Please refer to Game Theory for Applied Economists by Robert Gibbons. There is some clear definition and distinction on dominated stratigies equilibrium and nash equilibrium.

Definition: Fix strategy profile s. If each s-i is a dominant strategy for player i, then s is a dominant strategies equilibrium.

Definition: Strategy profile s* is a Nash Equilibrium if for all i=1,2,...I, and all s_i in S_i, Ui(s*_i,s*_-i)>=Ui(s_i,s*_-i).

A dominant strategies equilibrium is a Nash equilibrium, but a Nash equilibrium need not to be a dominant strateties equililbium. Consider two examples. One is matching penny game, neither player has a dominant strategy, but this game has a mixed strategy Nash equilibrium. The other is coordination game. There are two pure strategy Nash equilibia, but neither player has a dominant strategy.

[此贴子已经被作者于2006-3-31 11:45:51编辑过]