Table 4 Eigenvalues at each equilibrium state.

From: The evolutionary mechanism of haze collaborative governance: novel evidence from a tripartite evolutionary game model and a case study in China

Equilibrium point

Eigenvalue λ1

Eigenvalue λ2

Eigenvalue λ3

(1,1,1)

CC

TA − FA + CAMAδ1QA + δ2GA + λB

TBFB + CBMBδ1QB + δ2GB + λB

(1,1,0)

CCFBFC

δ2GA + λB−FA − MA − δ1QA + CA + RA

FBTB + MB + δ1QBδ2GB−λBCB

(1,0,1)

CCFAFC

FATA + MA + δ1QAδ2GAλBCA

δ2GB + λBFBMBδ1QB + CB + RB

(1,0,0)

CCFAFBFC

FA + MA + δ1QA − δ2GAλBCARA

FB + MB + δ1QBδ2GBλBCBRB

(0,1,1)

CC

TAMA − δ1QA + δ2GA + λB + CA

TBMB − δ1QB + δ2GB + λB + CB

(0,1,0)

CC + FB + FC

δ2GA + λB − MAδ1QA + CA + RA

−TB + MB + δ1QBδ2GBλBCB

(0,0,1)

−CC + FA + FC

−TA + MA + δ1QAδ2GAλBCA

δ2GB + λBMBδ1QB + CB + RB

(0,0,0)

CC + FA + FB + FC

MA + δ1QAδ2GAλBCA−RA

MB + δ1QBδ2GBλBCB−RB