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Power control games for multi-user anti-jamming communications

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Abstract

This paper investigates two different anti-jamming scenarios for wireless networks in which there exist one jammer and multiple users. The jammer jams all the users simultaneously. In one scenario, the users and the jammer sense the opponent’s information, and take appropriate strategies accordingly. This scenario is modeled as a Stackelberg game in which the jammer acts as a leader, and the users act as followers. In another scenario, the users and the jammer take actions simultaneously and the anti-jamming problem is modeled as a static game. The existence and uniqueness of game equilibrium are proved. Closed-form expressions of the Stackelberg equilibrium (SE) and the Nash equilibrium (NE) are derived. Simulation results are presented to validate our theoretical analysis. It is shown that the users’ average utility of the SE is lower than that of the NE since the jammer can reduce the users’ utilities by utilizing the leader advantage to improve its own utility.

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Authors and Affiliations

  1. College of Communications Engineering, Army Engineering University of PLA, Nanjing, 210007, China

    Long Yu, Yuhua Xu, Guoru Ding & Luliang Jia

  2. Nanjing Telecommunication Technology Institute, Nanjing, 210007, China

    Long Yu

  3. Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, China

    Qihui Wu

Authors
  1. Long Yu
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  2. Qihui Wu
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  3. Yuhua Xu
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  4. Guoru Ding
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  5. Luliang Jia
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Corresponding author

Correspondence to Yuhua Xu.

Additional information

This work was supported in part by the Natural Science Foundation for Distinguished Young Scholars of Jiangsu Province under Grant BK20160034, in part by the National Science Foundation of China under Grant 61631020, Grant 61401508, Grant 61671473 and Grant 61401505 , and in part by the Open Research Foundation of Science and Technology on Communication Networks Laboratory.

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Yu, L., Wu, Q., Xu, Y. et al. Power control games for multi-user anti-jamming communications. Wireless Netw 25, 2365–2374 (2019). https://doi.org/10.1007/s11276-018-1664-9

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  • DOI: https://doi.org/10.1007/s11276-018-1664-9

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