The paper gives necessary and sufficient conditions for the replicator dynamics to possess a unique interior fixed point in the simplex S_n for all n greater than or equal to 2.
Therefore, the payoff matrix of the Hawk-dove game can be derived as follows: 15 A=๐โ๐2๐0๐2 where ๐ 6=๐ป, ๐ 9=๐ท, are the hawk strategy and dove strategy respectively
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A general classification of the replication dynamics with a unique fixed point in the interior of simplex $S_N$
The paper gives necessary and sufficient conditions for the replicator dynamics to possess a unique interior fixed point in the simplex S_n for all n greater than or equal to 2.