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Also it is not proven that the algorithm is stable in larger networks.
It is proven that the algorithm converges to a Nash Equilibrium under certain conditions.
It is proven that the algorithm ends up to be a model-free iterative algorithm to solve the GARE of the linear quadratic discrete-time zero-sum game.
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We prove that the algorithm also works in those cases.
We prove that the algorithm achieves constant message and linear time complexity.
Meanwhile, in [8], the authors Combettes and Wajs also proved that the algorithm converged weakly.
They proved that the algorithm (1.14) converges weakly to some element of A-10.
We will theoretically prove that the algorithm converges for a relevantly chosen initialization value.
We prove that the algorithm based on the smoothed penalty functions is convergent under mild conditions.
It is proved that the algorithm we propose can obtain strong convergence.
Meanwhile, we prove that the algorithm converges with probability one, which means that an accurate clock synchronization is achieved.
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