I am looking for a package for solving simple college-level micro-economics problems. For example, I am looking for a software where I can:
- Define utility functions, e.g. $u_1(x,y) = x^2 y$, $u_2(x,y) = x y^2$;
- Define initial endowments $(x_1,y_1)$ and $(x_2,y_2)$;
- Find and plot all the Pareto-efficient allocations;
- Find and plot all the envy-free allocations;
- Find a competitive equilibrium.
Is there a SageMath package for this?