I have to solve for a maximization problemwith greek letters and simplify the expression but I don't know how to proceed

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Nordine Bouchelia 2022-4-22

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评论： Nordine Bouchelia 2022-4-23

Hello,

I'd like to know how to insert greek letters in the command window to solve a maximization problem and also to simplify an expression. Actually, I don't need matlab to maximize but to simplify expressions with greek letters. Could you help me please ?

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Andres 2022-4-22

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编辑：Andres 2022-4-22

在 MATLAB Online 中打开

To simplify expressions you need the Symbolic Math Toolbox in Matlab

https://de.mathworks.com/help/symbolic/simplify-symbolic-expressions.html

or another computer algebra system

https://en.wikipedia.org/wiki/List_of_computer_algebra_systems

A greek letter inside a variable name throws an error

>> syms β
Error using syms
Invalid variable name.

so use a valid variable name instead like

syms beta

https://de.mathworks.com/help/matlab/matlab_prog/variable-names.html

https://de.mathworks.com/matlabcentral/answers/58292-what-letters-can-be-used-in-variable-names

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Torsten 2022-4-23

I'd like just to maximize for pi_H and Pi_G for the third period and get the optimal p_3^D* and omega_3^D* by substituting p_3^D* into omega_3^D.

Sorry, I still don't get what you are trying to do. Are pi_H and Pi_G already derivatives of an objective function with respect to omega_3^D and p_3^D and you want to solve pi_H = 0 and Pi_G = 0 for omega_3^D* and p_3^D* to satisfy the necessary condition for a maximum ?

Nordine Bouchelia 2022-4-23

No pi_H and pi_G are the objective functions of the whole 3 periods summed together for firm H and G

I need to derive with repect to omega_3^D and p_3^D and solve for the optimal values.

But for the expression of omega_3^D I for example, I need to get rid of the p_3^D so, substitute it inside the expression and find the same results as described above.

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