 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Other
- D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis
- 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-2012-09-03 (All new papers)
- NEP-CTA-2012-09-03 (Contract Theory & Applications)
- NEP-MIC-2012-09-03 (Microeconomics)
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.:
- Green, Jerry & Laffont, Jean-Jacques, 1977. "Characterization of Satisfactory Mechanisms for the Revelation of Preferences for Public Goods," Econometrica, Econometric Society, vol. 45(2), pages 427-38, March.
- Shinji Ohseto, 2006. "Characterizations of strategy-proof and fair mechanisms for allocating indivisible goods," Economic Theory, Springer, vol. 29(1), pages 111-121, September.
- Gibbard, Allan, 1973. "Manipulation of Voting Schemes: A General Result," Econometrica, Econometric Society, vol. 41(4), pages 587-601, July.
- Roemer, John E, 1986. "Equality of Resources Implies Equality of Welfare," The Quarterly Journal of Economics, MIT Press, vol. 101(4), pages 751-84, November.
- Hervé Moulin, 2010. "Auctioning or assigning an object: some remarkable VCG mechanisms," Social Choice and Welfare, Springer, vol. 34(2), pages 193-216, February.
- Murat Atlamaz & Duygu Yengin, 2008. "Fair Groves mechanisms," Social Choice and Welfare, Springer, vol. 31(4), pages 573-587, December.
- Groves, Theodore, 1973. "Incentives in Teams," Econometrica, Econometric Society, vol. 41(4), pages 617-31, July.
- Hyungjun Kim, 2004. "Population monotonic rules for fair allocation problems," Social Choice and Welfare, Springer, vol. 23(1), pages 59-70, 08.
- Porter, Ryan & Shoham, Yoav & Tennenholtz, Moshe, 2004. "Fair imposition," Journal of Economic Theory, Elsevier, vol. 118(2), pages 209-228, October.
- Thomson, William, 1995.
"Population-Monotonic Solutions to the Problem of Fair Division When Preferences Are Single-Peaked,"
Springer, vol. 5(2), pages 229-46, March.
- Thomson, W., 1991. "Population-Monotonic Solutions to the Problem of Fair Division when Preferences are Single-Peaked," RCER Working Papers 302, University of Rochester - Center for Economic Research (RCER).
- Bevia, Carmen, 1996. "Population monotonicity in economies with one indivisible good," Mathematical Social Sciences, Elsevier, vol. 32(2), pages 125-137, October.
- Duygu Yengin, 2011.
"Identical Preferences Lower Bound for Allocation of Heterogeneous Tasks and NIMBY Problems,"
School of Economics Working Papers
2011-27, University of Adelaide, School of Economics.
- Duygu Yengin, 2013. "Identical Preferences Lower Bound for Allocation of Heterogenous Tasks and NIMBY Problems," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 15(4), pages 580-601, 08.
- Duygu Yengin, 2011. "Axiomatizing Political Philosophy of Distributive Justice: Equivalence of No-envy and Egalitarian-equivalence with Welfare-egalitarianism," School of Economics Working Papers 2011-19, University of Adelaide, School of Economics.
- Pazner, Elisha A & Schmeidler, David, 1978.
"Egalitarian Equivalent Allocations: A New Concept of Economic Equity,"
The Quarterly Journal of Economics,
MIT Press, vol. 92(4), pages 671-87, November.
- Elisha A. Pazner & David Schmeidler, 1975. "Egalitarian Equivalent Allocations: A New Concept of Economic Equity," Discussion Papers 174, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Moulin, Herve, 1991.
"Welfare bounds in the fair division problem,"
Journal of Economic Theory,
Elsevier, vol. 54(2), pages 321-337, August.
- Fleurbaey, Marc, 1995. "Equality and responsibility," European Economic Review, Elsevier, vol. 39(3-4), pages 683-689, April.
- Duygu Yengin, 2011.
"Characterizing Welfare-egalitarian Mechanisms with Solidarity When Valuations are Private Information,"
School of Economics Working Papers
2011-20, University of Adelaide, School of Economics.
- Yengin Duygu, 2012. "Characterizing Welfare-egalitarian Mechanisms with Solidarity When Valuations are Private Information," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 12(1), pages 1-35, April.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Dmitriy Kvasov).
If references are entirely missing, you can add them using this form.