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Consider a game between four players, Boromir, Frodo, Gimli and Legolas. They have met to
decide who should take the ring to Mordor. Their preference orderings are shown below in Table
"Lord of the Rings". The game is one in which all players simultaneously make a choice among
the four people. Only if they all agree - a unanimity voting rule is put in place - is someone
selected; otherwise, no one takes on this epic task. How many total pure strategy Nash equilibria
(symmetric and asymmetric) does this game have?

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