The finite-horizon Riccati recursion's fixed points equal infinite-horizon Nash equilibria, and its cycles, if any, are periodic Nash equilibria.
C hance- constrained linear quadratic gaussian games for multi-rob ot interaction under uncertainty,
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Bridging Finite and Infinite-Horizon Nash Equilibria in Linear Quadratic Games
The finite-horizon Riccati recursion's fixed points equal infinite-horizon Nash equilibria, and its cycles, if any, are periodic Nash equilibria.