Bimatrix games with unique equilibrium points

1974 ◽  
Vol 3 (2) ◽  
pp. 115-118 ◽  
Author(s):  
V. L. Kreps
Keyword(s):  
Equilibrium Points ◽  
Bimatrix Games ◽  
Unique Equilibrium

Equilibrium Points of Bimatrix Games

1964 ◽  
Vol 12 (2) ◽  
pp. 413-423 ◽  
Author(s):  
C. E. Lemke ◽  
J. T. Howson, Jr.
Keyword(s):  
Equilibrium Points ◽  
Bimatrix Games

scholarly journals LOWER BOUNDS FOR THE MAXIMUM NUMBER OF LIMIT CYCLES OF DISCONTINUOUS PIECEWISE LINEAR DIFFERENTIAL SYSTEMS WITH A STRAIGHT LINE OF SEPARATION

2013 ◽  
Vol 23 (04) ◽  
pp. 1350066 ◽  
Author(s):  
J. LLIBRE ◽  
M. A. TEIXEIRA ◽  
J. TORREGROSA
Keyword(s):  
Lower Bound ◽  
Lower Bounds ◽  
Limit Cycles ◽  
Piecewise Linear ◽  
Equilibrium Points ◽  
Unique Equilibrium ◽  
Differential Systems ◽  
Linear Differential Systems ◽  
Straight Line ◽  
Linear Differential

In this paper, we provide a lower bound for the maximum number of limit cycles of planar discontinuous piecewise linear differential systems defined in two half-planes separated by a straight line. Here, we only consider nonsliding limit cycles. For those systems, the interior of any limit cycle only contains a unique equilibrium point or a unique sliding segment. Moreover, the linear differential systems that we consider in every half-plane can have either a focus (F), or a node (N), or a saddle (S), these equilibrium points can be real or virtual. Then, we can consider six kinds of planar discontinuous piecewise linear differential systems: FF, FN, FS, NN, NS, SS. We provide for each of these types of discontinuous differential systems examples with two limit cycles.

Regular equilibrium points of bimatrix games

OR Spectrum ◽  
1987 ◽  
Vol 9 (2) ◽  
pp. 87-92 ◽  
Author(s):  
M. J. M. Jansen
Keyword(s):  
Equilibrium Points ◽  
Bimatrix Games ◽  
Regular Equilibrium

Equilibrium Points in Bimatrix Games

1958 ◽  
Vol 3 (3) ◽  
pp. 297-309 ◽  
Author(s):  
N. N. Vorob’ev
Keyword(s):  
Equilibrium Points ◽  
Bimatrix Games
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