Logic, Probability, and Games

The seminar is concerned with applying formal methods to fundamental issues, with an emphasis on probabilistic reasoning, decision theory and games. In this context “logic” is broadly interpreted as covering applications that involve formal representations. The topics of interest have been researched within a very broad spectrum of different disciplines, including philosophy, statistics, economics, and computer science. The seminar is intended to bring together scholars from different fields of research so as to illuminate problems of common interest from different perspectives. Throughout each academic year, meetings are regularly presented by the members of the seminar and distinguished guest speakers. In the spring of 2014, the seminar also became an integral part of the University Seminars at Columbia University .

Haim Gaifman (Columbia)

Rohit Parikh (CUNY)

Robby Finley (Columbia)

Past speakers: Arif Ahmed, Juliet Floyd, Haim Gaifman, Stephan Hartmann, Daniel Kahneman, Hannes Leitgeb, Eric Pacuit, Rohit Parikh, Teddy Seidenfeld, Gregory Wheeler.

Archive:  2014 – 2015  |  2013 – 2014

2015 – 2016 Meetings

September, 2015

Awareness of Unawareness: A Theory of Decision Making in the Face of Ignorance
Edi Karni (Johns Hopkins University)
4:10 pm, Friday, September 25, 2015
Faculty House, Columbia University

Abstract.  In the wake of growing awareness, decision makers anticipate that they might acquire knowledge that, in their current state of ignorance, is unimaginable. Supposedly, this anticipation manifests itself in the decision makers’ choice behavior. In this paper we model the anticipation of growing awareness, lay choice-based axiomatic foundations to subjective expected utility representation of beliefs about the likelihood of discovering unknown consequences, and assign utility to consequences that are not only unimaginable but may also be nonexistent. In so doing, we maintain the flavor of reverse Bayesianism of Karni and Vierø (2013, 2015).