Student-project-resource matching-aiiocation problems: Two-sided matching meets resource allocation

Anisse Ismaili, Kentaro Yahiro, Tomoaki Yamaguchi, Makoto Yokoo

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

We consider a student-project-resource matching-allocation problem, in which students (resp. resources) are matched (resp. allocated) to projects. A project's capacity for students is endogenously determined by the resources allocated to it. Traditionally, (1) resources are allocated to projects based on some expectations, and then (2) students are matched with projects based on the capacities determined by (1). Although resource allocation and two-sided matching are well-understood, unless the expectations used in the first problem are correct, we obtain a suboptimal outcome. Thus, it is desirable to solve this problem as a whole without dividing it. In this paper, we show that finding a nonwasteful matching is FPNP [log]-hard, and that deciding whether a stable matching (i.e. nonwasteful and fair) exists is NPNP-complete. We also show that no strategyproof mechanism can satisfy fairness and very weak efficiency requirements. Then, we develop a new strategyproof mechanism, called Sample and Vote Deferred Acceptance (SVDA), that strikes a good balance between fairness and efficiency.

Original languageEnglish
Title of host publication18th International Conference on Autonomous Agents and Multiagent Systems, AAMAS 2019
PublisherInternational Foundation for Autonomous Agents and Multiagent Systems (IFAAMAS)
Pages2033-2035
Number of pages3
ISBN (Electronic)9781510892002
Publication statusPublished - 2019
Event18th International Conference on Autonomous Agents and Multiagent Systems, AAMAS 2019 - Montreal, Canada
Duration: May 13 2019May 17 2019

Publication series

NameProceedings of the International Joint Conference on Autonomous Agents and Multiagent Systems, AAMAS
Volume4
ISSN (Print)1548-8403
ISSN (Electronic)1558-2914

Conference

Conference18th International Conference on Autonomous Agents and Multiagent Systems, AAMAS 2019
CountryCanada
CityMontreal
Period5/13/195/17/19

All Science Journal Classification (ASJC) codes

  • Artificial Intelligence
  • Software
  • Control and Systems Engineering

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