Pylint error with abstract member variable

It is best to define name in A. Consider somebody (or you in couple weeks) wants to inherit from A and implements abstract_function:

class C(A):
    def abstract_function(self):
        print 'This is not an abstract class'

Now the following will raise an error even though nothing in C seems to be wrong:

c = C()
c.random_function()

If you are using self.name in A it should be defined there (and let's say it should default to something sensible saying it's not ready to use):

class A(object):
    name = None
    def random_function(self):
        print self.name

This will make your code cleaner/less error-prone and you will also get rid of the pylint error.

If you suffix A with Mixin, pylint will not report it

In your case I'd could use the following option:

pylint solution.py --generated-members=name

However, it's better to consider adding name = None to the base class.