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Completely mixed linear games on a self-dual cone

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Publication:269273
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DOI10.1016/j.laa.2015.05.025zbMath1334.91003OpenAlexW756215876MaRDI QIDQ269273

M. Seetharama Gowda

Publication date: 18 April 2016

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2015.05.025


zbMATH Keywords

strategysymmetric conevalue\(\mathbf{Z}\)-transformationcompletely mixed gameself-dual cone


Mathematics Subject Classification ID

2-person games (91A05) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Simple, semisimple Jordan algebras (17C20)


Related Items (4)

On symmetric linear games ⋮ Lyapunov rank of polyhedral positive operators ⋮ Gaddum's test for symmetric cones ⋮ Linear Games and Complementarity Problems



Cites Work

  • Unnamed Item
  • Unnamed Item
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  • On the game-theoretic value of a linear transformation relative to a self-dual cone
  • Positive groups on \(\mathcal H^n\) are completely positive
  • Completely mixed games and M-matrices
  • Positive operators and an inertia theorem
  • A contribution to von Neumann's theory of games
  • The Game-Theoretic Value and the Spectral Radius of a Nonnegative Matrix
  • Cross-Positive Matrices


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