1. 인사
greeting.
Hello! How can I help you today?
2. "풀린 게임"의 정의
at first, do you know "solved game"?
Yes, I'm familiar with the concept of a "solved game." In game theory, a game is considered solved if a mathematically proven solution exists that will result in a specific outcome for the game, regardless of the moves made by the players. This solution is often in the form of a optimal strategy for one or both players, or the determination of the game's value, which is the expected outcome of the game if both players play optimally. Examples of solved games include tic-tac-toe, chess, and checkers.
3. "마피아 게임"의 정의
then, do you know "mafia game", like "lupus in tabula"?
Yes, I'm familiar with the game "Mafia," also known as "Werewolf." It's a party game that is usually played in person, although there are also online versions. The basic premise of the game is that there are two groups of players: the "town" and the "mafia." The town players try to identify and eliminate the mafia players, while the mafia players try to secretly eliminate the town players. Each night, the mafia players choose one player to eliminate, and each day, the town players vote to eliminate one player whom they suspect of being in the mafia. The game continues until either all of the mafia players have been eliminated or until the mafia outnumber the town players. "Lupus in Tabula" is a specific version of the Mafia game.
4. "마피아 게임"은 "풀린 게임"인가?
Thanks. Now I ask you, is mafia game solved game?
No, the Mafia game is not considered a solved game. The game is non-deterministic and has elements of luck, as well as player strategy and deception, which makes it difficult to find a mathematically proven solution. While there are certain optimal strategies that players can follow, the outcome of the game can be heavily influenced by the actions of other players, making it impossible to guarantee a specific outcome. The unpredictability of player behavior and the potential for deception and misdirection make the Mafia game a challenging game to solve mathematically.
5. 이용 종료
Thanks, that's all I wanted for now. Have a nice day!
You're welcome! Have a great day! If you have any other questions, feel free to ask.
대충 요약하면 "예측 불가능한 플레이어의 행동과 속임수, 시선 돌리기 등으로 인해 수학적인 분석이 거의 불가능하게 만들으므로 풀린 게임이 아니다"라고 정의내리고 있네요.
세부적으론 다음 사유를 제시하고 있습니다.
1. 비결정적인 알고리즘을 따르는 게임이다(같은 상황이라도 전혀 다른 행동이 나올 수 있다)
2. 전략성 및 속임수만큼이나 운적 요소가 포함되어 있다(수학적으로 해답을 찾아내기 어렵게 하는 요소가 많다)
3. 어떤 전략을 써도 고정된 결과를 유도할 수 없다(다른 플레이어의 행동이 결과에 매우 큰 영향을 끼친다)
위의 이유로 마피아 게임은 명백히 "풀린 게임"이 아니다 = 필승법은 없다고 합니다.
Belial1122 
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