Table 3 The payoff matrix under the government’s negative supervision (1−x).

From: Shared recycling model for waste electrical and electronic equipment based on the targeted responsibility system in the context of China

Recycler

Manufacturer

Active performance (y)

Passive performance (1−y)

Participation (z)

Rg

\(-{C}_{g^{\prime} }\)

\(\begin{array}{ll}{\eta }_{1}{\sigma }_{2}({r}_{m}-{c}_{m})+{\tau }_{2}({r}_{m^{\prime} }-{c}_{m})+{\eta }_{1}b\\ +\,{\eta }_{1}{\mu }_{t}({p}_{t}-{l}_{m})+{\eta }_{1}{\mu }_{m}({i}_{m}-{p}_{m})-{C}_{s}-{l}_{m^{\prime} }\end{array}\)

\({u}_{m}{\tau }_{1}\)

\({\sigma }_{2}({r}_{t}-{r}_{m})+{\mu }_{t}({i}_{t}-{p}_{t})+{\mu }_{m}({p}_{m}-{l}_{t})+\Delta {C}_{t}-b-{C}_{p}\)

\({\sigma }_{3}({r}_{t}-{c}_{t})-\Delta {C}_{t}\)

Not participation (1−z)

\({R}_{g^{\prime} }-{C}_{g^{\prime} }\)

\(-{C}_{g^{\prime} }\)

\({\tau }_{2}({r}_{m^{\prime} }-{c}_{m})-{C}_{s}-{l}_{m^{\prime} }\)

\({u}_{m}{\tau }_{1}\)

\({\sigma }_{1}({r}_{t}-{c}_{t})-{C}_{o^{\prime} }\)

\({\sigma }_{1}({r}_{t}-{c}_{t})\)