Dynamic Games of Complete and Perfect Information:
In this class of games first. playerl moves and then after observing playerl's move, player 2 chooses her strategy and they receive their respective payoffs and the game ends there. The grenade game falls under this class, where
i) player 1 chooses an action a, from a feasible set A1.
ii) player 2 observes al and then chooses an action a2 from the feasible set A2 Payoffs to the players are Π1(a1, a2) and Π2(a1, a2);
Many economic situations fit this kind of framework. One classic example is "Stackelberg model of duopoly". The key features of a dynamic game of complete and perfect information are
a) the moves occur in sequence;
b) all previous moves are observed before the next move is chosen; and
c) the players' payoffs from each feasible combination of moves are common knowledge.