基于混合策略博弈的决策中心战机理量化方法OA

To address the problem that relying solely on the quantity of strategies is insufficient to fully characterize decision advantage in decision-centric warfare(DCW),the combined influence mecha‑nism of strategy quantity and strategy differentiation on asymmetric zero-sum game payoffs is investi‑gated.A game-theoretic quantitative model is constructed,in which combatants are mapped to players and kill-chain combinations are mapped to strategy sets.The"circle-box"method is used to derive the induction mechanism of strategy characteristics on mixed strategy equilibrium.Furthermore,the mar‑ginal effects of strategy quantity and differentiation on Nash equilibrium payoffs are analyzed based on the geometric properties of linear programming feasible regions.The model is validated through ordi‑nary least squares(OLS)regression using 4 320 game samples generated via Monte Carlo simulation.Results indicate that game payoffs exhibit a significant positive correlation with the logarithms of both the quantity and differentiation of one's own strategies,while demonstrating a significant negative cor‑relation with the logarithm of the opponent's strategy quantity.The mechanism of offsetting an oppo‑nent's scale advantage through maximizing strategy heterogeneity in asymmetric situations is effec‑tively quantified,providing a computable analytical framework for the study of DCW theory.