Leveraging tools from the study of linear fractional transformations and algebraic Riccati equations, a local characterization of consistent conjectural variations equilibrium is given for two player games on continuous action spaces with costs approximated by quadratic functions. A discrete time dynamical system in the space of conjectures is derived, a solution method for computing fixed points of these dynamics (equilibria) is given, local stability properties of the dynamics around the equilibria are characterized, and conditions are given that guarantee a unique stable equilibrium.

翻译：利用线性分式变换和代数Riccati方程的研究工具，针对连续行动空间上成本由二次函数逼近的两玩家博弈，给出了局部一致猜想变动均衡的表征。推导了猜想空间中的离散时间动力系统，给出了计算这些动力学不动点（均衡）的求解方法，刻画了动力学在均衡点附近的局部稳定性性质，并给出了确保唯一稳定均衡的条件。