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On the relation between Maximin[formula omitted] stability and Generalized Metarationality in bilateral conflicts.

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Title: On the relation between Maximin[formula omitted] stability and Generalized Metarationality in bilateral conflicts.
Authors: Silva, Alecio Soares1 (AUTHOR) alecio.soares@ufpe.br, Vieira, Giannini Italino Alves2 (AUTHOR) italino@ufc.br, Rêgo, Leandro Chaves1,3,4 (AUTHOR) leandro@dema.ufc.br
Source: Discrete Applied Mathematics. Apr2026, Vol. 383, p280-294. 15p.
Subjects: Conflict management, Mathematical induction
Abstract: In this work, assuming that preferences are asymmetric, complete and transitive, we aim to prove the equivalence, in bilateral conflicts, between the concepts of Maximin h stability and Generalized Metarationality within the graph model for conflict resolution (GMCR). This result is surprising, as these concepts are apparently distinct, due to the movements of the opponent of the focal DM, in the Generalized Metarationality, be limited by the use of a policy. To achieve our goal, we define a Maximin h tree to build maximin policies from the choices made by the focal DM opponent in this tree. We show that two kinds of maximin policies are necessary: one for conflict analysis with odd horizon and another for even horizon conflict analysis. This result, in addition to improving our understanding of these concepts, facilitates the determination of states that satisfy generalized metarationality, since maximin states can be determined by means of a backward induction procedure. [ABSTRACT FROM AUTHOR]
Copyright of Discrete Applied Mathematics is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: On the relation between Maximin[formula omitted] stability and Generalized Metarationality in bilateral conflicts.
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  Data: <searchLink fieldCode="JN" term="%22Discrete+Applied+Mathematics%22">Discrete Applied Mathematics</searchLink>. Apr2026, Vol. 383, p280-294. 15p.
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  Data: In this work, assuming that preferences are asymmetric, complete and transitive, we aim to prove the equivalence, in bilateral conflicts, between the concepts of Maximin h stability and Generalized Metarationality within the graph model for conflict resolution (GMCR). This result is surprising, as these concepts are apparently distinct, due to the movements of the opponent of the focal DM, in the Generalized Metarationality, be limited by the use of a policy. To achieve our goal, we define a Maximin h tree to build maximin policies from the choices made by the focal DM opponent in this tree. We show that two kinds of maximin policies are necessary: one for conflict analysis with odd horizon and another for even horizon conflict analysis. This result, in addition to improving our understanding of these concepts, facilitates the determination of states that satisfy generalized metarationality, since maximin states can be determined by means of a backward induction procedure. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Discrete Applied Mathematics is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – Type: doi
        Value: 10.1016/j.dam.2025.12.041
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      – Code: eng
        Text: English
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        PageCount: 15
        StartPage: 280
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        Type: general
      – SubjectFull: Mathematical induction
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      – TitleFull: On the relation between Maximin[formula omitted] stability and Generalized Metarationality in bilateral conflicts.
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            NameFull: Vieira, Giannini Italino Alves
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              Text: Apr2026
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              Y: 2026
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              Value: 383
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