Bandwidth scanning when the rivals are subjective

Andrey Garnaev, Wade Trappe

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this paper we consider how subjectivity affects the problem of scanning spectrum bands, and the impact on both the scanner and invader's strategy. To model such subjective behavior, we formulate a prospect theoretical (PT) extension of the Bayesian bandwidth scanning game where the Scanner knows only a priori probabilities about what type of intrusion (e.g. regular intensity or low intensity) occurs in the spectrum bands. Existence and uniqueness of the PT Bayesian equilibrium is proven. Moreover, these PT Bayesian equilibrium strategies are derived in closed form as functions of the detection probabilities associated with different invader types. Waterfilling equations are derived, which allows one to determine these detection probabilities. Bands where the Invader's strategies have band-sharing form are identified. The sensitivity of the strategies to the subjective factors and a priori probabilities are numerically illustrated.

Original languageEnglish (US)
Title of host publicationGame Theory for Networks - 8th International EAI Conference, GameNets 2019, Proceedings
EditorsKonstantin Avrachenkov, Longbo Huang, Jason R. Marden, Marceau Coupechoux, Anastasios Giovanidis
PublisherSpringer Verlag
Pages9-28
Number of pages20
ISBN (Print)9783030169886
DOIs
StatePublished - Jan 1 2019
Event8th EAI International Conference on Game Theory for Networks, GameNets 2019 - Paris, France
Duration: Apr 25 2019Apr 26 2019

Publication series

NameLecture Notes of the Institute for Computer Sciences, Social-Informatics and Telecommunications Engineering, LNICST
Volume277
ISSN (Print)1867-8211

Conference

Conference8th EAI International Conference on Game Theory for Networks, GameNets 2019
CountryFrance
CityParis
Period4/25/194/26/19

    Fingerprint

All Science Journal Classification (ASJC) codes

  • Computer Networks and Communications

Keywords

  • Bandwidth scanning
  • Bayesian equilibrium
  • Prospect theory

Cite this

Garnaev, A., & Trappe, W. (2019). Bandwidth scanning when the rivals are subjective. In K. Avrachenkov, L. Huang, J. R. Marden, M. Coupechoux, & A. Giovanidis (Eds.), Game Theory for Networks - 8th International EAI Conference, GameNets 2019, Proceedings (pp. 9-28). (Lecture Notes of the Institute for Computer Sciences, Social-Informatics and Telecommunications Engineering, LNICST; Vol. 277). Springer Verlag. https://doi.org/10.1007/978-3-030-16989-3_2