这是一份ucsc圣克鲁斯加利福尼亚大学ENVS 25作业代写的成功案
$$
z_{t}=g\left(\mu_{t}\right) y_{t}
$$
This specification of pollution and abatement comes from the DICE model (Nordhaus 2008).
In Angelopoulos et. al (2010), emissions are also a byproduct of production. The pollution abatement technology varies (i.e. the ratio of emissions to output is not fixed), but the change in this technology is stochastic, not endogenous. The pollution flow ( $\left.p_{t}\right)$ is modeled as
where $\phi_{t}$ is a stochastic, exogenous variable representing pollution technology. The flow of pollution affects the stock of environmental quality $\left(Q_{t}\right)$ according to
$$
Q_{t+1}=\left(1-\delta^{q}\right) \bar{Q}+\delta^{q} Q_{t}-p_{t}+v g_{t^{*}}
$$
ENVS 25COURSE NOTES ：
$$
F\left(K_{t}, M_{t}, L_{t}\right)=K_{t}^{\alpha} M_{t}^{\gamma} L_{t}^{1-\alpha-\gamma}
$$
The intermediate input is $M_{l}$, and its share of total factor inputs is given by the standard Cobb-
Douglas solution:
$$
\frac{M_{t}}{Y_{t}}=\frac{\gamma\left(1+\hat{\phi}{t} A{t, Y}\right)}{1+\hat{\phi}_{t}}
$$