In this presentation, we will give an introduction to epistemic logic and its application in game theory. A central theme of game theory is to investigate people’s decision-making process in interactive situations. In such a process, a person does some inference based on his beliefs of the situation, his predictions of other participators’ behavior, and his own decision criteria. In extant game theory, such a process is discussed either implicitly or in a set-theoretical approach. However, since human beings use a symbolic approach to describe his beliefs, formulate his own criteria, and do inference, it is natural to investigate the decision-making process by using logic.
This presentation will first give a brief introduction on epistemic logic, which is a subfield of logic concerning with reasoning about knowledge and belief. We then show how to use epistemic logic to formulate a person’s decision-making process. Finally, we will give an example, the epistemic depth of interpersonal inference in iterated elimination of dominated strategies. This example will help to show how epistemic logic provides some insights into the investigation of people’s decision-making process in interactive situations.
Shuige Liu is a research associate in Faculty of Political Science and Economics at Waseda University. She works on mathematical economics and game theory.
What interests her is how people behavior in interactive social situations, that is, situations where outcomes concern participators while each participator can only partially influence the outcome. To investigate this problem, she wrote some short stories, one of which won her the Liang Shih-chiu Literature Prize in 2008. Unsatisfied with the approach of literature, she turned to mathematical economics and game theory. She published a paper on the iterated elimination of dominated strategies (with Mamoru Kaneko). Recently, she is working on influence structures of games and application of epistemic logic to game theory
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