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DTSTART;TZID=America/New_York:20190426T143000
DTEND;TZID=America/New_York:20200426T153000
DTSTAMP:20260503T111754
CREATED:20240212T100818Z
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UID:10001958-1556289000-1587915000@cmsa.fas.harvard.edu
SUMMARY:4/26/2019 General Relativity Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/4-26-2019-general-relativity-seminar/
CATEGORIES:General Relativity Seminar
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BEGIN:VEVENT
DTSTART;TZID=America/New_York:20200207T103000
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UID:10001901-1581071400-1581076800@cmsa.fas.harvard.edu
SUMMARY:2/7/2020 General Relativity
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/2-7-2020-general-relativity/
CATEGORIES:General Relativity Seminar
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DTSTART;TZID=America/New_York:20200207T163000
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UID:10001899-1581093000-1581096600@cmsa.fas.harvard.edu
SUMMARY:A Compact\, Logical Approach to Large-Market Analysis
DESCRIPTION:Speaker: Scott Duke Kominers (Harvard)\n\nTitle: A Compact\, Logical Approach to Large–Market Analysis\n\nAbstract: In game theory\, we often use infinite models to represent “limit” settings\, such as markets with a large number of agents or games with a long time horizon. Yet many game-theoretic models incorporate finiteness assumptions that\, while introduced for simplicity\, play a real role in the analysis. Here\, we show how to extend key results from (finite) models of matching\, games on graphs\, and trading networks to infinite models by way of Logical Compactness\, a core result from Propositional Logic. Using Compactness\, we prove the existence of man-optimal stable matchings in infinite economies\, as well as strategy-proofness of the man-optimal stable matching mechanism. We then use Compactness to eliminate the need for a finite start time in a dynamic matching model. Finally\, we use Compactness to prove the existence of both Nash equilibria in infinite games on graphs and Walrasian equilibria in infinite trading networks.
URL:https://cmsa.fas.harvard.edu/event/2-12-2020-colloquium/
LOCATION:CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Colloquium
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