Hobbes identifies the delegation of power from the individual to the state as the basis of political life. He thus sees political relationships as an exchange between the delegator and the delegatee for the sake of mutual increase in welfare. Politics is, therefore, tantamount to a market transaction.
The difference between politics and economics is that politics relates to insecurity whereas economics relates to scarcity.
Both politics and economics in Hobbes relate to the immature aspects of a human collective.