VMOSII (Verzamelingstheoretische Modelvorming voor Oneindige Spelen van Imperfecte Informatie) NWO Project

VMOSII is a research project funded by the NWO (B62-584 2002/05867/CPI). It is connected to the NWO project InIGMA: "Imperfect Information Games; Models and Analysis" by being its infinite analogue. (See the Project Description for details.)

• prof.dr Johan van Benthem
• drs Boudewijn de Bruin
• drs Balder ten Cate
• drs Sjoerd Druiven
• dr Peter van Emde Boas
• dr Benedikt Löwe
• drs Merlijn Sevenster

Benedikt Löwe is giving a Short Course entitled "A Gentle Introduction to Set-Theoretic Games". The next meeting will be announced here.

The following is a list of meetings that already took place:

• 1st Meeting: Baire Space and the Borel Hierarchy (March 12th, 2003; 130-300 pm; M.C4)
• 2nd Meeting: Hierarchies of Descriptive Set Theory, Infinite Perfect Information Games (March 19th, 2003; 130-300 pm; A9.03)
• 3rd Meeting: Variants of Games: Rules, Playing on Cantor Space, Non-consecutive moves (March 25th, 2003; 100-230 pm; P0.15A)
• 4th Meeting: Applications: Wadge Games and Solovay Games (March 26th, 2003; 130-300 pm; P0.15B)
• 5th Meeting: An overview of the Consistency Strength Hierarchy (April 1st, 2003; 100-230 pm; P0.19)
• 6th Meeting: Early history of set-theoretic game theory: Gale and Stewart (April 2nd, 2003; 130-300 pm; P0.15A)
• 7th Meeting: History of set-theoretic game theory from the sixties to the eighties (May 7th, 2003; 200-330 pm; P0.16)
• 8th Meeting: Infinite perfect information games with preferences and more than two players (July 23rd, 2003; 1100 am-1230 pm; P0.15A)

Topics of the Short Course include:

1. The Topology of Baire Space: Infinite Sequences, Trees, etc.
2. Abstract Games of Infinite Length
3. Determinacy Axioms and some consequences
4. Some results on infinite games with more than two players
5. The extent of combinatorial labellings