讲座:Dominance and Optimality 发布时间:2022-11-11
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- 活动地址:
- 主讲人:
题 目:Dominance and Optimality
嘉 宾:程协南,博士后,北京大学光华管理学院
主持人:闵炜程,助理教授,上海交通大学安泰经济与管理学院
时 间:2022年11月16日(周三)14:30-16:00
地 点:腾讯会议(校内师生如需会议号和密码,请发邮件至yueqiwang@sjtu.edu.cn获取)
内容简介:
This paper proposes a general theory of dominance among choices that encompasses strict and weak dominance among strategies in games, Blackwell dominance among experiments, and first or second order stochastic dominance among monetary lotteries. One choice dominates another if in a variety of situations the former choice yields higher expected utility than the latter. We then investigate whether, in a finite set of possible choices, all undominated choices are optimal in some situation. We present a formal framework in which the answer to this question is positive, and we show that within this framework the set of undominated choices is the smallest set to which the decision maker can restrict attention ex ante without running the risk of not having an optimal choice in the particular situation in which she finds herself. For this result it is crucial that the dominating alternatives are allowed to be convex combinations (in games: mixed strategies). A detailed analysis of dominance in game theory, Blackwell dominance, and first or second order stochastic dominance in one common framework also allows us to compare the properties of these concepts, and to obtain insights into why certain versions of our result apply only to some, but not all of these concepts.
演讲人简介:
Xienan Cheng is a Thought Leadership Post-doctoral researcher at Guanghua School of Management, Peking University. He obtained a Ph.D. in economics from the University of Michigan. His research area is microeconomic theory (in particular, information economics).
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