The computational complexity of random serial dictatorship
In social choice settings with linear preferences, random dictatorship is known to be the only social decision scheme satisfying strategyproofness and ex post efficiency. When also allowing indifferences, random serial dictatorship (RSD) is a well-known generalization of random dictatorship that retains both properties. RSD has been particularly successful in the special domain of random assignment where indifferences are unavoidable. While executing RSD is obviously feasible, we show that computing the resulting probabilities is #P-complete, and thus intractable, both in the context of voting and assignment.
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- Budish, Eric & Cantillon, Estelle, 2010.
"The Multi-unit Assignment Problem: Theory and Evidence from Course Allocation at Harvard,"
CEPR Discussion Papers
7641, C.E.P.R. Discussion Papers.
- Eric Budish & Estelle Cantillon, 2012. "The Multi-unit Assignment Problem: Theory and Evidence from Course Allocation at Harvard," American Economic Review, American Economic Association, vol. 102(5), pages 2237-71, August.
- Eric Budish & Estelle Cantillon, 2012. "The Multi-unit Assignment Problem: Theory and Evidence from Course Allocation at Harvard," ULB Institutional Repository 2013/99376, ULB -- Universite Libre de Bruxelles.
- Bogomolnaia, Anna & Moulin, Herve & Stong, Richard, 2005.
"Collective choice under dichotomous preferences,"
Journal of Economic Theory,
Elsevier, vol. 122(2), pages 165-184, June.
- Gibbard, Allan, 1977. "Manipulation of Schemes That Mix Voting with Chance," Econometrica, Econometric Society, vol. 45(3), pages 665-81, April.
- Bettina Klaus & Flip Klijn, 2003.
"Procedurally Fair and Stable Matching,"
36, Barcelona Graduate School of Economics.
- Tayfun Sönmez & M. Utku Ünver, 2009. "Matching, Allocation, and Exchange of Discrete Resources," Boston College Working Papers in Economics 717, Boston College Department of Economics.
- Bogomolnaia, Anna & Moulin, Herve, 2001. "A New Solution to the Random Assignment Problem," Journal of Economic Theory, Elsevier, vol. 100(2), pages 295-328, October.
- Atila Abdulkadiroglu & Tayfun Sonmez, 1998. "Random Serial Dictatorship and the Core from Random Endowments in House Allocation Problems," Econometrica, Econometric Society, vol. 66(3), pages 689-702, May.
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