People of a non-democratic government would like to change their regime to get rid of non-democratic rulers and replace them by a democracy. Suppose the people’s utility from the non-democratic regime is 0 and their utility from the democratic regime is Dp > 0. However, they may get the democratic regime by revolting. If they revolt, they have to pay a cost of revolution Rp, where Dp > Rp > 0. Note they pay this cost whenever they revolt.
The non-democratic leader has (i) a utility of N` if there is both no democratization and no revolution and (ii) a utility of D` if there is democratization and no revolution. Here N` > D` > 0. However, if there is a revolution, the non-democratic leader has a utility of 0 if they insist on no democratization and a utility of D` − C` > 0 if they give into democratization.
A. Write down the game.
B. Find the subgame-perfect equilibria of this game, by using backward induction.
C. Does this game exhibit solve the commitment problem? Explain.
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