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Matrix games with uncertain entries: A robust approach

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60460709%3A41110%2F18%3A76859" target="_blank" >RIV/60460709:41110/18:76859 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Matrix games with uncertain entries: A robust approach

  • Original language description

    In classical game theory, a conflict of two opponents can be modelled as an equilibrium-based matrix game. We assume a conflict of two non-cooperative antagonistic opponents with a finite number of strategies with zero-sum or constant sum pay-offs. In the same time, we suppose that the elements of the payoff matrix describing the game are not fixed and are allowed to change within a specified interval. Supposing that some of the elements of the payoff matrix are uncertain, it is evident that this would influence the utilities of both players at the same time and moreover, such entropy of the model would eventually influence the position of equilibria or its very existence. We propose a modelling approach that allows one to find a solution of the game with either pure or mixed strategies of opponents with the guaranteed payoffs under the assumption that a specified number of unspecified entries would attain different values than expected. The chosen robust approach is presented briefly as well as th

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • OECD FORD branch

    10102 - Applied mathematics

Result continuities

  • Project

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2018

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    36th International Conference Mathematical Methods in Economics

  • ISBN

    978-80-7378-372-3

  • ISSN

  • e-ISSN

  • Number of pages

    6

  • Pages from-to

    139-144

  • Publisher name

    MatfyzPress

  • Place of publication

    Praha

  • Event location

    Jindřichův Hradec

  • Event date

    Sep 12, 2018

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article