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Nakamura number

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In cooperative game theory and social choice theory, the Nakamura number measures the degree of rationality

In cooperative game theory and social choice theory, the Nakamura number measures the degree of rationality of preference aggregation rules (collective decision rules), such as voting rules. It is an indicator of the extent to which an aggregation rule can yield well-defined choices. If the number of alternatives (candidates; options) to choose from is less than this number, then the rule in question will identify "best" alternatives without any problem. In contrast, The larger the Nakamura number a rule has, the greater the number of alternatives the rule can rationally deal with. For…

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