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Avtomatika i Telemekhanika, 2009, Issue 6, Pages 123–140 (Mi at487)  

This article is cited in 7 scientific papers (total in 7 papers)

Control in Social Economic Systems

Guaranteed results in games with forbidden situations

V. V. Tokarev

Institute for Systems Analysis, Russian Academy of Sciences, Moscow, Russia
Full-text PDF (213 kB) Citations (7)
References:
Abstract: The best guaranteed results in games where “others' ” control actions influence not only the utility function but also the admissibility set of each participant are analyzed and compared. The research is conducted without a formal reduction to classical games on direct products of rigid admissibility sets by means of penalized extension of the utility function. By the example of the generalized Cournot duopoly, it is shown that, for a chosen participant, his right to be the first to use common scarce resources might be more important than awareness of previous choices of his competitors. This means the possibility of violating the fundamental inequality of the classical game theory which states that the max-min of the utility function does not exceed its min-max, established for games on direct products of sets of admissible control actions.
Presented by the member of Editorial Board: D. A. Novikov

Received: 01.10.2008
English version:
Automation and Remote Control, 2009, Volume 70, Issue 6, Pages 1026–1042
DOI: https://doi.org/10.1134/S0005117909060095
Bibliographic databases:
Document Type: Article
PACS: 89.65.-s
Language: Russian
Citation: V. V. Tokarev, “Guaranteed results in games with forbidden situations”, Avtomat. i Telemekh., 2009, no. 6, 123–140; Autom. Remote Control, 70:6 (2009), 1026–1042
Citation in format AMSBIB
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\paper Guaranteed results in games with forbidden situations
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\pages 123--140
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\jour Autom. Remote Control
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\pages 1026--1042
\crossref{https://doi.org/10.1134/S0005117909060095}
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Linking options:
  • https://www.mathnet.ru/eng/at487
  • https://www.mathnet.ru/eng/at/y2009/i6/p123
  • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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