关于运动机制设计中松弛与圆化的一点注记
A Note on Relaxation and Rounding in Algorithmic Mechanism Design
摘要:
在这篇文章中,我们回顾了在算法机制设计中多次使用的\emph{relaxation and rounding}技术。我们试图介绍一个通用的框架,其中涵盖了最重要的算法在机制设计,使用松弛和舍入技术。我们相信,这个框架不仅是现有算法的推广,但也可以利用进一步的结果,在算法机制设计。在介绍框架之前,我们简要定义了算法机制设计、其与博弈论和计算机科学的联系以及该领域面临的挑战。
英文摘要:
In this note, we revisit the \emph{relaxation and rounding} technique employed several times in algorithmic mechanism design. We try to introduce a general framework which covers the most significant algorithms in mechanism design that use the relaxation and rounding technique. We believe that this framework is not only a generalization of the existing algorithms but also can be leveraged for further results in algorithmic mechanism design. Before presenting the framework, we briefly define algorithmic mechanism design, its connections to game theory and computer science, and the challenges in the field.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。