2008年5月27日 星期二

Mathematical Psychology: 10% tips

How much does a 10% tips affected the amount of the bill in a restaurant? I am not referring this question in the sense of the psychological impression of the effect, as people often observed to be confused. I am referring to the Mathematical effect of 10% tips applied to the total cost of food in a restaurant. If we all use a calculator then we would all agreed that the effect of 10% tip depending on the original total of the cost of food. However, it has been observed, at least in the setting of Chinese restaurant in Hong Kong, people has a tendency to overestimate the effect of that in the totality of the cost of food, thus opening the opportunity for waiter/waitress to make few extra bucks. It is interesting to observed that the psychological impression of the effect of that is different from the actual effect, and people most likely confuse one with another. The majority of Chinese in Hong Kong would replace the effect in Mathematical realm by their psychological impression of the effect. I am almost certain that only few of Hong Kong Chinese observe this phenomena. It definitely take an unusual personality to observe this effect.
The impression I had on how people made this mistake is the impression the effect of 10% tip as independent of the original total of the cost of food. That is Mathematically wrong and Psychologically right. (Does the impression of the calculation has replaced the process of calculation?) Mathematically, the 10% tip can’t be consider independent from the total amount; it is only in the cognitive process of the mind which people make this estimation. This again, prove the assertion that human being is not a logical being, and our mind is better not modeled by pure computational process as some A.I. researcher claim. It is also revealing of the cognitive process of how human brain do computation, we often treat the 10% tip as an entity in and of itself. Remember that, even logic itself is not derived through logical process and Mathematics are not logical in-of-itself. It thus an interesting question of how does logic arise out of the illogical human mind, is that a necessity arise out of evolution?

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