The Path of Terror Attacks

This paper derives a dynamic path of ongoing terror attacks as a function of terrorists’ capacity and a target government’s counterterror capacity. The analysis provides several novel insights and characterizations. First, the effect of counterterror policy is limited. Second, proactive counterterror policy affects the depreciation (fatigue) of terrorists’ capacity, and defensive counterterror policy limits the worst-case scenario. Third, fluctuations in the time path of attacks are a function of terrorists’ time preferences and adjustment costs of changing tactics, which are policy invariant. Indeed, in our model, the oscillations of terror attacks occur irrespective of the government’s counterterror stance. Fourth, collective action inefficiencies associated with the underprovision of proactive counterterror policies and overprovision of defensive ones are further exacerbated by our finding that proactive counterterror policy is the more effective of the two. Hence, the more effective policy is underprovided.

[1]  J. George State Failure and Transnational Terrorism , 2018 .

[2]  João Ricardo Faria,et al.  A Vintage Model of Terrorist Organizations , 2012 .

[3]  Daniel G. Arce,et al.  Terrorist training: Onsite or via the Internet? , 2020 .

[4]  J. P. Gould Adjustment Costs in the Theory of Investment of the Firm , 1968 .

[5]  Oded Berman,et al.  Location of terror response facilities: A game between state and terrorist , 2007, Eur. J. Oper. Res..

[6]  Gustav Feichtinger,et al.  Terror and Counterterror Operations: Differential Game with Cyclical Nash Solution , 2008 .

[7]  Kjell Hausken,et al.  Endogenizing the sticks and carrots: modeling possible perverse effects of counterterrorism measures , 2011, Ann. Oper. Res..

[8]  Aniruddha Bagchi,et al.  The Refugee Game: The Relationship between Individual Security Expenditures and Collective Security , 2020, Games.

[9]  Niall J. MacKay,et al.  When Lanchester met Richardson, the outcome was stalemate: A parable for mathematical models of insurgency , 2015, J. Oper. Res. Soc..

[10]  H. Piaggio Generalized Foreign Politics , 1939, Nature.

[11]  Moshe Kress,et al.  Lanchester Models for Irregular Warfare , 2020, Mathematics.

[12]  Kjell Hausken,et al.  Defending Against a Stockpiling Terrorist , 2011 .

[13]  B. Frey,et al.  How to Fight Terrorism: Alternatives to Deterrence , 2003 .

[14]  C. Barros,et al.  Terrorism against American citizens in Africa: Related to poverty? , 2008 .

[15]  João Ricardo Faria,et al.  Intertemporal Versus Spatial Externalities in Counterterror Policy Games , 2017, Dyn. Games Appl..

[16]  Satya P. Das Some mechanisms of terror cycles , 2008 .

[17]  Jonathan P. Caulkins,et al.  Optimizing counter-terror operations: Should one fight fire with "fire" or "water"? , 2008, Comput. Oper. Res..

[18]  Rudolf Avenhaus,et al.  A Review of Richardson Models , 1984 .

[19]  Walter Enders,et al.  A time‐series analysis of transnational terrorism: Trends and cycles , 1992 .

[20]  Peter M. Kort,et al.  Terrorism Control in the Tourism Industry , 2001 .

[21]  J. Faria Public Support and Terrorism: The Putin Paradox , 2008 .

[22]  T. Sandler,et al.  Global Terrorism: Deterrence Versus Pre-Emption , 2006 .

[23]  ALEX MINTZ,et al.  What Happened to Suicide Bombings in Israel? Insights from a Terror Stock Model , 2005 .

[24]  Daniel G. Arce On the Calculus of Counterterror Policy , 2020, Defence and Peace Economics.

[25]  João Ricardo Faria,et al.  Counterterrorism And Its Impact On Terror Support And Recruitment: Accounting For Backlash , 2012 .

[26]  Kjell Hausken,et al.  Whether to attack a terrorist's resource stock today or tomorrow , 2008, Games Econ. Behav..

[27]  George Leitmann,et al.  A DYNAMICAL MODEL OF TERRORISM , 2006 .

[28]  Subhayu Bandyopadhyay,et al.  The Interplay between Preemptive and Defensive Counterterrorism Measures: A Two‐Stage Game , 2008 .

[29]  J. Vittori All Struggles Must End: The Longevity of Terrorist Groups , 2009 .

[30]  E. Mishan What Is the Optimal Level of Pollution? , 1974, Journal of Political Economy.

[31]  Todd Sandler,et al.  Determinants of the Demise of Terrorist Organizations , 2013 .

[32]  C. Müller THE ECONOMICS OF TERRORISM FROM A POLICY‐MAKER’S PERSPECTIVE , 2011 .

[33]  Todd Sandler,et al.  Counterterrorism , 2005 .

[34]  Daniel G. Arce On the human consequences of terrorism , 2018, Public Choice.

[35]  Kjell Hausken,et al.  Defending Against a Terrorist Who Accumulates Resources , 2011 .

[36]  T. Sandler,et al.  Is Transnational Terrorism Becoming More Threatening? , 2000 .

[37]  João Ricardo Faria,et al.  TERROR SUPPORT AND RECRUITMENT , 2005 .