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代理人受约束的真实设施定位游戏游戏

Argyrios Deligkas1, Mohammad Lotfi2, Alexandros A Voudouris3

  • 1Royal Holloway University of London, Egham, UK.

Journal of combinatorial optimization
|March 17, 2025
PubMed
概括
此摘要是机器生成的。

这项研究分析了真实的设施定位游戏,重点关注战略性机制. 我们在总和变量和最大变量场景中为社会成本的近似比率设定了严格的界限.

关键词:
接近比率是指近似比率.设施的位置设施的位置.机制设计 机制设计

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科学领域:

  • 算法游戏理论 算法游戏理论
  • 运营研究 运营研究
  • 计算经济学计算经济学

背景情况:

  • 设施定位游戏涉及战略性地放置设施以服务代理.
  • 真实性和战略性是机制设计中关键的条件.
  • 代理费用可以根据设施的总距离 (总和变量) 或最大距离 (最大变量) 定义.

研究的目的:

  • 分析真实设施位置游戏与私人代理位置.
  • 为了确定战略证明机制的近似比率.
  • 为了研究和变量和最大变量成本函数.

主要方法:

  • 在实数直线上被认为是一个真实的设施定位游戏.
  • 分析了具有战略性 (与激励相容) 的机制.
  • 在相对于社会成本的近似比率上推导出了严格的界限.

主要成果:

  • 确定了战略性机制的近似率的严格界限.
  • 结果适用于总变量 (总距离) 和最大变量 (最远设施距离) 成本模型.
  • 分析量化了真实性和效率 (社会成本) 之间的权衡.

结论:

  • 在真实的设施位置游戏中,战略验证机制具有可量化的近似比率.
  • 导出的边界为真实机制的性能提供了理论限制.
  • 这项研究有助于了解资源分配问题的机制设计.