Behavioral Minimax Regret for Security Games and Its Application for UAV Planning

Research on Stackelberg Security Games (SSG) has recently shifted to green security domains, e.g., protecting wildlife from illegal poaching. Previous research on this topic has advocated the use of behavioral (bounded rationality) models of adversaries in SSG. As its first contribution, this paper, for the first time, provides validation of these behavioral models based on real-world data from a wildlife park. The paper’s next contribution is the first algorithm to handle payoff uncertainty – an important concern in green security domains – in the presence of such adversary behavioral models. Finally, given the availability of mobile sensors such as Unmanned Aerial Vehicles in green security domains, as our third contribution, we introduce new payoff elicitation strategies to strategically reduce uncertainty over multiple targets at a time.

[1]  Milind Tambe,et al.  Addressing Scalability and Robustness in Security Games with Multiple Boundedly Rational Adversaries , 2014, GameSec.

[2]  Milind Tambe,et al.  Robust Protection of Fisheries with COmPASS , 2014, AAAI.

[3]  E. Stokes,et al.  Improving effectiveness of protection efforts in tiger source sites: Developing a framework for law enforcement monitoring using MIST. , 2010, Integrative zoology.

[4]  Amos Azaria,et al.  Analyzing the Effectiveness of Adversary Modeling in Security Games , 2013, AAAI.

[5]  Bo An,et al.  PROTECT: a deployed game theoretic system to protect the ports of the United States , 2012, AAMAS.

[6]  Yoav Shoham,et al.  Run the GAMUT: a comprehensive approach to evaluating game-theoretic algorithms , 2004, Proceedings of the Third International Joint Conference on Autonomous Agents and Multiagent Systems, 2004. AAMAS 2004..

[7]  R. Wilcox Applying Contemporary Statistical Techniques , 2003 .

[8]  Benjamin Van Roy,et al.  On Constraint Sampling in the Linear Programming Approach to Approximate Dynamic Programming , 2004, Math. Oper. Res..

[9]  Nicola Basilico,et al.  Leader-follower strategies for robotic patrolling in environments with arbitrary topologies , 2009, AAMAS.

[10]  D. McFadden Conditional logit analysis of qualitative choice behavior , 1972 .

[11]  R. McKelvey,et al.  Quantal Response Equilibria for Normal Form Games , 1995 .

[12]  Rong Yang,et al.  Adaptive resource allocation for wildlife protection against illegal poachers , 2014, AAMAS.

[13]  Dirk Van Oudheusden,et al.  The orienteering problem: A survey , 2011, Eur. J. Oper. Res..

[14]  Milind Tambe,et al.  TRUSTS: Scheduling Randomized Patrols for Fare Inspection in Transit Systems , 2012, IAAI.

[15]  Craig Boutilier,et al.  Assessing regret-based preference elicitation with the UTPREF recommendation system , 2010, EC '10.

[16]  Vincent Conitzer,et al.  Complexity of Computing Optimal Stackelberg Strategies in Security Resource Allocation Games , 2010, AAAI.

[17]  Vladik Kreinovich,et al.  Security games with interval uncertainty , 2013, AAMAS.

[18]  Juliane Hahn,et al.  Security And Game Theory Algorithms Deployed Systems Lessons Learned , 2016 .

[19]  Bo An,et al.  Regret-Based Optimization and Preference Elicitation for Stackelberg Security Games with Uncertainty , 2014, AAAI.

[20]  S. French,et al.  Decision Theory: An Introduction to the Mathematics of Rationality. , 1988 .

[21]  Craig Boutilier,et al.  Constraint-based optimization and utility elicitation using the minimax decision criterion , 2006, Artif. Intell..

[22]  Yevgeniy Vorobeychik,et al.  Computing Randomized Security Strategies in Networked Domains , 2011, Applied Adversarial Reasoning and Risk Modeling.

[23]  Rong Yang,et al.  Computing optimal strategy against quantal response in security games , 2012, AAMAS.