IDEAS home Printed from https://ideas.repec.org/p/arx/papers/2411.05574.html
   My bibliography  Save this paper

Parameterized Voter Relevance in Facility Location Games with Tree-Shaped Invitation Graphs

Author

Listed:
  • Ryoto Ando
  • Kei Kimura
  • Taiki Todo
  • Makoto Yokoo

Abstract

Diffusion mechanism design, which investigate how to incentivise agents to invite as many colleagues to a multi-agent decision making as possible, is a new research paradigm at the intersection between microeconomics and computer science. In this paper we extend traditional facility location games into the model of diffusion mechanism design. Our objective is to completely understand to what extent of anonymity/voter-relevance we can achieve, along with strategy-proofness and Pareto efficiency when voters strategically invite collegues. We define a series of anonymity properties applicable to the diffusion mechanism design model, as well as parameterized voter-relevance properties for guaranteeing reasonably-fair decision making. We obtained two impossibility theorems and two existence theorems, which partially answer the question we have raised in the beginning of the paper

Suggested Citation

  • Ryoto Ando & Kei Kimura & Taiki Todo & Makoto Yokoo, 2024. "Parameterized Voter Relevance in Facility Location Games with Tree-Shaped Invitation Graphs," Papers 2411.05574, arXiv.org, revised Nov 2024.
    • Handle: RePEc:arx:papers:2411.05574
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/2411.05574
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Noga Alon & Michal Feldman & Ariel D. Procaccia & Moshe Tennenholtz, 2010. "Strategyproof Approximation of the Minimax on Networks," Mathematics of Operations Research, INFORMS, vol. 35(3), pages 513-526, August.
    2. Ron Lavi & Ahuva Mu’alem & Noam Nisan, 2009. "Two simplified proofs for Roberts’ theorem," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 32(3), pages 407-423, March.
    3. H. Moulin, 1980. "On strategy-proofness and single peakedness," Public Choice, Springer, vol. 35(4), pages 437-455, January.
    4. Shengwu Li, 2017. "Obviously Strategy-Proof Mechanisms," American Economic Review, American Economic Association, vol. 107(11), pages 3257-3287, November.
    5. Schummer, James & Vohra, Rakesh V., 2002. "Strategy-proof Location on a Network," Journal of Economic Theory, Elsevier, vol. 104(2), pages 405-428, June.
    6. Jeong, Seungwon (Eugene) & Lee, Joosung, 2024. "The groupwise-pivotal referral auction: Core-selecting referral strategy-proof mechanism," Games and Economic Behavior, Elsevier, vol. 143(C), pages 191-203.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Lili Mei & Deshi Ye & Yong Zhang, 2018. "Approximation strategy-proof mechanisms for obnoxious facility location on a line," Journal of Combinatorial Optimization, Springer, vol. 36(2), pages 549-571, August.
    2. Takashi Kurihara & Koichi Suga, 2020. "Decision–making on public facility location by using social choice rules with a deliberative suggestion," Working Papers 1924, Waseda University, Faculty of Political Science and Economics.
    3. Itai Feigenbaum & Jay Sethuraman & Chun Ye, 2017. "Approximately Optimal Mechanisms for Strategyproof Facility Location: Minimizing L p Norm of Costs," Mathematics of Operations Research, INFORMS, vol. 42(2), pages 434-447, May.
    4. Michel Breton & Vera Zaporozhets, 2009. "On the equivalence of coalitional and individual strategy-proofness properties," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 33(2), pages 287-309, August.
    5. Bochet, Olivier & Sakai, Toyotaka & Thomson, William, 2024. "Preference manipulations lead to the uniform rule," Journal of Economic Theory, Elsevier, vol. 220(C).
    6. repec:spo:wpmain:info:hdl:2441/4ccevsvsdm96qpv5fgamlf1p1p is not listed on IDEAS
    7. Barberà, Salvador & Berga, Dolors & Moreno, Bernardo, 2010. "Individual versus group strategy-proofness: When do they coincide?," Journal of Economic Theory, Elsevier, vol. 145(5), pages 1648-1674, September.
    8. Chatterji, Shurojit & Zeng, Huaxia, 2023. "A taxonomy of non-dictatorial unidimensional domains," Games and Economic Behavior, Elsevier, vol. 137(C), pages 228-269.
    9. Sidartha Gordon, 2015. "Unanimity in attribute-based preference domains," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(1), pages 13-29, January.
    10. Bossert, Walter & Sprumont, Yves, 2014. "Strategy-proof preference aggregation: Possibilities and characterizations," Games and Economic Behavior, Elsevier, vol. 85(C), pages 109-126.
    11. Alcalde-Unzu, Jorge & Vorsatz, Marc, 2018. "Strategy-proof location of public facilities," Games and Economic Behavior, Elsevier, vol. 112(C), pages 21-48.
    12. Chatterji, Shurojit & Sanver, Remzi & Sen, Arunava, 2013. "On domains that admit well-behaved strategy-proof social choice functions," Journal of Economic Theory, Elsevier, vol. 148(3), pages 1050-1073.
    13. Núñez, Matías & Pimienta, Carlos & Xefteris, Dimitrios, 2022. "On the implementation of the median," Journal of Mathematical Economics, Elsevier, vol. 99(C).
    14. Mihir Bhattacharya & Ojasvi Khare, 2024. "Strategy-proof interval-social choice correspondences over extended single-peaked domains," International Journal of Game Theory, Springer;Game Theory Society, vol. 53(3), pages 893-911, September.
    15. Sidartha Gordon, 2014. "Unanimity in Attribute-Based Preference Domains," SciencePo Working papers Main hal-01061994, HAL.
    16. Stergios Athanasoglou & Somouaoga Bonkoungou & Lars Ehlers, 2023. "Strategy-proof preference aggregation and the anonymity-neutrality tradeoff," Working Papers 519, University of Milano-Bicocca, Department of Economics, revised Apr 2025.
    17. repec:spo:wpecon:info:hdl:2441/4ccevsvsdm96qpv5fgamlf1p1p is not listed on IDEAS
    18. Masashi Umezawa, 2012. "The replacement principle for the provision of multiple public goods on tree networks," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 38(2), pages 211-235, February.
    19. Madhuparna Karmokar & Souvik Roy & Ton Storcken, 2021. "Necessary and sufficient conditions for pairwise majority decisions on path-connected domains," Theory and Decision, Springer, vol. 91(3), pages 313-336, October.
    20. Chatterji, Shurojit & Sen, Arunava & Zeng, Huaxia, 2016. "A characterization of single-peaked preferences via random social choice functions," Theoretical Economics, Econometric Society, vol. 11(2), May.
    21. Ehlers, Lars, 2001. "Independence axioms for the provision of multiple public goods as options," Mathematical Social Sciences, Elsevier, vol. 41(2), pages 239-250, March.
    22. Yukun Cheng & Qiaoming Han & Wei Yu & Guochuan Zhang, 2019. "Strategy-proof mechanisms for obnoxious facility game with bounded service range," Journal of Combinatorial Optimization, Springer, vol. 37(2), pages 737-755, February.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:arx:papers:2411.05574. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.