|
所在平台: Coursera |
课程主页: https://www.coursera.org/learn/game-theory-1
课程评论：没有评论
课程名称：博弈论 概述：博弈论通过如《美丽心灵》等电影得到了广泛传播，它是研究理性（及非理性）主体之间战略互动的数学建模。博弈论的应用不仅限于传统的“游戏”，如国际象棋、扑克牌和足球，还包括国家间的冲突、政治竞选、企业间的竞争，以及市场如纽约证券交易所的交易行为等。如何在建模关键词竞拍和点对点文件共享网络时，考虑用户的激励机制呢？本课程将提供博弈论的基础知识：游戏与策略的表征、扩展形式（计算机科学家称之为游戏树）、贝叶斯博弈（如竞拍建模）、重复博弈和随机博弈等。课程中将包括经典博弈的多样化例子和一些实际应用。 课程大纲： 第1周：介绍与概述 - 包括博弈论的应用和示例，博弈的正常形式、收益、策略、纯策略纳什均衡和占优策略的正式定义。 第2周：混合策略纳什均衡 - 纯策略与混合策略纳什均衡的讨论。 第3周：替代解概念 - 严格占优策略的迭代删除、零和博弈的最小值最大策略和最小值最大定理、相关均衡。 第4周：扩展形式博弈 - 完美信息博弈：树结构、节点分配给玩家、收益、反向归纳、子博弈完美均衡、引入不完美信息博弈、混合策略与行为策略的比较。 第5周：重复博弈 - 重复囚徒困境、有限与无限重复博弈、有限平均与未来折现收益、民间定理、随机博弈与学习。 第6周：贝叶斯博弈 - 一般定义，事先/事后贝叶斯纳什均衡。 第7周：合作博弈 - 可转移效用的合作博弈、沙普利值、核心及其应用。 第8周：期末考试 想要查看完整课程大纲和描述，请访问：http://web.stanford.edu/~jacksonm/GTOC-Syllabus.html 对于已经熟悉博弈论的学员，还有一门进阶后续课程可以选择：https://www.coursera.org/learn/gametheory2/ 您还可以在此查看课程介绍视频：http://web.stanford.edu/~jacksonm/Intro_Networks.mp4
Name:Week 1: Introduction and Overview
Description:Introduction, overview, uses of game theory, some applications and examples, and formal definitions of: the normal form, payoffs, strategies, pure strategy Nash equilibrium, dominant strategies
Name:Week 2: Mixed-Strategy Nash Equilibrium
Description:pure and mixed strategy Nash equilibria
Name:Week 3: Alternate Solution Concepts
Description:Iterative removal of strictly dominated strategies, minimax strategies and the minimax theorem for zero-sum game, correlated equilibria
Name:Week 4: Extensive-Form Games
Description:Perfect information games: trees, players assigned to nodes, payoffs, backward Induction, subgame perfect equilibrium, introduction to imperfect-information games, mixed versus behavioral strategies.
Name:Week 5: Repeated Games
Description:Repeated prisoners dilemma, finite and infinite repeated games, limited-average versus future-discounted reward, folk theorems, stochastic games and learning.
Name:Week 6: Bayesian Games
Description:General definitions, ex ante/interim Bayesian Nash equilibrium.
Name:Week 7: Coalitional Games
Description:Transferable utility cooperative games, Shapley value, Core, applications.
Name:Week 8: Final Exam
Description:The description goes here
Popularized by movies such as "A Beautiful Mind," game theory is the mathematical modeling of strategic interaction among rational (and irrational) agents. Beyond what we call `games' in common language, such as chess, poker, soccer, etc., it includes the modeling of conflict among nations, political campaigns, competition among firms, and trading behavior in markets such as the NYSE. How could you begin to model keyword auctions, and peer to peer file-sharing networks, without accounting for the incentives of the people using them? The course will provide the basics: representing games and strategies, the extensive form (which computer scientists call game trees), Bayesian games (modeling things like auctions), repeated and stochastic games, and more. We'll include a variety of examples including classic games and a few applications. You can find a full syllabus and description of the course here: http://web.stanford.edu/~jacksonm/GTOC-Syllabus.html There is also an advanced follow-up course to this one, for people already familiar with game theory: https://www.coursera.org/learn/gametheory2/ You can find an introductory video here: http://web.stanford.edu/~jacksonm/Intro_Networks.mp4
