Table 9 Equilibrium point of the...

Table 9

Equilibrium point of the nonlinear dynamic reward-penalty mechanism

Equilibrium point	$λ_{1}$	$λ_{2}$	$λ_{3}$
$E_{1} (0, 0, 0)$	$- A + n + f$	$- H + D - T + α_{1} n$	$- K - e + L + β_{1} f$
$E_{2} (1, 0, 0)$	$A - n - f$	$- H + D - T + Q + n + α_{1} n$	$- K + L - e + P + f + β_{1} f$
$E_{3} (0, 1, 0)$	$- B + β f - Q$	$H - D + T - \frac{α_{2}}{c_{21}} + μ_{1} Q + \frac{μ_{2}}{1 - C_{21}}$	$- K + β_{1} f$
$E_{4} (0, 0, 1)$	$- A + α n - P$	$- H + α_{1} n$	$K - L + e - \frac{β_{2}}{c_{31}} + ν_{1} P + \frac{ν_{2}}{1 - C_{31}}$
$E_{5} (1, 1, 0)$	$B - f + Q$	$H - D + T - Q - n - \frac{α_{2}}{c_{21}} + μ_{1} Q + \frac{μ_{2}}{1 - C_{21}}$	$- K + P + f + β_{1} f$
$E_{6} (1, 0, 1)$	$A - n + P$	$- H + Q + n + α_{1} n$	$K - L + e - P - f - \frac{β_{2}}{c_{31}} + ν_{1} P + \frac{ν_{2}}{1 - C_{31}}$
$E_{7} (0, 1, 1)$	$- B - Q - P$	$H - \frac{α_{2}}{c_{21}} + μ_{1} Q + \frac{μ_{2}}{1 - C_{21}}$	$K - \frac{β_{2}}{c_{31}} + ν_{1} P + \frac{ν_{2}}{1 - C_{31}}$
$E_{8} (1, 1, 1)$	$B + Q + P$	$H - Q - n - \frac{α_{2}}{c_{21}} + μ_{1} Q + \frac{μ_{2}}{1 - C_{21}}$	$K - P - f - \frac{β_{2}}{c_{31}} + ν_{1} P + \frac{ν_{2}}{1 - C_{31}}$

Sharing Unavailable