Table 1 Tripartite game matrix for... | Emerald Publishing

Table 1

Tripartite game matrix for cascaded utilisation of retired power batteries

Third-party recycler			Cascade utilisation enterprise
Third-party recycler			Active cascade Utilisation $(z)$	Passive cascade utilisation $(1 - z)$
Battery Manufacturer	Recycled Material Remanufacturing $(x)$	High-Level Processing $(y)$	$M_{11} - θ C_{11} + S - P - Q$ ⁠, $R_{21} - C_{21} + Q$ ⁠, $π_{31} + P - C_{31}$	$M_{11} - θ C_{11} + S - Q + f$ ⁠, $R_{21} - C_{21} - T + Q$ ⁠, $π_{32} - f$
	Recycled Material Remanufacturing $(x)$	Low-Level Processing $(1 - y)$	$M_{11} - C_{11} + S - P + n$ ⁠, $R_{22} - n$ ⁠, $π_{31} - e + P - C_{31}$	$M_{11} - C_{11} + S + n + f$ ⁠, $R_{22} - D - n$ ⁠, $π_{32} - L - f$
	New Material Manufacturing $(1 - x)$	High-level Processing $(y)$	$M_{12} - ϕ C_{13} - C_{14}$ ⁠, $R_{21} - C_{21}$ ⁠, $π_{31} - C_{31}$	$M_{12} - ϕ C_{13} - C_{14}$ ⁠, $R_{21} - C_{21} - T$ ⁠, $π_{32}$
	New Material Manufacturing $(1 - x)$	Low-level processing $(1 - y)$	$M_{12} - C_{13} - C_{14}$ ⁠, $R_{22}$ ⁠, $π_{31} - e - C_{31}$	$M_{12} - C_{13} - C_{14}$ ⁠, $R 22 - D$ ⁠, $π_{32} - L$

Third-party recycler			Cascade utilisation enterprise
Third-party recycler			Active cascadeUtilisation $(z)$	Passive cascade utilisation $(1 - z)$
Battery Manufacturer	Recycled Material Remanufacturing $(x)$	High-Level Processing $(y)$	$M_{11} - θ C_{11} + S - P - Q$ , $R_{21} - C_{21} + Q$ , $π_{31} + P - C_{31}$	$M_{11} - θ C_{11} + S - Q + f$ , $R_{21} - C_{21} - T + Q$ , $π_{32} - f$
	Recycled Material Remanufacturing $(x)$	Low-Level Processing $(1 - y)$	$M_{11} - C_{11} + S - P + n$ , $R_{22} - n$ , $π_{31} - e + P - C_{31}$	$M_{11} - C_{11} + S + n + f$ , $R_{22} - D - n$ , $π_{32} - L - f$
	New Material Manufacturing $(1 - x)$	High-level Processing $(y)$	$M_{12} - ϕ C_{13} - C_{14}$ , $R_{21} - C_{21}$ , $π_{31} - C_{31}$	$M_{12} - ϕ C_{13} - C_{14}$ , $R_{21} - C_{21} - T$ , $π_{32}$
	New Material Manufacturing $(1 - x)$	Low-level processing $(1 - y)$	$M_{12} - C_{13} - C_{14}$ , $R_{22}$ , $π_{31} - e - C_{31}$	$M_{12} - C_{13} - C_{14}$ , $R 22 - D$ , $π_{32} - L$