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Population Monotonic and Strategy-Proof Mechanisms Respecting Welfare Lower Bounds

  • Duygu Yengin

    ()

    (School of Economics, University of Adelaide)

The 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.

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File URL: http://www.economics.adelaide.edu.au/research/papers/doc/wp2012-05.pdf
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Paper provided by University of Adelaide, School of Economics in its series School of Economics Working Papers with number 2012-05.

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Length: 28 pages
Date of creation: Aug 2012
Date of revision:
Handle: RePEc:adl:wpaper:2012-05
Contact details of provider: Postal: Adelaide SA 5005
Phone: (618) 8303 5540
Web page: http://www.economics.adelaide.edu.au/

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  5. Duygu Yengin, 2012. "Population Monotonic and Strategy-Proof Mechanisms Respecting Welfare Lower Bounds," School of Economics Working Papers 2012-05, University of Adelaide, School of Economics.
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  13. 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.
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  17. Duygu Yengin, 2012. "Egalitarian-equivalent Groves mechanisms in the allocation of heterogenous objects," Social Choice and Welfare, Springer, vol. 38(1), pages 137-160, January.
  18. 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.
  19. 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.
  20. Groves, Theodore, 1973. "Incentives in Teams," Econometrica, Econometric Society, vol. 41(4), pages 617-31, July.
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  25. 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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