2016
DOI: 10.1287/ijoc.2016.0690
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A Game Theoretic Model for the Optimal Location of Integrated Air Defense System Missile Batteries

Abstract: We examine the optimal location of Integrated Air Defense System (IADS) missile batteries to protect a country’s assets, formulated as a Defender-Attacker-Defender three-stage sequential, perfect information, zero-sum game between two opponents. We formulate a trilevel nonlinear integer program for this Defender-Attacker-Defender model and seek a subgame perfect Nash equilibrium (i.e., a set of attacker and defender strategies from which neither player has an incentive to deviate). Such a trilevel formulation … Show more

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Cited by 31 publications
(28 citation statements)
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“…The incentive mechanism administered by a third-party could make the ESS profile for both players be (Invest, Invest). According to the analysis in Section 4, the variable, K , should be satisfied by Equation (12). Thus, we can obtain the result that K > max (2.2, 1.5).…”
Section: Simulation Of Extended Evolutionary Modelmentioning
confidence: 97%
See 1 more Smart Citation
“…The incentive mechanism administered by a third-party could make the ESS profile for both players be (Invest, Invest). According to the analysis in Section 4, the variable, K , should be satisfied by Equation (12). Thus, we can obtain the result that K > max (2.2, 1.5).…”
Section: Simulation Of Extended Evolutionary Modelmentioning
confidence: 97%
“…Game theory provides a quantitative decision framework, which can balance between the profits from and the costs of information security investment [12]. Game theory assumes each player is rational, and he/she will choose the optimal strategic choice for profits maximization, which is considered to be the most important goal.…”
mentioning
confidence: 99%
“…Traditional solutions to security concerns lacked a quantitative decision structure. Game theory is considered a part of applied mathematics; it formalizes strategic interaction among independent agents that is able to offer a mathematical framework for showing security challenges in which multiplayers with inconsistent or cooperative goals are considered …”
Section: Introductionmentioning
confidence: 99%
“…Game theory is considered a part of applied mathematics; it formalizes strategic interaction among independent agents that is able to offer a mathematical framework for showing security challenges in which multiplayers with inconsistent or cooperative goals are considered. 9 In addition, game theory is able to analyze numerous scenarios before defining the suitable actions. This can be extremely beneficial for the players' decision making.…”
Section: Introductionmentioning
confidence: 99%
“…Previous work by Han et al (2016) provides an initial game theoretic frame-work for the examination of the missile defense situation. Han et al (2016) formulate and solve a defender-attacker-defender extensive-form game wherein the defender first decides where to locate its SAM batteries, the attacker subsequently decides which targets to engage with a single salvo (within which multiple missiles can target a single defender asset), and then the defender makes fire control decisions to intercept the incoming attacker missiles.…”
Section: Introductionmentioning
confidence: 99%