English

Highly lopsided information and the Borel hierarchy

Logic 2011-06-02 v1

Abstract

In a game where both contestants have perfect information, there is a strict limit on how perfect that information can be. By contrast, when one player is deprived of all information, the limit on the other player's information disappears, admitting a hierarchy of levels of lopsided perfection of information. We turn toward the question of when the player with super-perfect information has a winning strategy, and we exactly answer this question for a specific family of lopsided-information games which we call guessing games.

Keywords

Cite

@article{arxiv.1106.0196,
  title  = {Highly lopsided information and the Borel hierarchy},
  author = {Samuel Alexander},
  journal= {arXiv preprint arXiv:1106.0196},
  year   = {2011}
}

Comments

7 pages

R2 v1 2026-06-21T18:16:07.289Z