Analysis of Tripartite Evolutionary Game in Marketization of New Energy Electricity Prices Based on Large Language Models | Wuhan University Journal of Natural Sciences

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Table 3

Eigenvalues of the Jacobian matrix

Equilibrium point	Eigenvalue $λ_{1}$	Eigenvalue $λ_{2}$	Eigenvalue $λ_{3}$
E₁(0,0,0)	$- C_{a}$	$- C_{b} + L_{b}$	$t_{0} s Q_{0} - t_{1} d - s + d$
E₂(0,0,1)	$- C_{a}$	$d - C_{b} + L_{b}$	$- t_{0} s Q_{0} + t_{1} d + s - d$
E₃(0,1,0)	$(Q_{1} - Q_{0}) (P_{1} + g) - C_{a}$	$C_{b} - L_{b}$	$t_{0} s Q_{0} - s$
E₄(0,1,1)	$(Q_{1} - Q_{0}) (P_{1} + g + s) - C_{a}$	$- d + C_{b} - L_{b}$	$- t_{0} s Q_{0} + s$
E₅(1,0,0)	$C_{a}$	$t_{r} Q_{1} - t_{r} Q_{0} - C_{b}$	$t_{0} s Q_{0} - t_{1} d - s + d$
E₆(1,0,1)	$C_{a}$	$t_{r} Q_{1} + d - t_{r} Q_{0} - C_{b}$	$- t_{0} s Q_{0} + t_{1} d + s - d$
E₇(1,1,0)	$- (Q_{1} - Q_{0}) (P_{1} + g) + C_{a}$	$- t_{r} Q_{1} + t_{r} Q_{0} + C_{b}$	$t_{0} s (2 Q_{0} - Q_{1}) - s$
E₈(1,1,1)	$- (Q_{1} - Q_{0}) (P_{1} + g + s) + C_{a}$	$- t_{r} Q_{1} - d + t_{r} Q_{0} - C_{b}$	$- t_{0} s (2 Q_{0} - Q_{1}) + s$

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