Banach games

Journal of Symbolic Logic 49 (2):343-375 (1984)
  Copy   BIBTEX


Banach introduced the following two-person, perfect information, infinite game on the real numbers and asked the question: For which sets $A \subseteq \mathbf{R}$ is the game determined????? Rules: The two players alternate moves starting with player I. Each move a n is legal iff it is a real number and $0 , and for $n > 1, a_n . The first player to make an illegal move loses. Otherwise all moves are legal and I wins iff ∑ a n exists and ∑ a n ∈ A. We will look at this game and some variations of it, called Banach games. In each case we attempt to find the relationship between Banach determinancy and the determinancy of other well-known and much-studied games



    Upload a copy of this work     Papers currently archived: 74,181

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles


Added to PP

193 (#64,178)

6 months
1 (#413,813)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

Supermachines and Superminds.Eric Steinhart - 2003 - Minds and Machines 13 (1):155-186.

Add more citations

References found in this work

No references found.

Add more references