On a Stackelberg Subset Sum Game

Q2 Mathematics

Electronic Notes in Discrete Mathematics Pub Date : 2018-08-01 DOI:10.1016/j.endm.2018.07.018

Ulrich Pferschy , Gaia Nicosia , Andrea Pacifici

引用次数: 3

Abstract

This work addresses a two-level discrete decision problem, a so-called Stackelberg strategic game in a Subset Sum setting. One of the players, the leader $L$ , may alter the weights of some items, and a second player, the follower $F$ , selects a solution in order to utilize a bounded resource in the best possible way. Finally, the leader receives a payoff which only depends on those items of its subset L that were included in the overall solution A, chosen by the follower. Complexity results and solution algorithms are presented for different variants of the leader problem.

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关于Stackelberg子集和博弈

这项工作解决了一个两级离散决策问题，即所谓的子集和设置中的Stackelberg策略博弈。其中一个参与者，领导者L，可能会改变一些物品的权重，第二个参与者，追随者F，选择一个解决方案，以便以最好的方式利用有限的资源。最后，领导者获得的收益仅取决于其子集L中包含在整体解决方案a中的项目，这些项目由追随者选择。给出了不同类型领导问题的复杂度结果和求解算法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Electronic Notes in Discrete Mathematics Mathematics-Discrete Mathematics and Combinatorics

CiteScore

1.30

自引率

0.00%

发文量

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