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Random Rationalizability

Introductory Workshop: Mathematics and Computer Science of Market and Mechanism Design September 11, 2023 - September 15, 2023

September 11, 2023 (03:30 PM PDT - 04:30 PM PDT)
Speaker(s): Chris Shannon (University of California, Berkeley)
Location: SLMath: Eisenbud Auditorium, Atrium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
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Abstract

This paper studies the testability of theories when data might be subject to errors. The paper considers a general revealed preference framework for rationalizing data and refuting theories subject to noisy observations. The paper gives several conditions under which features of a model might be estimated or tested using such data, making use of ideas in topological data analysis. Examples including consumer demand and market equilibrium illustrate the main results.

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