Abstract
In this chapter, the Chemical Plant Protection game is extended to deal with input parameters with distribution-free uncertainties [1] The so-called interval CPP game is defined. Two algorithms, namely, the interval bi-matrix game solver (IBGS) and the interval CPP game solver (ICGS), are proposed.
This chapter is based on the published paper of Zhang et al. [1].
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Zhang L, Reniers G, Qiu X. Playing chemical plant protection game with distribution-free uncertainties. Reliab Eng Syst Saf. 2017.
Dantzig G. Linear programming and extensions. Princeton: Princeton University Press; 2016.
Ben-Tal A, Nemirovski A. Robust solutions of uncertain linear programs. Oper Res Lett. 1999;25(1):1–13.
Kiekintveld C, Marecki J, Tambe M, editors. Approximation methods for infinite Bayesian Stackelberg games: modeling distributional payoff uncertainty. In: The 10th international conference on autonomous agents and multiagent systems-volume 3. International Foundation for Autonomous Agents and Multiagent Systems; 2011.
Kiekintveld C, Islam T, Kreinovich V, editors. Security games with interval uncertainty. In: Proceedings of the 2013 international conference on Autonomous agents and multi-agent systems; 2013: International Foundation for Autonomous Agents and Multiagent Systems; 2013.
Nikoofal ME, Zhuang J. Robust allocation of a defensive budget considering an attacker’s private information. Risk Anal. 2012;32(5):930–43.
Pita J, Jain M, Tambe M, Ordóñez F, Kraus S. Robust solutions to Stackelberg games: addressing bounded rationality and limited observations in human cognition. Artif Intell. 2010;174(15):1142–71.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer International Publishing AG, part of Springer Nature
About this chapter
Cite this chapter
Zhang, L., Reniers, G. (2018). Single Plant Protection: Playing the Chemical Plant Protection Game with Distribution-Free Uncertainties. In: Game Theory for Managing Security in Chemical Industrial Areas. Advanced Sciences and Technologies for Security Applications. Springer, Cham. https://doi.org/10.1007/978-3-319-92618-6_4
Download citation
DOI: https://doi.org/10.1007/978-3-319-92618-6_4
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-92617-9
Online ISBN: 978-3-319-92618-6
eBook Packages: Economics and FinanceEconomics and Finance (R0)