Result Details

On the Proof of the Existence of Undominated Strategies in Normal Form Games

KOVÁR, M.; CHERNIKAVA, A. On the Proof of the Existence of Undominated Strategies in Normal Form Games. AMERICAN MATHEMATICAL MONTHLY, 2014, vol. 121, no. 04, p. 332-337. ISSN: 0002-9890.

Type

journal article

Language

English

Authors

Kovár Martin, doc. RNDr., Ph.D., UMAT (FEEC)
Chernikava Alena, Mgr., Ph.D., FIT (FIT), UMAT (FEEC)

Abstract

We correct the proof and generalize the well-known H. Moulin's Theorem. The original proof due to Herve Moulin conatined a wrong assumption that every chain has a cofinal susequence. We use the convergence theory expressed in terms of nets to bypass this mistake and to get a rather more general result.

Keywords

Undominated strategy, almost compact topological space, theta-convergence

Published

2014

Pages

332–337

Journal

AMERICAN MATHEMATICAL MONTHLY, vol. 121, no. 04, ISSN 0002-9890

DOI

10.4169/amer.math.monthly.121.04.332

UT WoS

000333320400004

EID Scopus

2-s2.0-84954438823

BibTeX

@article{BUT107360,
  author="Martin {Kovár} and Alena {Chernikava}",
  title="On the Proof of the Existence of Undominated Strategies in Normal Form Games",
  journal="AMERICAN MATHEMATICAL MONTHLY",
  year="2014",
  volume="121",
  number="04",
  pages="332--337",
  doi="10.4169/amer.math.monthly.121.04.332",
  issn="0002-9890"
}

Departments

Department of Mathematics (UMAT)