Matching with Quorums
We study the problem of allocating workers to different projects in which each project requires having a minimum number of workers assigned to it or else it does not open. We show that the well-known serial dictatorship mechanism is neither strategy-proof nor Pareto efficient. Thus, we propose an algorithm, denoted as the serial dictatorship with project closures, which is strategy-proof and also Pareto efficient over the set of all feasible allocations.
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- 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.
- John Hatfield, 2009. "Strategy-proof, efficient, and nonbossy quota allocations," Social Choice and Welfare, Springer, vol. 33(3), pages 505-515, September.
- Hylland, Aanund & Zeckhauser, Richard, 1979. "The Efficient Allocation of Individuals to Positions," Journal of Political Economy, University of Chicago Press, vol. 87(2), pages 293-314, April.
- Manea, Mihai, 2007. "Serial dictatorship and Pareto optimality," Games and Economic Behavior, Elsevier, vol. 61(2), pages 316-330, November.
- Lars Ehlers & Bettina Klaus, 2003. "Coalitional strategy-proof and resource-monotonic solutions for multiple assignment problems," Social Choice and Welfare, Springer, vol. 21(2), pages 265-280, October.
- Lars-Gunnar Svensson, 1999. "Strategy-proof allocation of indivisible goods," Social Choice and Welfare, Springer, vol. 16(4), pages 557-567.
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