Question

In this explanation, it says that there are 4 subgames and 3 proper subgames. I don't know what is the difference between this 2 concept, so I made some boxes, A to D, on it. What boxes are subgames and what are proper subgames? And please explain to me what is the difference between this 2 concept.

| 역진귀납법을 통해 부분게임 완전 균형을 찾는 방법은 아래 그림 1을 통해 살펴본다. 행위자 1의 전략은 {Up, Ug, Dp, D}에 의해 주어지며, 행위자 2의 전략은 {T, B, L, R}이다. 이 예시에서 부분게임은 4개이며, 진부분게임은 3개이다. Player Player 1 Player 1 14 | (2, 0) Player 2 (6, 2) 그림 1

Answer 1

Subgames = A, B, C, D

proper subgames = A, B, C

the entire game is also a subgames, but it's not a proper subgame

A proper subgame is a subgame on the smaller set of nodes .

so the entire game, starting from first node is not a proper subgame