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- https://math.libretexts.org/Bookshelves/Applied_Mathematics/Applied_Finite_Mathematics_(Sekhon_and_Bloom)/11%3A_Game_TheoryGame theory is one of the newest branches of mathematics. It first came to light when a brilliant mathematician named Dr. John von Neumann co-authored with Dr. Morgenstern a book titled Theory of Game...Game theory is one of the newest branches of mathematics. It first came to light when a brilliant mathematician named Dr. John von Neumann co-authored with Dr. Morgenstern a book titled Theory of Games and Economic Behavior. Since then it has played an important role in decision making in business, economics, social sciences and other fields. This chapter covers principles of game theory. After completing this chapter students should be able to: solve strictly determined games and solve games in
- https://math.libretexts.org/Bookshelves/Scientific_Computing_Simulations_and_Modeling/Introduction_to_the_Modeling_and_Analysis_of_Complex_Systems_(Sayama)/01%3A_Introduction_to_Modeling_and_Analysis/1.02%3A_Topical_ClustersNonlinear dynamics is probably the topical cluster that has the longest history, at least from as far back as the 17th century when Isaac Newton and Gottfried Wilhelm Leibniz invented calculus and dif...Nonlinear dynamics is probably the topical cluster that has the longest history, at least from as far back as the 17th century when Isaac Newton and Gottfried Wilhelm Leibniz invented calculus and differential equations.
- https://math.libretexts.org/Courses/Stanford_Online_High_School/Logic_for_All%3A_An_Introduction_to_Logical_Reasoning/11%3A_Modal_LogicThis page introduces modal logic, which incorporates modalities like necessity and possibility to reason about various scenarios. It outlines key operators such as necessity (□) and possibility (◇), w...This page introduces modal logic, which incorporates modalities like necessity and possibility to reason about various scenarios. It outlines key operators such as necessity (□) and possibility (◇), with applications in philosophy, computer science, law, and AI. The text also covers axioms defining different modal systems (e.g., S5, S4), clarifying common misconceptions and providing exercises for practical understanding.
