✦ LIBER ✦

When does a random Robin Hood win?

✍ Scribed by William Gasarch; Evan Golub; Aravind Srinivasan

Book ID: 104325873
Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 200 KB
Volume: 304
Category: Article
ISSN: 0304-3975
DOI: 10.1016/s0304-3975(03)00289-5

No coin nor oath required. For personal study only.

✦ Synopsis

A certain two-person inÿnite game (between "Robin Hood" and the "Sheri ") has been studied in the context of set theory. In certain cases, it is known that for any deterministic strategy of Robin Hood's, if the Sheri knows Robin Hood's strategy, he can adapt a winning counter-strategy. We show that in these cases, Robin Hood wins with "probability one" if he adopts a natural random strategy. We then characterize when this random strategy has the almost-surely winning property. We also explore the case of a random Sheri versus a deterministic Robin Hood.

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