### Some articles on *nakamura number, number, nakamura*:

Cooperative Game - Solution Concepts - The Core of A Simple Game With Respect To Preferences

... The

... The

**Nakamura number**of a simple game is the minimal**number**of winning coalitions with empty intersection ...**Nakamura**'s theorem states that the core is nonempty for all profiles of acyclic (alternatively, transitive) preferences if and only if is finite and ... have a maximal element if and only if the cardinal**number**of is less than the**Nakamura number**of ...Cooperative Game - Properties For Characterization - Properties For Simple Games

... The

... The

**Nakamura number**of a simple game is the minimal**number**of winning coalitions with empty intersection ... According to**Nakamura**'s theorem, the**number**measures the degree of rationality it is an indicator of the extent to which an aggregation rule can yield well-defin ... no no no no The restrictions that various axioms for simple games impose on their**Nakamura number**are also studied extensively ...Arrow's Impossibility Theorem - Other Possibilities - Approaches Investigating Functions of Preference Profiles - Limiting The Number of Alternatives

...

...

**Nakamura**'s theorem (about the core of simple games) gives an answer more generally ... It establishes that if the**number**of alternatives is less than a certain integer called the**Nakamura number**, then the rule in question will identify "best" alternatives without any problem if the ... Since the**Nakamura number**of majority rule is 3 (except the case of four individuals), one can conclude from**Nakamura**'s theorem that majority rule can deal with up to two alternatives rationally ...### Famous quotes containing the word number:

“One may confidently assert that when thirty thousand men fight a pitched battle against an equal *number* of troops, there are about twenty thousand on each side with the pox.”

—Voltaire [François Marie Arouet] (1694–1778)

Main Site Subjects

Related Phrases

Related Words