Differentiate a function for a game theory application?

Questions
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1

I’ve defined the following function for a game theory application I’m working on:

a[q_ s1_ s2_] := ((1 - q + s1*(1 + q*s2))/(1 + s2))

When I differentiate with respect to s1 like this,

D[a[q, s1, s2], s1]

Mathematica simply returns my command. It does not give me an error message. What’s going on? I’ve already done this derivative by hand, but I have many more equations like this, so I’d prefer to have the computer spit them out for me.

2

Hello, the definition of your function is wrong, because missing commas , I’ll share it with corrections , plus a picture so you can see that actually works

a[q_ , s1_, s2_] := ((1 - q + s1*(1 + q*s2))/(1 + s2))

D[a[q, s1, s2], s1]

Here is the picture!!!

fuvc.JPG
fuvc.JPG495×165 11.2 KB

3

Missing commas in function definition.

In[11]:= a[q_, s1_ , s2_] := ((1 - q + s1*(1 + q*s2))/(1 + s2))

In[12]:= D[a[q, s1, s2], s1]

Out[12]= (1 + q s2)/(1 + s2)