Despite there being several types of non-quantifiable information in some business scenarios, there are no mathematical rigorous methods for dealing with them. Therefore, this study investigated a mathematical method of dealing with non-quantifiable information, focusing on normal-form game in game theory.
First, I defined quantifiable payoffs as a “narrow payoff”, and quantifiable and non-quantifiable payoffs as a “broad payoff”. I then generalized the normal-form game to be able to deal with the “broad payoff” and defined it as a “generalized normal-form game”. Finally, I mathematically discussed whether the definition of a “generalized normal-form game” is meaningful by the use of general topology, a branch of mathematics. As a result, one method of dealing with non-quantifiable information in business scenarios was mathematically suggested.
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