skip to main content
10.1145/3411408.3411412acmotherconferencesArticle/Chapter ViewAbstractPublication PagessetnConference Proceedingsconference-collections
research-article

Hedonic Utility Games

Published:02 September 2020Publication History

ABSTRACT

We initiate the study of a novel class of cooperative games, the Hedonic Utility Games (HUGs), that takes into consideration both hedonic and utility-related preferences. We first formally define HUGs, and show how to extend and apply existing stability solution concepts to them. Then, we put forward the novel Individually Rational - Individually Stable (IRIS) solution concept, developed specifically for HUGs, that characterizes the stability of coalition structures in such settings. In addition, we propose a natural, “trichotomous” hedonic preferences model; study certain HUGs’ properties in that model; and exploit it to characterize the feasibility of HUGs coalitions, and to obtain a probability bound for pruning the coalitional space, thus reducing the computational load of computing kernel-stable payoff configurations for IRIS partitions.

References

  1. KRZYSZTOF R. APT and ANDREAS WITZEL. 2009. A GENERIC APPROACH TO COALITION FORMATION. International Game Theory Review 11, 03 (2009), 347–367. https://doi.org/10.1142/S0219198909002352 arXiv:https://doi.org/10.1142/S0219198909002352Google ScholarGoogle ScholarCross RefCross Ref
  2. Robert J. Aumann, Bazalel Peleg, and Paul Robinowitz. 1965. A Method for Computing the Kernel of n-Person Games. Mathematical Computation 19 (1965), 531–551.Google ScholarGoogle Scholar
  3. Haris Aziz, Felix Brandt, and Paul Harrenstein. 2014. Fractional Hedonic Games. In Proceedings of the 2014 International Conference on Autonomous Agents and Multi-agent Systems (Paris, France) (AAMAS ’14). International Foundation for Autonomous Agents and Multiagent Systems, Richland, SC, 5–12.Google ScholarGoogle ScholarDigital LibraryDigital Library
  4. Haris Aziz, Paul Harrenstein, Jérôme Lang, and Michael Wooldridge. 2016. Boolean Hedonic Games. In Fifteenth International Conference on Principles of Knowledge Representation and Reasoning (KR). 166–175.Google ScholarGoogle Scholar
  5. Haris Aziz, Rahul Savani, and Hervé Moulin. 2016. Hedonic Games. In Handbook of Computational Social Choice, Felix Brandt, Vincent Conitzer, Ulle Endriss, Jérôme Lang, and Ariel D.Editors Procaccia (Eds.). Cambridge University Press, 356–376.Google ScholarGoogle Scholar
  6. Coralio Ballester. 2004. NP-completeness in hedonic games. Games and Economic Behavior 49, 1 (2004), 1 – 30. https://doi.org/10.1016/j.geb.2003.10.003Google ScholarGoogle ScholarCross RefCross Ref
  7. Filippo Bistaffa, Alessandro Farinelli, Georgios Chalkiadakis, and Sarvapali D. Ramchurn. 2017. A cooperative game-theoretic approach to the social ridesharing problem. Artificial Intelligence 246 (2017), 86 – 117.Google ScholarGoogle ScholarCross RefCross Ref
  8. Anna Bogomolnaia and Matthew O. Jackson. 2002. The Stability of Hedonic Coalition Structures. Games and Economic Behavior 38, 2 (2002), 201 – 230.Google ScholarGoogle ScholarCross RefCross Ref
  9. Georgios Chalkiadakis, Edith Elkind, and Michael Wooldridge. 2011. Computational Aspects of Cooperative Game Theory (Synthesis Lectures on Artificial Inetlligence and Machine Learning)(1st ed.). Morgan & Claypool Publishers.Google ScholarGoogle Scholar
  10. Morton Davis and Michael Maschler. 1963. The kernel of a cooperative game. Naval Research Logistics Quarterly 12, 3 (1963), 223–259.Google ScholarGoogle ScholarCross RefCross Ref
  11. Jacques H. Dréze and Jerald Greenberg. 1980. Hedonic Coalitions: Optimality and Stability. Econometrica 48, 4 (1980), 987–1003.Google ScholarGoogle ScholarCross RefCross Ref
  12. Gabriele Eichfelder. 2014. Numerical Procedures in Multiobjective Optimization with Variable Ordering Structures. Journal of Optimization Theory and Applications 162, 2 (01 Aug 2014), 489–514. https://doi.org/10.1007/s10957-013-0267-yGoogle ScholarGoogle ScholarDigital LibraryDigital Library
  13. Gabriele Eichfelder and Tobias Gerlach. 2016. Characterization of properly optimal elements with variable ordering structures. Optimization 65, 3 (2016), 571–588. https://doi.org/10.1080/02331934.2015.1040793 arXiv:https://doi.org/10.1080/02331934.2015.1040793Google ScholarGoogle ScholarCross RefCross Ref
  14. Athina Georgara, Dimitrios Troullinos, and Georgios Chalkiadakis. 2019. Extracting hidden preferences over partitions in hedonic cooperative games. In Proc. of the 12th Knowledge Science Engineering Management (KSEM 19).Google ScholarGoogle ScholarCross RefCross Ref
  15. Tomasz P. Michalak, Andrew Dowell, Peter McBurney, and Michael Wooldridge. 2008. Optimal Coalition Structure Generation In Partition Function Games. 388–392. https://doi.org/10.3233/978-1-58603-891-5-388Google ScholarGoogle Scholar
  16. Michael Mitzenmacher and Eli Upfal. 2005. Probability and Computing: Randomized Algorithms and Probabilistic Analysis. Cambridge University Press.Google ScholarGoogle Scholar
  17. Dominik Peters. 2016. Complexity of Hedonic Games with Dichotomous Preferences. In AAAI.Google ScholarGoogle Scholar
  18. David Schmeidler. 1969. The Nucleolus of a Characteristic Function Game. SIAM J. Appl. Math. 17, 6 (1969), 1163–1170.Google ScholarGoogle ScholarDigital LibraryDigital Library
  19. Onn Shehory and Sarit Kraus. 1999. Feasible Formation of Coalitions Among Autonomous Agents in Non-Super-Additive Environments.Google ScholarGoogle Scholar
  20. Jakub Sliwinski and Yair Zick. 2017. Learning Hedonic Games. In Proceedings of the Twenty-Sixth International Joint Conference on Artificial Intelligence, IJCAI-17. 2730–2736.Google ScholarGoogle ScholarCross RefCross Ref
  21. Richard E. Stearns. 1968. Convergent Transfer Schemes for N-Person Games. Trans. Amer. Math. Soc. 134, 3 (1968), 449–459.Google ScholarGoogle Scholar
  22. J. Zhao. 1991. The equilibria of a multiple objective game. International Journal of Game Theory 20, 2 (01 Jun 1991), 171–182.Google ScholarGoogle ScholarCross RefCross Ref

Recommendations

Comments

Login options

Check if you have access through your login credentials or your institution to get full access on this article.

Sign in
  • Published in

    cover image ACM Other conferences
    SETN 2020: 11th Hellenic Conference on Artificial Intelligence
    September 2020
    249 pages

    Copyright © 2020 ACM

    Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

    Publisher

    Association for Computing Machinery

    New York, NY, United States

    Publication History

    • Published: 2 September 2020

    Permissions

    Request permissions about this article.

    Request Permissions

    Check for updates

    Qualifiers

    • research-article
    • Research
    • Refereed limited
  • Article Metrics

    • Downloads (Last 12 months)9
    • Downloads (Last 6 weeks)4

    Other Metrics

PDF Format

View or Download as a PDF file.

PDF

eReader

View online with eReader.

eReader

HTML Format

View this article in HTML Format .

View HTML Format