- 1、本文档共30页,可阅读全部内容。
- 2、有哪些信誉好的足球投注网站(book118)网站文档一经付费(服务费),不意味着购买了该文档的版权,仅供个人/单位学习、研究之用,不得用于商业用途,未经授权,严禁复制、发行、汇编、翻译或者网络传播等,侵权必究。
- 3、本站所有内容均由合作方或网友上传,本站不对文档的完整性、权威性及其观点立场正确性做任何保证或承诺!文档内容仅供研究参考,付费前请自行鉴别。如您付费,意味着您自己接受本站规则且自行承担风险,本站不退款、不进行额外附加服务;查看《如何避免下载的几个坑》。如果您已付费下载过本站文档,您可以点击 这里二次下载。
- 4、如文档侵犯商业秘密、侵犯著作权、侵犯人身权等,请点击“版权申诉”(推荐),也可以打举报电话:400-050-0827(电话支持时间:9:00-18:30)。
查看更多
国外博弈论课件lecture10
June 2, 2003 73-347 Game Theory--Lecture 10 June 2, 2003 Lecture 10 Static (or Simultaneous-Move) Games of Complete Information Mixed Strategy Nash Equilibrium Outline of Static Games of Complete Information Introduction to games Normal-form (or strategic-form) representation Iterated elimination of strictly dominated strategies Nash equilibrium Review of concave functions, optimization Applications of Nash equilibrium Mixed strategy Nash equilibrium Today’s Agenda Review of previous class Example: Rock, paper and scissors (Exercise 139.1 of Osborne) How to find mixed strategy Nash equilibria in a 2-player game each with a finite number of strategies Example: Rock, paper and scissors Each of two players simultaneously announces either Rock, or Paper, or Scissors. Paper beats (wraps) rock Rock beats (blunts) scissors Scissors beats (cuts) paper The player who names the winning object receives $1 from her opponent If both players name the same choice then no payment is made Example: Rock, paper and scissors Can you guess a mixed strategy Nash equilibrium? Mixed strategy Nash equilibrium: 2-player each with two pure strategies Mixed strategy Nash equilibrium: A pair of mixed strategies ((r*, 1-r*), (q*, 1-q*))is a Nash equilibrium if (r*,1-r*) is a best response to (q*, 1-q*), and (q*, 1-q*) is a best response to (r*,1-r*). That is,v1((r*, 1-r*), (q*, 1-q*)) ? v1((r, 1-r), (q*, 1-q*)), for all 0? r ?1v2((r*, 1-r*), (q*, 1-q*)) ? v2((r*, 1-r*), (q, 1-q)), for all 0? q ?1 2-player each with two strategies Theorem 1 (property of mixed Nash equilibrium) A pair of mixed strategies ((r*, 1-r*), (q*, 1-q*)) is a Nash equilibrium if and only if v1((r*, 1-r*), (q*, 1-q*)) ? EU1(s11, (q*, 1-q*))v1((r*, 1-r*), (q*, 1-q*)) ? EU1(s12, (q*, 1-q*)) v2((r*, 1-r*), (q*, 1-q*)) ? EU2(s21, (r*, 1-r*))v2((r*, 1-r*), (q*, 1-q*)) ? EU2(s22, (r*, 1-r*)) Mixed strategy equilibrium: 2-player each with two strategies Theorem 2 Let ((r*, 1-r*), (q*
您可能关注的文档
- 国产MOCVD设备的特点、性能和发展趋势.pdf
- 国内外抗生素10只主要品种的销售情况分析.doc
- 国内各主要单位电动汽车研发项目进展情况及主要产品介绍.pdf
- 生产与运作管理PPT教学课件-第八章 质量管理.ppt
- 国内品牌.doc
- 国内主要企业和个人实际薪酬及制度调查·分析.doc
- 国内煤炭行业周报.pdf
- 国内营销公司中心绩效操作指引.doc
- 国内电梯产业调查报告.doc
- 国内外老年住宅的几种形式.pdf
- 2025年河南省沁阳市事业单位考试(中小学教师类D类)职业能力倾向测验重点难点精练试题1套.docx
- 2025年浙江省江山市事业单位考试(中小学教师类D类)职业能力倾向测验强化训练试题集汇编.docx
- 2025年河北省霸州市事业单位考试(中小学教师类D类)职业能力倾向测验重点难点精练试题完整.docx
- 2025年黑龙江省虎林市事业单位考试(中小学教师类D类)职业能力倾向测验强化训练试题集带答案.docx
- 浅谈如何合理使用仁爱版英语教材.pdf
- 2024年福建省泰宁县事业单位招聘公共基础知识考试必刷200题内部题库(典型题).docx
- 2024年寒假工作计划范例(五篇).pdf
- 人教版数学六年级下册数的运算说课稿3篇2024.pdf
- 保险公司年终工作总结2024年(八篇).pdf
- 2024年美术_原创文档.pdf
文档评论(0)