2011 Fiscal Year Final Research Report
Extension of standard game dynamics and its applications
| Project/Area Number |
21500210
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Sensitivity informatics/Soft computing
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| Research Institution | Hokkaido University |
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Principal Investigator |
SATO Yuzuru 北海道大学, 電子科学研究所, 准教授 (30342794)
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| Project Period (FY) |
2009 – 2011
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| Keywords | 複雑系 / 時空カオス / ゲーム力学系 / 情報理論 |
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| Research Abstract |
We extend the standard game dynamics to N-person game dynamics, Markov game dynamics, and continuous game dynamics and study them in terms of dynamical systems theory. (1) N-person game dynamics : The model is described as coupled map lattice and globally coupled maps, and shows complex nonlinear behavior such as traveling waves, spatiotemporal chaos, spatiotemporal intermittency. (2) Markov game dynamics : Players are modeled not by probability distributions, but by simple Markov systems. We analyze them dynamical systems theoretically and information theoretically. (3) Continuous game dynamics : Mixed strategies for continuous actions are modeled as probability density functions and a PDE model is constructed.
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