You might be interested in a past post on this topic:

• What would Carthage's government be like post Hannibal's reforms?
  ^(27 Jun 2014 | 1 comment)
  ^(/u/ScipioAsina both describes the Carthaginian government after the reforms and also links to a past answer about its nature prior to said reforms.)

You can ask followup questions by posting your questions in the comments with experts tagged to direct questions to them.