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Algebraic Verification of Finite Group-Based potential Games with Vector Payoffs

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Journal of Systems Science & Complexity 2022年第6期35卷 2131-2144页

作者： WANG Yuanhua LI Haitao Business School Shandong Normal UniversityJi'nan 250014China School of Mathematics and Statistics Shandong Normal UniversityJi'nan 250014China

This paper studies a class of strategic games,where players often collaborate with other players to form a group when making decisions,and the payoff functions of players in such games are presented as vector ***,using the semi-tensor product(STP)method,it is proved that a finite game with vector payoffs is potential if and only if its potential equation has *** adding a suitable weight vector to the vector payoffs of each player,a finite game with vector payoffs that is not potential can be converted into a potential ***,as a natural generalization,the authors consider the verification problem of the group-based potential games with vector *** solving a linear potential equation,a simple formula is obtained to calculate the corresponding potential ***,some examples are presented and discussed in detail to illustrate the theoretical results.

关键词： Group-based potential games potential equation semi-tensor product of matrices vector payoffs

Compressible Subsonic potential Flow Past a 2D Given Sharp Angular Unbounded Domain

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Acta Mathematica Sinica,English Series 2013年第2期29卷 393-404页

作者： Hui YANG School of Mathematics & Physics Anhui University of Technology Department of Mathematics & IMS Nanjing University

In this paper, we focus on the two-dimensional subsonic flow problem around an infinite long ramp. The flow is assumed to be steady, isentropic and irrotational, namely, the movement of the flow is described by a second elliptic equation. By the use of a separation variable method, Strum- Liouville theorem and scaling technique, we show that a nontriviM subsonic flow around the infinite long ramp does not exist under some certain assumptions on the potential flow with a low Mach number.

关键词： Ramp subsonic flow potential equation weighted Holder space

Global Existence of a Shock for the Supersonic Flow Past a Curved Wedge

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Acta Mathematica Sinica,English Series 2006年第5期22卷 1425-1432页

作者： Hui Cheng YIN Department of Mathematics Nanjing University Nanjing 210093 P. R. China

This note is devoted to the study of the global existence of a shock wave for the supersonic flow past a curved wedge. When the curved wedge is a small perturbation of a straight wedge and the angle of the wedge is le... 详细信息

关键词： potential equation shock wave wedge global existence