Manipulations in two-agent sequential allocation with random sequences

Yuto Tominaga, Taiki Todov, Makoto Yokoo

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

2 Citations (Scopus)

Abstract

Sequential allocation is one of the most fundamental models for allocating indivisible items to agents in a decentralized manner, in which agents sequentially pick their favorite items among the remainder based on a pre-defined priority ordering of agents (a sequence). In recent years, algorithmic issues about agents' manipulations have also been investigated, such as the computational complexity of verifying whether a given bundle of items is achievable and maximizing one's utility under a given additive utility function. In this paper we consider a slightly modified model, where the selection process is divided into rounds, each agent obtains exactly one item in each round, and the sequence per round is determined uniformly at random. It is natural to expect that finding a profitable manipulation is difficult even for the case of two agents, since a manipulator must consider exponentially many possible sequences with respect to the number of rounds due to randomization. To our surprise, however, an optimal manipulation can be computed without any exploration for exponentially decaying utilities. Furthermore, for general additive utilities, although some exploration is required, it can still be done in polynomial time with respect to the number of rounds.

Original languageEnglish
Title of host publicationAAMAS 2016 - Proceedings of the 2016 International Conference on Autonomous Agents and Multiagent Systems
PublisherInternational Foundation for Autonomous Agents and Multiagent Systems (IFAAMAS)
Pages141-149
Number of pages9
ISBN (Electronic)9781450342391
Publication statusPublished - Jan 1 2016
Event15th International Conference on Autonomous Agents and Multiagent Systems, AAMAS 2016 - Singapore, Singapore
Duration: May 9 2016May 13 2016

Publication series

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

Other

Other15th International Conference on Autonomous Agents and Multiagent Systems, AAMAS 2016
CountrySingapore
CitySingapore
Period5/9/165/13/16

All Science Journal Classification (ASJC) codes

  • Artificial Intelligence
  • Software
  • Control and Systems Engineering

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  • Cite this

    Tominaga, Y., Todov, T., & Yokoo, M. (2016). Manipulations in two-agent sequential allocation with random sequences. In AAMAS 2016 - Proceedings of the 2016 International Conference on Autonomous Agents and Multiagent Systems (pp. 141-149). (Proceedings of the International Joint Conference on Autonomous Agents and Multiagent Systems, AAMAS). International Foundation for Autonomous Agents and Multiagent Systems (IFAAMAS).