To communicate or to scan: Prospect theory extension of a stochastic game

Andrey Garnaev, Wade Trappe, Athina Petropulu

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

Abstract

In this paper, we consider the problem of how a joint radar and communication system should divide its effort between supporting the radar and communication objectives when the system operates in an environment with hostile interference. In our model, we consider that the radar mode also represents a threat to the adversary since, while in this this mode, the adversary might be detected and eliminated. We model the problem by a stochastic game (SG) involving the joint radar/communication system and a jammer. To explore how irrational behavior by the rivals can affect the equilibrium strategies we formulate a Prospect Theory (PT) extension of the SG, which includes the solution of the original SG as boundary case. The stationary PT equilibrium strategies are found in closed form, and uniqueness of PT solution is proven.

Original languageEnglish (US)
Title of host publication2018 IEEE Global Conference on Signal and Information Processing, GlobalSIP 2018 - Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1301-1305
Number of pages5
ISBN (Electronic)9781728112954
DOIs
StatePublished - Feb 20 2019
Event2018 IEEE Global Conference on Signal and Information Processing, GlobalSIP 2018 - Anaheim, United States
Duration: Nov 26 2018Nov 29 2018

Publication series

Name2018 IEEE Global Conference on Signal and Information Processing, GlobalSIP 2018 - Proceedings

Conference

Conference2018 IEEE Global Conference on Signal and Information Processing, GlobalSIP 2018
Country/TerritoryUnited States
CityAnaheim
Period11/26/1811/29/18

All Science Journal Classification (ASJC) codes

  • Information Systems
  • Signal Processing

Keywords

  • Jamming
  • Prospect theory
  • Stationary equilibrium
  • Stochastic game

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