Table 3 The expression of each factor of Jacobian matrix.

From: NEV battery recycling innovation strategy considering pro-social behavior from the game theory perspective

 

Expression

\(a_{11}\)

\((1 - 2x)[\gamma \Pi_{P} - C_{P} + d + (\delta_{P} - \beta \Pi_{P} )y]\)

\(a_{12}\)

\(x(1 - x)[\delta_{P} - \beta \Pi_{P} ]\)

\(a_{21}\)

\(y(1 - y)(\delta_{R} - \alpha \Pi_{R} )\)

\(a_{22}\)

\((1 - 2y)[\theta \Pi_{R} + E - C_{R} - (\mu_{2} - \mu_{1} )T + (\delta_{R} - \alpha \Pi_{R} )x]\)