文章基本信息

标题：Entropy Games and Matrix Multiplication Games
本地全文：下载
作者：Eugene Asarin ; Julien Cervelle ; Aldric Degorre 等
期刊名称：LIPIcs : Leibniz International Proceedings in Informatics
电子版ISSN：1868-8969
出版年度：2016
卷号：47
页码：11:1-11:14
DOI：10.4230/LIPIcs.STACS.2016.11
出版社：Schloss Dagstuhl -- Leibniz-Zentrum fuer Informatik
摘要：Two intimately related new classes of games are introduced and studied: entropy games (EGs) and matrix multiplication games (MMGs). An EG is played on a finite arena by two-and-a-half players: Despot, Tribune and the non-deterministic People. Despot wants to make the set of possible People's behaviors as small as possible, while Tribune wants to make it as large as possible. An MMG is played by two players that alternately write matrices from some predefined finite sets. One wants to maximize the growth rate of the product, and the other to minimize it. We show that in general MMGs are undecidable in quite a strong sense. On the positive side, EGs correspond to a subclass of MMGs, and we prove that such MMGs and EGs are determined, and that the optimal strategies are simple. The complexity of solving such games is in NP cap coNP.
关键词：game theory; entropy; joint spectral radius