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

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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.

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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
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  2. Hideyuki Fujii
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  3. Yu Song
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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.

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The authors declare that they have no conflict of interest.

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

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

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