讲座:Dominance and Optimality 发布时间:2022-11-11

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  目:Dominance  and Optimality

   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

   间:20221116日(周三)14:30-16:00

   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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