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Random scheduling with deadlines under dichotomous preferences

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  • Esmerok, İbrahim Barış

Abstract

A group of individuals share a deterministic server which is capable of serving one job per unit of time. Every individual has a job and a cut off time slot (deadline) where service beyond this slot is as worthless as not getting any service at all. Individuals are indifferent between slots which are not beyond their deadlines (compatible slots). A schedule (possibly random) assigns the set of slots to individuals by respecting their deadlines. We only consider the class of problems where for every set of relevant slots (compatible with at least one individual) there are at least as many individuals who have a compatible slot in that set: we ignore the case of underdemand. For this class, we characterize the random scheduling rule which attaches uniform probability to every efficient deterministic schedule (efficient uniform rule) by Pareto efficiency, equal treatment of equals, and probabilistic consistency (Chambers, 2004). We also show that a weaker version of the probabilistic consistency axiom is enough to achieve our result. Finally we show that efficient uniform rule is strategyproof.

Suggested Citation

  • Esmerok, İbrahim Barış, 2015. "Random scheduling with deadlines under dichotomous preferences," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 96-103.
    • Handle: RePEc:eee:mateco:v:61:y:2015:i:c:p:96-103
    DOI: 10.1016/j.jmateco.2015.08.001
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    References listed on IDEAS

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    1. Hervé Crès & Hervé Moulin, 2001. "Scheduling with Opting Out: Improving upon Random Priority," Operations Research, INFORMS, vol. 49(4), pages 565-577, August.
    2. Chambers, Christopher P., 2004. "Consistency in the probabilistic assignment model," Journal of Mathematical Economics, Elsevier, vol. 40(8), pages 953-962, December.
    3. 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.
    4. Anna Bogomolnaia & Herve Moulin, 2004. "Random Matching Under Dichotomous Preferences," Econometrica, Econometric Society, vol. 72(1), pages 257-279, January.
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