Titik Setimbang Nash pada Permainan Linear Kuadratik Non-kooperatif dengan Asumsi Keseluruhan Pemain dapat Menstabilkan Sistem

Ezhari Asfa’ani

Abstract


We discuss about Nash equilibria for the linear quadratic differential game for an infinite planning horizon. We consider an open-loop information structure. In the standard literature this problem is solved under the assumption and provide both necessary and sufficient conditions for existence of Nash equilibria for this game under the assumption that the system as a whole is stabilizable.      

Keywords: linear quadratic differential games, open-loop information structure


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DOI: https://doi.org/10.15548/mej.v1i2.28
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Ruang Jurnal Program Studi Tadris Matematika
Fakultas Tarbiyah dan Keguruan
Universitas Islam Negeri Imam Bojol Padang
email: mej.uinibpadang@gmail.com

 

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