Skip to main content
SpringerLink
Log in

Existence of pure Nash equilibria in 2-player information diffusion games with strict public preferences

  • Published:
Central European Journal of Operations Research Aims and scope Submit manuscript

Abstract

This paper studies the information diffusion game with a novel extension by incorporating strict public preferences. The existence conditions for pure Nash equilibria in this extended 2-player information diffusion game on six representative types of networks are characterized. Finally, three related experimental results by IDG (Information Diffusion Game) Simulator verifying the characterizations in tree and islands-connections networks are presented.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4

Similar content being viewed by others

References

  • Alon N, Feldman M, Procaccia AD, Tnnenholtz M (2010) A note on competitive diffusion through social networks. Inf Process Lett 110(6):221–225

    Article  Google Scholar 

  • Bulteau L, Froese V, Talmon N (2016) Multi-player diffusion games on graph classes. Internet Math 12(6):363–380

    Article  Google Scholar 

  • Durr C, Thang NK (2007) Nash equilibria in Voronoi games on graphs. In: Proceedings of European symposium on algorithms , vol 15, pp 17–28

  • Enomoto H, Hachimori M, Nakamura S, Shigeno M, Tanaka Y, Tsugami M (2018) Pure-strategy Nash equilibria on competitive diffusion games. Discret Appl Math 244:1–19

    Article  Google Scholar 

  • Etesami SR, Basar T (2014) Complexity of equilibrium in diffusion games on social networks. In: 2014 American control conference, pp 2065–2070

  • Fukuzono N, Hanaka T, Kiya H, Ono H, Yamaguchi R (2020) Two-player competitive diffusion game: graph classes and the existence of a Nash equilibrium. In: Chatzigeorgiou A (ed) SOFSEM 2020: theory and practice of computer science. SOFSEM 2020. Lecture Notes in Computer Science, vol 12011. Springer, Cham, pp 627–635

  • Ito T, Otachi Y, Saitoh T, Satoh H, Suzuki A, Uchizawa K, Uehara R, Yamanaka K, Zhou X (2015) Competitive diffusion on weighted graphs. In: Dehne F, Sack JR, Stege U (eds) Algorithms and data structures. WADS 2015. Lecture Notes in Computer Science, vol 9214. Springer, Cham, pp 422–433

  • Jackson MO (2008) Social and economic networks. Princeton University Press, Princeton, NJ

    Book  Google Scholar 

  • Jiang Y, Jiang JC (2015) Diffusion in social networks: a multiagent perspective. IEEE Trans Syst Man Cybern Syst 45(2):198–213

    Article  Google Scholar 

  • Li T, Shigeno M (2021) Nash equilibria for information diffusion games on weighted cycles and paths. J Oper Res Soc Jpn 64(1):1–11

    Google Scholar 

  • Roshanbin E (2014) The competitive diffusion game in classes of graphs. In: Gu Q, Hell P, Yang B (eds) Algorithmic aspects in information and management. AAIM 2014. Lecture Notes in Computer Science, vol 8546. Springer, Cham, pp 275–287

  • Small L, Mason O (2013) Nash equilibria for competitive information diffusion on tree. Inf Process Lett 113(7):217–219

    Article  Google Scholar 

  • Sukenari Y, Hoki K, Takahashi S, Muramatsu M (2016) Pure Nash equilibria of competitive diffusion process on toroidal grid graphs. Discrete Appl Math 215:31–40

    Article  Google Scholar 

  • Takehara R, Shigeno M (2012) A study on information diffusion game in network. Res Inst Math Sci Rep 1773:132–141

    Google Scholar 

  • Takehara R, Hachimori M, Shigeno M (2012) A comment on pure-strategy Nash equilibria in competitive diffusion games. Inf Process Lett 112(3):59–60

    Article  Google Scholar 

  • Tzoumas V, Amanatidis C, Markakis E (2012) A game-theoretic analysis of a competitive diffusion process over social networks. In: Goldberg PW (ed) Internet and network economics, WINE 2012. Lecture Notes in Computer Science, vol 7695. Springer, Berlin, Heidelberg

  • Yamaguchi R, Ono H (2016) Nash equilibria for competitive diffusion games on weighted cycles. IPSJ SIG Technical Report, pp 1–5

Download references

Author information

Authors and Affiliations

  1. Department of System Management, Fukuoka Institute of Technology, 3-30-1 Wajiro-higashi, Higashi-ku, Fukuoka, 811-0295, Japan

    Jing Fu & Yu Song

  2. Graduate School of Intelligent Information System, Fukuoka Institute of Technology, 3-30-1 Wajiro-higashi, Higashi-ku, Fukuoka, 811-0295, Japan

    Hideyuki Fujii

Authors
  1. Jing Fu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Hideyuki Fujii
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Yu Song
    View author publications

    You can also search for this author in PubMed Google Scholar

Contributions

Fu and Fujii contributed equally to this paper. The theoretical part was mainly contributed by Fu, and the experimental part was mainly contributed by Fujii. Fu wrote the first draft of the manuscript, and Song provided critical feedbacks for the improvement. All authors commented on previous versions of the manuscript, read and approved the final manuscript.

Corresponding author

Correspondence to Jing Fu.

Ethics declarations

Conflict of interest

The authors declare that they have no conflict of interest.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

This work was supported by JSPS KAKENHI Grant Number 19K13662.

A IDG simulation results

A IDG simulation results

Table 1 List of preference order combinations that pure Nash equilibria do not exist in a 10-vertex tree network (2-player)
Full size table
Table 2 List of preference order combinations that pure Nash equilibria do not exist in a 7-vertex islands-connections network (2-player)
Full size table
Table 3 Preference orders in a 5-vertex star network (3-player)
Full size table
Table 4 List of preference order combinations that pure Nash equilibria do not exist in a 5-vertex star network (3-player)
Full size table

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Fu, J., Fujii, H. & Song, Y. Existence of pure Nash equilibria in 2-player information diffusion games with strict public preferences. Cent Eur J Oper Res 31, 109–164 (2023). https://doi.org/10.1007/s10100-022-00801-9

Download citation

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10100-022-00801-9

Keywords

Search

Navigation