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Behavioral Mathematics for Game AI by Dave Mark

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Utility of Money

Part of our difficulty with Pascal’s Wager was the inability to quantify the inputs. In fact, it was even made worse by using dissimilar measures such as Heaven and Hell vs. lifestyle. How do those compare? Is cheating on my wife or coveting my neighbor’s ox worth even 20% of the value of the Heaven we may give up? Is telling the truth to my wife about how her new hairstyle makes her look like our neighbor’s ox worth more than 14% of Hell? These are calculations that are near impossible to make because the comparisons themselves are so vague. (We’ll give it a shot nonetheless a little later on.)

However, by making sure all measures are of the same type, our calculation process gets much easier. For the moment, let’s follow a ...

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