Forgive me if my understanding of politics and systems are not correct.
Welfare- Everyone who can fund must fund everyone else.
Capitalism - The person with the most drillers or bases receive from 2-4 10% drillers 5-8 15% drillers and 9-10 20% of their drillers every X amount of days.
The election - You have the option to campaign to be president. Everyone vote for your policies. Upon election you can adopt whatever policies you want whether promised or otherwise. People must follow the policy set forth or try to assassinate the president. The house/senate may elect not to set forth the policies by having a vote of 5 people in favor of rejecting the proposition.
Socialism - ??
Communism - Your specialist isn't your specialist? Every X amount of days your neighbors can demand a specialist for a specialist. So they can take your tycoon for their double agent.
Tradesman - For the first 2 days or X days you can't attack. However you can trade drillers, generators, factories, and specialist.