224 Pages 42 B/W Illustrations
    by Chapman & Hall

    224 Pages 42 B/W Illustrations
    by Chapman & Hall

    Winner of the 2017 De Groot Prize awarded by the International Society for Bayesian Analysis (ISBA)

    A relatively new area of research, adversarial risk analysis (ARA) informs decision making when there are intelligent opponents and uncertain outcomes. Adversarial Risk Analysis develops methods for allocating defensive or offensive resources against intelligent adversaries. Many examples throughout illustrate the application of the ARA approach to a variety of games and strategic situations.

  • Focuses on the recent subfield of decision analysis, ARA

  • Compares ideas from decision theory and game theory

  • Uses multi-agent influence diagrams (MAIDs) throughout to help readers visualize complex information structures

  • Applies the ARA approach to simultaneous games, auctions, sequential games, and defend-attack games

  • Contains an extended case study based on a real application in railway security, which provides a blueprint for how to perform ARA in similar security situations

  • Includes exercises at the end of most chapters, with selected solutions at the back of the book

  • The book shows decision makers how to build Bayesian models for the strategic calculation of their opponents, enabling decision makers to maximize their expected utility or minimize their expected loss. This new approach to risk analysis asserts that analysts should use Bayesian thinking to describe their beliefs about an opponent’s goals, resources, optimism, and type of strategic calculation, such as minimax and level-k thinking. Within that framework, analysts then solve the problem from the perspective of the opponent while placing subjective probability distributions on all unknown quantities. This produces a distribution over the actions of the opponent and enables analysts to maximize their expected utilities.

    Games and Decisions
    Game Theory: A Review
    Decision Analysis: An Introduction
    Influence Diagrams

    Simultaneous Games
    Discrete Simultaneous Games: The Basics
    Modeling Opponents
    Comparison of ARA Models

    Non-Strategic Play
    Minimax Perspectives
    Bayes Nash Equilibrium
    Level-k Thinking
    Mirror Equilibria
    Three Bidders

    Sequential Games
    Sequential Games: The Basics
    ARA for Sequential Games
    Case Study: Somali Pirates
    Case Study: La Relance

    Variations on Sequential Defend-Attack Games
    The Sequential Defend-Attack Model
    Multiple Attackers
    Multiple Defenders
    Multiple Targets
    Defend-Attack-Defend Games

    A Security Case Study
    Casual Fare Evaders
    Evaders and Pickpockets
    Multiple Stations

    Other Issues
    Complex Systems

    Solutions to Selected Exercises




    David L. Banks is a professor in the Department of Statistical Science at Duke University. His research interests include data mining and risk analysis.

    Jesus Rios is a researcher in risk and decision analytics for the Cognitive Computing Department at the IBM Research Division. His research focuses on applying risk and decision analysis to solve complex business problems.

    David Ríos Insua is the AXA-ICMAT Chair in Adversarial Risk Analysis at the Institute of Mathematical Sciences ICMAT-CSIC and a member of the Spanish Royal Academy of Sciences. His research interests include risk analysis, decision analysis, Bayesian statistics, security, aviation safety, and social robotics.

    "This well-written and concise text is an introduction to the field of adversarial risk analysis (ARA), which is a form of decision and risk analysis which incorporates uncertainty and game theory to model strategies of an adversary…There is an appropriate amount of detail throughout the book, making it suitable for a reference text as well as a book which may be read cover to cover and it is both thought provoking and enlightening."
    —Matthew Craven, Plymouth University, Journal of the Royal Statistical Society, Series A, January 2017

    "Here, Banks (Duke Univ.), Rios (IBM), and Insua (ICMAT-CSIC, Spain) identify three categories of uncertainty for the strategist: aleatory uncertainty—nondeterminism of outcomes even after players make choices; epistemic uncertainty—hidden information concerning opponents' preferences, beliefs, and capabilities; and concept uncertainty—hidden information concerning opponents' strategies. Adversarial risk analysis, a new field with roots in modern efforts to defeat terrorism, provides a framework, in principle, to cope with these uncertainties. Solving the models seems generally intractable, but the heart of the book, the first of its kind, offers exemplary case studies. Summing up: Recommended. Lower-division undergraduates and above; informed general audiences."
    D. V. Feldman, University of New Hampshire, Durham, USA, for CHOICE, March 2016