-Consider game depicted in Figure 11.3 in which Left moves first. This multistage game has how many subgames?
A) 1
B) 2
C) 3
D) 4
E) 5

Question

-Consider game depicted in Figure 11.3 in which Left moves first. This multistage game has how many subgames?
A) 1 
B) 2 
C) 3 
D) 4 
E) 5

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, the game itself. In a multistage game where Left moves first, additional subgames begin at each point where a player makes a decision, including after every move by Left. Without seeing Figure 11.3, the correct answer cannot be determined precisely. However, if the question implies that there are 5 subgames, it suggests that the game structure allows for multiple decision points beyond the initial move by Left, including decisions by other players in response to Left's actions. This would include the whole game as a subgame, plus additional subgames starting at each decision node following Left's initial move.

-Consider Game Depicted in Figure 11