OPTGAME: An algorithm approximating solutions for multi-player difference games

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Abstract

We present a new numerical tool to determine solutions of non-zero-sum multi-player difference games. In particular, we describe the computer algorithm OPTGAME (version 2.0) which solves affine-quadratic games and approximates solutions for nonlinear games iteratively by using a local linearization procedure. The calculation of these solutions (open-loop and feedback Nash and Stackelberg equilibrium solutions) is sketched, as is the determination of the cooperative Paretooptimal solution. © 2007 Springer.

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Behrens, D. A., & Neck, R. (2007). OPTGAME: An algorithm approximating solutions for multi-player difference games. In Advances and Innovations in Systems, Computing Sciences and Software Engineering (pp. 93–98). https://doi.org/10.1007/978-1-4020-6264-3_18

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