-Consider the game depicted in Figure 11.1 in which player A moves first. This multistage game has how many subgames?
A) 0
B) 1
C) 2
D) 3
E) 4

Question

-Consider the game depicted in Figure 11.1 in which player A moves first. This multistage game has how many subgames?
A) 0 
B) 1 
C) 2 
D) 3 
E) 4

Quizplus · Accepted Answer

A subgame in game theory is a part of the game that constitutes a game in itself, starting from some node (or point) in the game. Every game has at least one subgame, which is the game itself. In a multistage game where player A moves first, and assuming there are multiple decision points or nodes following player A's initial move, there would be several subgames, each starting from one of these decision points. Without seeing Figure 11.1, the exact number of subgames cannot be determined precisely, but if the correct answer is E) 4, it implies that beyond the entire game being a subgame itself, there are three additional points (or nodes) in the game from which new, independent subgames can start, making a total of 4 subgames. This includes the game as a whole plus subgames starting at key decision nodes following player A's initial move.

-Consider the Game Depicted in Figure 11