Manipulations in two-agent sequential allocation with random sequences

Yuto Tominaga, Taiki Todov, Makoto Yokoo

研究成果: 著書/レポートタイプへの貢献会議での発言

2 引用 (Scopus)

抄録

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.

元の言語英語
ホスト出版物のタイトルAAMAS 2016 - Proceedings of the 2016 International Conference on Autonomous Agents and Multiagent Systems
出版者International Foundation for Autonomous Agents and Multiagent Systems (IFAAMAS)
ページ141-149
ページ数9
ISBN(電子版)9781450342391
出版物ステータス出版済み - 1 1 2016
イベント15th International Conference on Autonomous Agents and Multiagent Systems, AAMAS 2016 - Singapore, シンガポール
継続期間: 5 9 20165 13 2016

出版物シリーズ

名前Proceedings of the International Joint Conference on Autonomous Agents and Multiagent Systems, AAMAS
ISSN(印刷物)1548-8403
ISSN(電子版)1558-2914

その他

その他15th International Conference on Autonomous Agents and Multiagent Systems, AAMAS 2016
シンガポール
Singapore
期間5/9/165/13/16

Fingerprint

Manipulators
Computational complexity
Polynomials

All Science Journal Classification (ASJC) codes

  • Artificial Intelligence
  • Software
  • Control and Systems Engineering

これを引用

Tominaga, Y., Todov, T., & Yokoo, M. (2016). Manipulations in two-agent sequential allocation with random sequences. : 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).

Manipulations in two-agent sequential allocation with random sequences. / Tominaga, Yuto; Todov, Taiki; Yokoo, Makoto.

AAMAS 2016 - Proceedings of the 2016 International Conference on Autonomous Agents and Multiagent Systems. International Foundation for Autonomous Agents and Multiagent Systems (IFAAMAS), 2016. p. 141-149 (Proceedings of the International Joint Conference on Autonomous Agents and Multiagent Systems, AAMAS).

研究成果: 著書/レポートタイプへの貢献会議での発言

Tominaga, Y, Todov, T & Yokoo, M 2016, Manipulations in two-agent sequential allocation with random sequences. : AAMAS 2016 - Proceedings of the 2016 International Conference on Autonomous Agents and Multiagent Systems. Proceedings of the International Joint Conference on Autonomous Agents and Multiagent Systems, AAMAS, International Foundation for Autonomous Agents and Multiagent Systems (IFAAMAS), pp. 141-149, 15th International Conference on Autonomous Agents and Multiagent Systems, AAMAS 2016, Singapore, シンガポール, 5/9/16.
Tominaga Y, Todov T, Yokoo M. Manipulations in two-agent sequential allocation with random sequences. : AAMAS 2016 - Proceedings of the 2016 International Conference on Autonomous Agents and Multiagent Systems. International Foundation for Autonomous Agents and Multiagent Systems (IFAAMAS). 2016. p. 141-149. (Proceedings of the International Joint Conference on Autonomous Agents and Multiagent Systems, AAMAS).
Tominaga, Yuto ; Todov, Taiki ; Yokoo, Makoto. / Manipulations in two-agent sequential allocation with random sequences. AAMAS 2016 - Proceedings of the 2016 International Conference on Autonomous Agents and Multiagent Systems. International Foundation for Autonomous Agents and Multiagent Systems (IFAAMAS), 2016. pp. 141-149 (Proceedings of the International Joint Conference on Autonomous Agents and Multiagent Systems, AAMAS).
@inproceedings{27b2eb26c73b4831b443526f52d6265c,
title = "Manipulations in two-agent sequential allocation with random sequences",
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.",
author = "Yuto Tominaga and Taiki Todov and Makoto Yokoo",
year = "2016",
month = "1",
day = "1",
language = "English",
series = "Proceedings of the International Joint Conference on Autonomous Agents and Multiagent Systems, AAMAS",
publisher = "International Foundation for Autonomous Agents and Multiagent Systems (IFAAMAS)",
pages = "141--149",
booktitle = "AAMAS 2016 - Proceedings of the 2016 International Conference on Autonomous Agents and Multiagent Systems",

}

TY - GEN

T1 - Manipulations in two-agent sequential allocation with random sequences

AU - Tominaga, Yuto

AU - Todov, Taiki

AU - Yokoo, Makoto

PY - 2016/1/1

Y1 - 2016/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85014144012&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85014144012&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:85014144012

T3 - Proceedings of the International Joint Conference on Autonomous Agents and Multiagent Systems, AAMAS

SP - 141

EP - 149

BT - AAMAS 2016 - Proceedings of the 2016 International Conference on Autonomous Agents and Multiagent Systems

PB - International Foundation for Autonomous Agents and Multiagent Systems (IFAAMAS)

ER -