Optimum Strategies in Decision making using Game Theory in Achieving Sustainable Development Goals

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contents <p>Abstract <br>Thepursuit of sustainability is a paramount <br>objective for both business strategists and <br>policy makers. Game theory provides a <br>robust mathematical framework for <br>modeling competitive and cooperative <br>interactions, making it highly applicable <br>for strategic decision-making in these <br>domains. <br>This paper demonstrates the application of <br>game theory to derive optimal decision<br>making strategies that support the <br>achievement of Sustainable Development <br>Goals (SDGs). It focuses specifically on <br>elucidating arithmetic (oddment) and <br>algebraic methods for solving 2x2 games <br>without a saddle point. <br>The study employs established game<br>theoretic principles, including the maximin <br>criterion and dominance, to reduce <br>complex games. For 2x2 zero-sum games <br>without a saddle point, detailed derivations <br>of the arithmetic and algebraic methods are <br>presented to compute optimal mixed <br>strategies and the value of the game. <br>Through illustrative examples, the paper <br>confirms the efficacy of these methods in <br>determining optimum strategies. The <br>arithmetic method offers a simplified, <br>computational approach, while the <br>algebraic method provides a rigorous, <br>formulaic solution, both yielding <br>consistent results for player strategies and <br>game value. <br>Game theory is a powerful tool for <br>enhancing strategic decision-making in <br>competitive environments. The derived <br>methods provide a clear and actionable <br>framework for policymakers and managers</p> <p>to formulate optimal strategies, thereby <br>facilitating more effective progress  <br>towardssustainabledevelopment objectives.   </p>
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spellingShingle Optimum Strategies in Decision making using Game Theory in Achieving Sustainable Development Goals
IJMSRT
<p>Abstract <br>Thepursuit of sustainability is a paramount <br>objective for both business strategists and <br>policy makers. Game theory provides a <br>robust mathematical framework for <br>modeling competitive and cooperative <br>interactions, making it highly applicable <br>for strategic decision-making in these <br>domains. <br>This paper demonstrates the application of <br>game theory to derive optimal decision<br>making strategies that support the <br>achievement of Sustainable Development <br>Goals (SDGs). It focuses specifically on <br>elucidating arithmetic (oddment) and <br>algebraic methods for solving 2x2 games <br>without a saddle point. <br>The study employs established game<br>theoretic principles, including the maximin <br>criterion and dominance, to reduce <br>complex games. For 2x2 zero-sum games <br>without a saddle point, detailed derivations <br>of the arithmetic and algebraic methods are <br>presented to compute optimal mixed <br>strategies and the value of the game. <br>Through illustrative examples, the paper <br>confirms the efficacy of these methods in <br>determining optimum strategies. The <br>arithmetic method offers a simplified, <br>computational approach, while the <br>algebraic method provides a rigorous, <br>formulaic solution, both yielding <br>consistent results for player strategies and <br>game value. <br>Game theory is a powerful tool for <br>enhancing strategic decision-making in <br>competitive environments. The derived <br>methods provide a clear and actionable <br>framework for policymakers and managers</p> <p>to formulate optimal strategies, thereby <br>facilitating more effective progress  <br>towardssustainabledevelopment objectives.   </p>
title Optimum Strategies in Decision making using Game Theory in Achieving Sustainable Development Goals
url https://doi.org/10.5281/zenodo.17527972