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Homotopy Continuation Method for Discounted Zero-Sum Stochastic Game with ARAT Structure

A. Dutta and A. K. Das ()
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A. Dutta: Department of Mathematics, Jadavpur University, Kolkata 700 032, India
A. K. Das: SQC & OR Unit, Indian Statistical Institute, Kolkata 700 108, India

International Game Theory Review (IGTR), 2023, vol. 25, issue 03, 1-18

Abstract: In this paper, we introduce a new function to trace the trajectory by applying the modified homotopy continuation method for finding the solution of two person zero-sum discounted stochastic ARAT game. For the proposed algorithm, the homotopy path approaching the solution is smooth and bounded.

Keywords: Two-person zero-sum stochastic game; discounted ARAT stochastic game; homotopy method; optimal value; optimal stationary strategy (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (1)

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DOI: 10.1142/S0219198923400042

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