Bueno de Mesquita and Smith clearly stipulate the characteristics, rules and how autocracies and democracies can and should operate. As they mentioned, autocratic regimes have fewer people to please, who form their “essentials.” And pleasing them means you have a limited number of people to work with, though requires huge sums of money. Because the autocrat was not elected, he basically owes nothing the larger population. It’s all about himself, his “influencials” and essentials.” Incorporating a larger population, the “interchangeable,” means you are accountable to the nation. That prevents the leader from satisfying only a few people he or she trusts and could protect him from enemies or potential threats to the seat of government. A larger coalition also means that each citizen, whether they voted for you or not, must benefit from the public good. A lack of public good will see that leader exiting the stage. If everything goes as expected, the “interchangeable” will ensure they stayed in power and continued their work. That way, you have their support, your government gains legitimacy and favor.
For authoritarian regimes, what they could learn is that, it is better to have the support of the larger population to cement their leadership, rather than a few cronies who will switch camps when the tables turn. Their betrayal means the downfall of that regime. Their inner members cannot always be trusted, and that they are not safe at all.