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DTSTART:20241027T030000
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DTSTART:20250330T020000
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UID:calendar.135538.field_date.0@www.tse-fr.eu
DTSTAMP:20260614T154049Z
CREATED:20240906T141001Z
DESCRIPTION:Xavier Venel (LUISS Guido Carli University)\, “Zero-one Laws fo
 r a Control Problem with Random Action Sets”\, MAD-Stat. Seminar\, Toulous
 e: TSE\, March 13\, 2025\, 11:00–12:15\, room Auditorium 3.\n\nIn many con
 trol problems there is only limited information about the actions that wil
 l be available at future stages. We introduce a framework where the Contro
 ller chooses actions a0\, a1\, ...\, one at a time. Her goal is to maximiz
 e the probability that the infinite sequence is an element of a given subs
 et G. The set G\, called the goal\, is assumed to be a Borel tail set and 
 the Controller's choices at every given time are restricted by an exogeneo
 us homogeneous random process.\n\nWe consider several information structur
 es defined by how far ahead into the future the Controller knows what acti
 ons will be available. In the special case where all the action sets are s
 ingletons (and thus the Controller is a dummy)\, Kolmogorov’s 0-1 law says
  that the probability for the goal to be reached is 0 or 1. We construct a
  number of counterexamples to show that in general the value of the contro
 l problem can be strictly between 0 and 1\, and derive several sufficient 
 conditions for the 0-1 ``law' to hold.\n\nJoint work with Janos Flesch (Ma
 astricht University)\, Arkadi Predtetchinski (Maastricht University) and W
 illiam Sudderth (University of Minnesota).
DTSTART;TZID=Europe/Paris:20250313T110000
DTEND;TZID=Europe/Paris:20250313T121500
LAST-MODIFIED:20251022T001001Z
LOCATION:Toulouse: TSE\, March 13\, 2025\, 11:00–12:15\, room Auditorium 3
SUMMARY:MAD-Stat. Seminar
URL;TYPE=URI:https://www.tse-fr.eu/seminars/2025-zero-one-laws-control-prob
 lem-random-action-sets
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