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1. Foundations of Computational Limits: Gödel’s Theorems and Local Linearity Gödel’s incompleteness theorems revolutionized our understanding of formal systems by proving that within any sufficiently powerful mathematical framework, truths exist beyond formal proof. This inherent incompleteness mirrors computational boundaries—no algorithm can universally decide all mathematical statements. In numerical methods, this manifests through the critical role…
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L’étude de la stratégie et de la coopération dans les sociétés modernes repose souvent sur des concepts issus de la théorie des jeux. Parmi ceux-ci, l’équilibre de Nash occupe une place centrale, permettant de comprendre comment des acteurs rationnels prennent des décisions interdépendantes. Cet article propose une exploration approfondie de ce concept, illustrée par des…
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