Micro-economics package
 
  
 
  
 
 
 
 
 
 
    
        
        asked 9 years ago  
 
 Erel Segal-Halevi gravatar image  
 
 
 
 
 
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;
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  • Define initial endowments (x1,y1) and (x2,y2);
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  • Find and plot all the Pareto-efficient allocations;
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  • Find and plot all the envy-free allocations;
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  • Find a competitive equilibrium.
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Is there a SageMath package for this?
 
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Comments
Not that I know of.  There is some game-theoretic stuff but not this.  I assume there are well-known algorithms for finding such Pareto and envy-free allocations?
kcrisman gravatar imagekcrisman (
    
        9 years ago
    )
Yes, there are algorithms but there are many fine details (e.g. if the function is smooth there is one algorithm, if it is continuous but not smooth there is another algorithm, etc.)
Erel Segal-Halevi gravatar imageErel Segal-Halevi (
    
        9 years ago
    )
2
Do you know some (free-software) packages that do that ? In case, we could include them within Sagemath.
tmonteil gravatar imagetmonteil (
    
        8 years ago
    )
a bit late to the party but im working on trying to figure that out myself. check out my recent questions if you're still interested a bit under 5 years later.
EconJohn gravatar imageEconJohn (
    
        4 years ago
    )
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