Title
Complexity of winning strategies
Abstract
Rabin has given an example of a game with recursive rules but no recursive winning strategy. We show that such a game always has a hyperarithmetical winning strategy, but arbitrarily high levels of the hyperarithmetical hierarchy may be needed. We also exhibit a recursively enumerable game which has no hyperarithmetical winning strategy.
Year
DOI
Venue
1972
10.1016/0012-365X(72)90086-6
Discrete Mathematics
Keywords
Field
DocType
mathematics
Discrete mathematics,Combinatorics,Recursively enumerable language,Hierarchy,Recursion,Mathematics
Journal
Volume
Issue
ISSN
3
4
Discrete Mathematics
Citations 
PageRank 
References 
4
0.49
0
Authors
1
Name
Order
Citations
PageRank
Andreas Blass140.49