Infinite games on finite sets

Uri Abraham; Rene Schipperus

doi:10.1007/s11856-007-0043-5

Infinite games on finite sets

Uri Abraham, Rene Schipperus

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We study a family of infinite games with imperfect information introduced by B. Model for two players that alternately remove and add points to a finite set. We investigate the existence of imperfect information strategies for the remover for different ambient cardinalities. We also study a variant of a game of D. Gale introduced by Scheepers and Weiss.

Original language	English
Pages (from-to)	205-219
Number of pages	15
Journal	Israel Journal of Mathematics
Volume	159
DOIs	https://doi.org/10.1007/s11856-007-0043-5
State	Published - 1 Jun 2007

ASJC Scopus subject areas

General Mathematics

Access to Document

10.1007/s11856-007-0043-5

Cite this

@article{e964b033e9c7471ea1dd9d242ab96d9c,

title = "Infinite games on finite sets",

abstract = "We study a family of infinite games with imperfect information introduced by B. Model for two players that alternately remove and add points to a finite set. We investigate the existence of imperfect information strategies for the remover for different ambient cardinalities. We also study a variant of a game of D. Gale introduced by Scheepers and Weiss.",

author = "Uri Abraham and Rene Schipperus",

year = "2007",

month = jun,

day = "1",

doi = "10.1007/s11856-007-0043-5",

language = "English",

volume = "159",

pages = "205--219",

journal = "Israel Journal of Mathematics",

issn = "0021-2172",

publisher = "Springer New York",

}

TY - JOUR

T1 - Infinite games on finite sets

AU - Abraham, Uri

AU - Schipperus, Rene

PY - 2007/6/1

Y1 - 2007/6/1

N2 - We study a family of infinite games with imperfect information introduced by B. Model for two players that alternately remove and add points to a finite set. We investigate the existence of imperfect information strategies for the remover for different ambient cardinalities. We also study a variant of a game of D. Gale introduced by Scheepers and Weiss.

AB - We study a family of infinite games with imperfect information introduced by B. Model for two players that alternately remove and add points to a finite set. We investigate the existence of imperfect information strategies for the remover for different ambient cardinalities. We also study a variant of a game of D. Gale introduced by Scheepers and Weiss.

UR - http://www.scopus.com/inward/record.url?scp=58449108000&partnerID=8YFLogxK

U2 - 10.1007/s11856-007-0043-5

DO - 10.1007/s11856-007-0043-5

M3 - Article

AN - SCOPUS:58449108000

SN - 0021-2172

VL - 159

SP - 205

EP - 219

JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

ER -

Infinite games on finite sets

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this