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수학동아 - 폴리매스
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[창의 퍼즐] 너와 나의 근의 공식(과는 관계없는 게임이론)
21세기오일러 2020.03.11 03:36 조회 538

친구 한 명과 같이 근의 공식을 같이 외우려한다. 이 둘은 근의 공식을 외우기 싫어해서 반으로 나눠서 근의 공식을 외우려 한다. a가 b에게 제안했다.

a: 너는 분자외워 나는 분모 외울께.

b: 싫어!분모가 더 적잖아 공평히나누자.

a: 싫어 그러면 각자 따로 외우자 그러면 넌 분자와 분모까지 다 외워야 할걸?

b:...그러면 더 손해네... 어쩔 수 없지. 좋아! 머리가 너보다 더 좋은 내가 인심써서 더 많이 외워주지

 

위와 같은 상황이라면 친구니까 그냥 넘어갈 수 있을 것이다. 하지만 돈을 가지고 나누는 상황이 된다면 확연이 달라진다.

 

한사람이 와서10000달러를 나누는 방법을 1분안에 합의하고 합의 못하면 다시 반납하라고 했다.

a:  너 1달러 가져 나 9999달러 가질께 싫으면 둘 다 갖지 말자

b: ... 어쩔 수 없네. 0달러보다누1달러가 나으니까...

 

b의 사고방식은 논리적으로 틀린 게 없어 보인다 하지만 a보다 항상 손해를 보게 된다. 왜일까?

이 문제 어떠셨나요?

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