Approximation Algorithm for Security Games with Costly Resources

Approximation Algorithm for Security Games with Costly Resources
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资源昂贵的安全博弈的近似算法

DOI:
10.1007/978-3-642-25510-6_2
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发表时间:
2011
期刊:
ArXiv
影响因子:
--
通讯作者:
Kamesh Munagala
Kamesh Munagala
中科院分区:
--
文献类型:
--
作者:
Sayan Bhattacharya;Vincent Conitzer;Kamesh Munagala

文献摘要

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近年来,针对现实世界的安全领域开发了计算博弈论解决方案的算法。这些游戏是在防御者和攻击者之间进行的,防御者必须分配她的资源来防御潜在的目标,攻击者选择一个目标进行攻击。现有的工作已经假定防御者的资源集合是固定的。这个假设排除了近似算法的有效使用,因为防御者的分配策略的微小变化可能导致她的效用的巨大变化。相比之下,我们考虑一个模型,其中资源是以成本获得的,开始研究以下优化问题:最小化购买资源的总成本,给定每个目标必须至少有一定的概率进行防御。我们给出了一个有效的对数近似算法。
In recent years, algorithms for computing game-theoretic solutions have been developed for real-world security domains. These games are between a defender, who must allocate her resources to defend potential targets, and an attacker, who chooses a target to attack. Existing work has assumed the set of defender's resources to be fixed. This assumption precludes the effective use of approximation algorithms, since a slight change in the defender's allocation strategy can result in a massive change in her utility. In contrast, we consider a model where resources are obtained at a cost, initiating the study of the following optimization problem: Minimize the total cost of the purchased resources, given that every target has to be defended with at least a certain probability. We give an efficient logarithmic approximation algorithm for this problem.