Die ist die Homepage der Vorlesung "Infinite Games"
im Sommersemester 2019.
Lehrperson
Giorgio Laguzzi
(Please feel free to contact me at giorgio.laguzzi@libero.it for asking any question about the course.)
Ort und Zeit
Mi 12 - 14, SR 218
Do 14 - 16, SR 318
The aim of the course is to focus on games with two players and infinite moves. Such
types of games have been well-studied along the years in a branch of mathematical logic
called descriptive set theory. Along the lecture we are going to focus on the set theroretical
aspects of infinite games, studying the interplay with topological and measure-theoretical
questions; more specifically we focus on Banach-Mazur game, the perfect set game and
some other variants. Moreover, we also present connections with social choice theory and
social welfare theory, such as Arrow’s impossibility theorem and the analysis of Pareto pre-
orders and/or other principles coming from theoretical economics like Hammond equity
and finite anonymity.
Literatur
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A.S. Kechris - Classical Descriptive Set Theory, Springer-Verlag, 1995.
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A. Kanamori, The Higher Infinite, Springer , 1994.
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T. Jech, Set Theory, Springer, 3rd Milleniuum edition, 2003.
Exercise Sheets
Exercise sheet 1.
Exercise sheet 2.
Exercise sheet 3.
Exercise sheet 4.
Exercise sheet 5.
Exercise sheet 6.
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