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@article{187538,
        author = {Kavita Patel},
        title = {Game Theory in Topological Spaces: A Study of Strategic Equilibria and Fixed Point Principles},
        journal = {International Journal of Innovative Research in Technology},
        year = {2025},
        volume = {12},
        number = {6},
        pages = {5332-5336},
        issn = {2349-6002},
        url = {https://ijirt.org/article?manuscript=187538},
        abstract = {Game theory traditionally analyses strategic interactions in finite or convex spaces. However, many real-world systems—such as distributed networks, behavioural economics, and evolutionary biology—exhibit complex topological structures. This paper explores the application of game theory within the framework of topological spaces, highlighting the role of fixed point theorems, continuity, and compactness in the existence and stability of Nash equilibria. We provide formal definitions, illustrate theoretical models, present key results, and discuss implications for applied game-theoretic problems across economics, control systems, and information theory and a real-life example of an infinite game along with a solution approach using game theory and topology.},
        keywords = {Game Theory, Equilibria, Strategies, Nash Equilibrium.},
        month = {November},
        }