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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]
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Database: Engineering Source
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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]
ISSN:0166218X
DOI:10.1016/j.dam.2025.12.041