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Equilibrium Solutions of Two-Person Non-Zero-Sum Games in Extensive Form and the Corresponding Quadratic Programming Problems
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- NISHIZAKI Ichiro
- Graduate School of Engineering, Hiroshima University
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- KATAGIRI Hideki
- Graduate School of Engineering, Hiroshima University
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- NOTSU Takuma
- Graduate School of Engineering, Hiroshima University
Bibliographic Information
- Other Title
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- 展開型2人非ゼロ和ゲームの均衡解と2次計画問題
- テンカイガタ 2ニン ヒゼロ ワ ゲーム ノ キンコウカイ ト 2ジ ケイカク モンダイ
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Description
This paper deals with two types of two-person non-zero-sum games in extensive form. We formulate quadratic programming problems whose decision variables correspond to behavioral strategies of players and show that optimal solutions to the formulated problems are equilibrium solutions of the games. We give two examples and demonstrate how to obtain equilibrium solutions by using the relation between the equilibrium solutions and the quadratic programming problems.
Journal
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- Transactions of the Institute of Systems, Control and Information Engineers
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Transactions of the Institute of Systems, Control and Information Engineers 17 (7), 263-269, 2004
THE INSTITUTE OF SYSTEMS, CONTROL AND INFORMATION ENGINEERS (ISCIE)
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Details 詳細情報について
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- CRID
- 1390282680142569472
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- NII Article ID
- 10013226297
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- NII Book ID
- AN1013280X
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- ISSN
- 2185811X
- 13425668
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- NDL BIB ID
- 7002646
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- Text Lang
- ja
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- Data Source
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- JaLC
- NDL Search
- Crossref
- CiNii Articles
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- Abstract License Flag
- Disallowed