eprintid: 13857 rev_number: 10 eprint_status: archive userid: 5 dir: disk0/00/01/38/57 datestamp: 2016-10-03 09:40:07 lastmod: 2021-08-27 17:27:50 status_changed: 2016-10-03 09:40:07 type: article metadata_visibility: show item_issues_count: 1 creators_name: Wrzaczek, S. creators_name: Kaplan, E.H. creators_name: Caulkins, J.P. creators_name: Seidl, A. creators_name: Feichtinger, G. creators_id: 1555 title: Differential Terror Queue Games ispublished: pub divisions: prog_asa keywords: counter-terrorism; differential games;queues; intelligence abstract: We present models of differential terror queue games, wherein terrorists seek to determine optimal attack rates over time, while simultaneously the government develops optimal counterterror staffing levels. The number of successful and interdicted terror attacks is determined via an underlying dynamic terror queue model. Different information structures and commitment abilities derive from different assumptions regarding what the players in the game can and cannot deduce about the underlying model. We compare and explain the impact of different information structures, i.e., open loop, closed loop, and asymmetric. We characterize the optimal controls for both the terrorists and the government in terms of the associated state and costate variables and deduce the costate equations that must be solved numerically to yield solutions to the game for the different cases. Using recently assembled data describing both terror attack and staffing levels, we compare the differential game models to each other as well as to the optimal control model of Seidl et al. (Eur J Oper Res 248:246–256, 2016). The paper concludes with a discussion of the lessons learned from the entire modeling exercise. date: 2017-12-01 date_type: published publisher: Springer USA id_number: 10.1007/s13235-016-0195-1 creators_browse_id: 2589 full_text_status: none publication: Dynamic Games and Applications volume: 7 number: 4 pagerange: 578-593 refereed: TRUE issn: 2153-0785 funders: This research was supported by the Austrian Science Fund (FWF) under Grants P25979-N25 and P25275-G11 coversheets_dirty: FALSE fp7_project: no fp7_type: info:eu-repo/semantics/article citation: Wrzaczek, S., Kaplan, E.H., Caulkins, J.P., Seidl, A., & Feichtinger, G. (2017). Differential Terror Queue Games. Dynamic Games and Applications 7 (4) 578-593. 10.1007/s13235-016-0195-1 .