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. u1(x,y)=x2y, u2(x,y)=xy2;
- Define initial endowments (x1,y1) and (x2,y2);
- 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?