I am somewhat new to programming, and what I know about Sympy, Numpy, Scipy and GEKKO have been mostly self-taught within the last six-seven weeks, so I apologize if this inquiry seem elementary.
I am writing my master's thesis within industrial economics, and am currently analyzing a Hotelling model. The model I am analyzing consists of two stages: first stage, firms establishes themselves along a Hotelling line (an unit interval), and on the second stage these firms compete in prices (the second stage will always be simultaneous). The goal is to have this model work for n-number of firms. I have found Sympy extremely useful in finding explicit expressions for prices wrt. locations. These prices are inserted into their respective profit functions. From here on out, I am dependent on solving the model numerically to arrive at equilibrium locations. Since lambdifying these expressions and defining callable functions for them are straight-forward, solving the first stage simultaneous is not problematic using Scipy's minimize (or fsolve on the FOCs). But I am also analyzing what happens when the firms establishes one-by-one. Making this stage dynamic is quite another world of hurt for me, and so far I have only eyed hope the GEKKO-package could be my savior. Unfortunately this package is not compatible with Sympy expressions or the same methods that work with Scipy (See another inquiry I made regarding this on the APMonitor Google Group <https://groups.google.com/forum/#!topic/apmonitor/3dPmJu-T4AM> ). This is where I hope this community can assist me: Either by suggesting an alternate way of dynamically optimize my first stage for n-number of firms where I may use my expressions, or, I assume more realistically, some way of converting my Sympy-expressions into expressions that can be used in GEKKO. Kind regards, Martin Festøy -- You received this message because you are subscribed to the Google Groups "sympy" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To post to this group, send email to [email protected]. Visit this group at https://groups.google.com/group/sympy. To view this discussion on the web visit https://groups.google.com/d/msgid/sympy/2c94ef4a-a15b-43cc-9939-64428e6bbfcb%40googlegroups.com. For more options, visit https://groups.google.com/d/optout.
