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Micro-economics package

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?