Incorporating risk preferences in stochastic noncooperative games

References

• Alpcan, T. and Basar, T. (2010) Network Security: A Decision and Game-Theoretic Approach, Cambridge University Press, Cambridge, UK.
   Google Scholar
• Bell, M.G.H., Kanturska, U., Schmocker, J.D. and Fonzone, A. (2008) Attacker-defender models and road network vulnerability. Philosophical Transactions of the Royal Society Series A, 366(1872), 1893–1906.
   Google Scholar
• Conitzer, V. (2012) Computing game-theoretic solutions and applications to security, in Proceeedings of the 26th Conference on Artificial Intelligence, J. Hoffman and B. Selman (eds). The AAAI Press, Menlo Park, CA, pp. 2106–2112.
   Google Scholar
• Corchón, L.C. (2007) The theory of contests: A survey. Review of Economic Design, 11(2), 69–100.
   Google Scholar
• Cormican, K.J., Morton, D.P. and Wood, R.K. (1998) Stochastic network interdiction. Operations Research, 46(2), 184–197.
   Web of Science ®Google Scholar
• Debreu, G. (1952) A social equilibrium existence theorem. Proceedings of the National Academy of Sciences, 38(10), 886–893.
   PubMed Web of Science ®Google Scholar
• Eeckhoudt, L., Rey, B. and Schlesigner, H. (2007) A good sign for multivariate risk taking. Management Science, 53(1), 117–124.
   Web of Science ®Google Scholar
• Gatti, N. (2008) Game theoretical insights in strategic patrolling: Model and algorithm in normal-form, in 18th European Conference on Artificial Intelligence, M. Ghallab et al. (eds), IOS Press, Amsterdam, Netherlands, pp. 403–407.
   Google Scholar
• Glicksberg, I.L. (1952) A further generalization of the Kakutani fixed point theorem with application to Nash equilibrium points. Proceedings of the American Mathematical Society, 3(1), 170–174.
   Web of Science ®Google Scholar
• Golalikhani, M. and Zhuang, J. (2011) Modeling arbitrary layers of continuous-level defenses in facing with strategic attackers. Risk Analysis, 31(4), 533–547.
   PubMed Web of Science ®Google Scholar
• Gonzalez, F.M. (2007) Effective property rights, conflict and growth. Journal of Economic Theory, 137(1), 127–139.
   Web of Science ®Google Scholar
• Guthrie, C. (2003) Prospect theory, risk preferences, and the law. Northwestern University Law Review, 97(3), 1115–1163.
   Web of Science ®Google Scholar
• Hausken, K. (2011) Strategic defense and attack of series systems when agents move sequentially. IIE Transactions, 43(7), 483–504.
   Web of Science ®Google Scholar
• Keeney, R.L. (2007) Modeling values for anti-terrorism analysis. Risk Analysis, 27(3), 585–596.
   Web of Science ®Google Scholar
• Keeney, R.L. and von Winterfeldt, D. (2011) A value model for evaluating homeland security decisions. Risk Analysis, 31(9), 1470–1487.
   Web of Science ®Google Scholar
• Levy, J.S. (1997) Prospect theory, rational choice, and international relations. International Studies Quarterly, 41, 87–112.
   Web of Science ®Google Scholar
• Levy, J.S. (2003) Applications of prospect theory to political science. Synthese, 135(2), 215–241.
   Web of Science ®Google Scholar
• Liu, Y., Comaniciu, C. and Man, H. (2011) Modeling misbehavior in ad hoc networks: A game-theoretic approach for intrusion detection. International Journal on Security and Networks, 1(3/4), 243–254.
   Google Scholar
• Long, N.V. (2010) A Survey of Dynamic Games in Economics, Vol. 1, World Scientific, Singapore.
   Google Scholar
• Madasseri Payyappalli, V., Zhuang, J. and Jose, V.R.R. (2017) Deterrence and risk preferences in a sequential attacker-defender game with continuous defense effort. Risk Analysis, 37(11), 2229–2245.
   Web of Science ®Google Scholar
• Major, J. (2002) Advanced techniques for modeling terrorism risk. Journal of Risks in Finance, 4(1), 15–24.
   Google Scholar
• Nikoofal, M.E. and Zhuang, J. (2015) On the value of exposure and secrecy of defense system: First-mover advantage vs. robustness. European Journal of Operational Research, 246(1), 320–330.
   Web of Science ®Google Scholar
• Phillips, P.J. (2013) The end of Al-qaida: Rationality, survivability and risk aversion. International Journal of Economic Sciences, 2(1), 61–81.
   Google Scholar
• Phillips, P.J. and Pohl, G. (2012) Economic profiling of the lone wolf terrorist: Can economics provide behavioural investigative advice?Journal of Applied Security Research, 7(2), 151–177.
   Google Scholar
• Pratt, J.W. (1964) Risk aversion in the small and in the large. Econometrica, 32(1), 122–136.
   Web of Science ®Google Scholar
• Richard, S.F. (1975) Multivariate risk aversion, utility independence, and separable utility functions. Management Science, 22(1), 12–21.
   Web of Science ®Google Scholar
• Rothschild, M. and Stiglitz, J. (1976) Equilibrium in competitive insurance markets: An essay on the economics of imperfect information. Quarterly Journal on Economics, 90(4), 629–649.
   Web of Science ®Google Scholar
• Sandler, T. and Siquiera, K. (2009) Games and terrorism: Recent developments. Simulation & Gaming, 40(2), 164–192.
   Google Scholar
• Shan, X. and Zhuang, J. (2014) Modeling credible retaliation threats in deterring the smuggling of nuclear weapons using partial inspection—A three-stage game. Decision and Analysis, 11(1), 43–62.
   Web of Science ®Google Scholar
• Shapiro, A. (2012) Minimax and risk averse multistage stochastic programming. European Journal of Operational Research, 219, 719–722.
   Web of Science ®Google Scholar
• Sharpe, W.F. (1965) Risk aversion in the stock market: Some empirical evidence. Journal of Finance, 20(3), 416–422.
   Web of Science ®Google Scholar
• Siquiera, K. and Sandler, T. (2006) Terrorists versus the government: Strategic interaction, support, and sponsorship. Journal of Conflict Resolution, 50(6), 1–21.
   Web of Science ®Google Scholar
• Skaperdas, S. and Gan, L. (1995) Risk aversion in contests. Economics Journal, 105(431), 951–962.
   Web of Science ®Google Scholar
• Song, C. and Zhuang, J. (2017) N-stage security screening strategies in the face of strategic applicants. Reliability Engineering & System Safety, 165, 292–301.
   Web of Science ®Google Scholar
• Stewart, M.G., Ellingwood, B.R. and Mueller, J. (2011) Homeland security: A case study in risk aversion for public decision making. International Journal of Risk Assessment and Management, 15(5/6), 367–386.
   Google Scholar
• U.S. Army. (2007) A Military Guide to Terrorism in the Twenty-First Century, Handbook No. 1, U.S. Army Training and Doctrine Command, Available at: http://www.fas.org/irp/threat/terror.htm. Accessed 1 September 2017.
   Google Scholar
• Von Neumann, J. and Morgenstern, O. (1944) Theory of Games and Economic Behavior, Princeton University Press, Princeton, NJ.
   Google Scholar
• Wang, X. and Zhuang, J. (2011) Balancing congestion and security in the presence of strategic applicants with private information. Eurpean Journal of Operational Research, 212(1), 100–111.
   Web of Science ®Google Scholar
• Yin, Z., Jain, M., Tambe, M. and Ordonez, F. (2011) Risk-averse strategies for security games with execution and observational uncertainty, in Proceedings of 25th AAAI Conference on Artificial Intelligence, W. Burgard and D. Roth (eds), The AAAI Press, Menlo Park, CA, pp. 758–763.
   Google Scholar
• Zhang, J., Zhuang, J. and Jose, V.R.R. (2018) The role of risk preferences in a multi-target attacker-defender resource allocation game. Reliability Engineering & System Safety, 169(1), 95–104.
   Google Scholar
• Zhuang, J. and Bier, V. (2007) Balancing terrorism and natural disasters—Defensive strategy with endogenous attacker effort. Operations Research, 55(5), 976–991.
   Web of Science ®Google Scholar
• Zhuang, J. and Bier, V. (2011) Secrecy and deception at equilibrium with applications to anti-terrorism resource allocation. Defence Peace Economics, 22(1), 43–61.
   Web of Science ®Google Scholar