Extended Random Assignment Mechanisms on a Family of Good Sets

Yoshio Sano () and Ping Zhan
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Yoshio Sano: University of Tsukuba

SN Operations Research Forum, 2021, vol. 2, issue 4, 1-30

Abstract: Abstract For the problem of allocating indivisible goods to agents, we recently generalized the probabilistic serial (PS) mechanism proposed by Bogomolnaia and Moulin (J Econ Theory 100(2):295–328, 2001). We generalized the constraints with the fixed quota on each good to a set of inequality constraints induced by a polytope called polymatroid (Fujishige et al. in ACM Trans Econ Comput 6(1):1–28, 2018. https://doi.org/10.1145/3175496 ; Math Program 178(1–2):485–501, 2019). The main contribution of this paper was to extend the previous mechanism to allow indifference among goods. We show that the extended PS mechanism is ordinally efficient and envy-free. We also characterize the mechanism by lexicographic optimization. Finally, a lottery, an integral decomposition mechanism is outlined.

Keywords: Probabilistic serial mechanism; Ordinal preference; Polymatroids; Independent flows; Submodular optimization; Integral decomposition (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s43069-021-00095-8

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