The Korean Journal of Applied Statistics (응용통계연구)

The Korean Statistical Society (한국통계학회)
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The game of Rock-Paper Scissors between two teams

두 팀 간에 벌이는 가위바위보게임에 관한 연구

  • Received : 2019.01.10
  • Accepted : 2019.02.19
  • Published : 2019.04.30
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Abstract

We use a coin or the game of Rock-Paper Scissors before the main game to determine which team will begin first. And we can use effectively the game of Rock-Paper Scissors to choose one of the two or one of many. Two teams may consist of different number of players. In this paper we consider a rule that after each game if the winners consist of only one team then the team wins or the winners continue the next game till the winning team is decided. According to this rule we find the means and variances of the total number of games till the winning team is decided.

우리는 메인게임에 앞서 어느 팀이 먼저 공격할 것인가를 동전던지기나 가위바위보게임을 통하여 결정하곤 한다. 가위바위보게임은 둘 중 혹은 여러 사람들 중에서 하나를 선택하고자 할 때도 사용되어진다. 두 팀이 서로 다른 수로 구성되어져 있는 경우 가위바위보게임을 통해 두 팀 중 한 팀을 선택하고자 할 때 가위바위보게임을 사용할 경우 다양한 승부결정방식이 존재한다. 본 연구에서는 서로 다른 수의 팀원 모두가 참여하는 가위바위보게임에서 한 팀에만 승자가 있는 경우 그 팀이 이기는 승부결정방식에 따라 게임이 끝날 때까지 가위바위보의 총 게임 수에 대한 평균과 분산을 구하였다.

Keywords

Table 2.1. Probability distribution of Y in case of (m,n) = (2, 1)

GCGHDE_2019_v32n2_277_t0001.png 이미지

Table 2.2. Probability distribution of Y in case of (m,n) = (2, 2)

GCGHDE_2019_v32n2_277_t0002.png 이미지

Table 2.3. Probability distribution of Y in case of (m,n) = (3, 1)

GCGHDE_2019_v32n2_277_t0003.png 이미지

Table 2.4. Probability distribution of Y in case of (m,n) = (3, 2)

GCGHDE_2019_v32n2_277_t0004.png 이미지

Table 2.5. Probability distribution of Y in case of (m,n) = (3, 3)

GCGHDE_2019_v32n2_277_t0005.png 이미지

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