A Forward-Looking Nash Game and Its Application to Achieving Pareto-Efficient Optimization ()
Jie Ren,
Kai-Kit Wong,
Jianjun Hou
Department of Electronic and Electrical Engineering, University College London,
Torrington Place, London, UK.
School of Electronics and Information Engineering, Beijing Jiaotong University, Beijing, China.
DOI: 10.4236/am.2013.412218
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Abstract
Recognizing the fact that a player’s cognition plays a defining role in the resulting equilibrium of a game of competition, this paper provides the foundation for a Nash game with forward-looking players by presenting a formal definition of the Nash game with consideration of the players’ belief. We use a simple two-firm model to demonstrate its fundamental difference from the standard Nash and Stackelberg games. Then we show that the players’ belief functions can be regarded as the optimization parameters for directing the game towards a much more desirable equilibrium.
Share and Cite:
Ren, J. , Wong, K. and Hou, J. (2013) A Forward-Looking Nash Game and Its Application to Achieving Pareto-Efficient Optimization.
Applied Mathematics,
4, 1609-1615. doi:
10.4236/am.2013.412218.
Conflicts of Interest
The authors declare no conflicts of interest.
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