这是一份anu澳大利亚国立大学ECON2026作业代写的成功案例

$$
\sum_{i} s_{i} U_{i}\left(s_{i}, s_{i}, g_{i}\right)=\sum s_{i}\left(1-q_{f}\right) b-c=[1-\delta(1-\mathrm{H})] b-c
$$
$\mathrm{H}=\Sigma_{i} s_{i}^{2}$ is the Herfindahl index. If on the other hand all players adopt the version of the largest player, overall utility is equal to
$$
\sum s_{i} U_{i}\left(s_{i}, 1, g_{1}\right)=b-c-\left(1-s_{1}\right) c_{m}
$$
Thus the net welfare gain of switching to $g_{1}$ is equal to:
$$
\delta(1-\mathrm{H}) b-\left(1-s_{1}\right) c_{m}
$$
This is positive if:
$$
c_{m} / b<\delta(1-\mathrm{H}) /\left(1-s_{j}\right)
$$

ECON2026 COURSE NOTES ：

Formally, the cost function used here is given by
$$
\begin{aligned}
C\left(w, x^{f}, y^{r}, s, t\right)=& y_{x, t}^{r} \times\left[\sum_{i=1}^{n} \sum_{j=1}^{w} \beta_{i j}\left(w w_{i}\right){s, t}^{1 / 2}+\sum{i=1}^{n} \sum_{j=1}^{m} \gamma_{i j}\left(w x_{j}^{f}\right){s, t}\right.\ &\left.+\sum{i=1}^{n} \delta_{A}\left(w_{i}\right){s t r} \times t+\sum{i=1}^{n} \delta_{i 2}(w){s, t} \times t^{2}\right] \end{aligned} $$ where $C$ is the real total variable cost, $s$ is the industry $(s=1$ : banking, $s=2$ : insurance), and $\beta{i g}, \gamma_{i j}, \delta_{i j}$ are unknown parameters.

Applying Shephard’s lemma to the above cost function, we derive the conditional (with respect to output and the quasi-fixed factors) demand equations for the variable labour inputs $x_{i}^{v}, i \in{U S, M S, H S}_{:-\left(x_{i}^{v}\right){s, t}}=\left(\partial \mathrm{C}(-) / \partial w{i}\right){x, i^{-}}$The division of these factor demands by real value added yields a system of input-output coefficients of the following form: $$ (\pi){x, t} \equiv\left(\frac{x_{i}^{v}}{y^{r}}\right){s, t}=\sum{j=1}^{n} \beta_{i j}\left(w / w_{i}\right){s, t}^{1 / 2}+\sum{j=1}^{m} \gamma_{i j}\left(x_{j}^{f}\right){s, t}+\delta{A} \times t+\delta_{j 2} \times t^{2}
$$