ECON 4180 Lecture 3: EC4180S16_L3
Document Summary
Analyzing behavior in static settings: best response. Now let us study the two most basic concepts in the theory of strategic interaction: dominance and best response. Player i"s best response or best reply to the strategies s i chosen by the other players is the strategy s i that yields him the greatest payo ; that is, I(s i , s i) i(s0 i, s i) 8s0 i 2 si. (1) The best response is strongly best if no other strategies are equally good, and weakly best otherwise. More generally, if we allow for mixed strategies (players may randomize over their pure strategies), a best response requires the expected payo s for evaluating alternatives so that we can de ne it such that. I(s i , i) i(s0 i, i) 8s0 i 2 si. (2) where i 2 s i is player i"s belief about the strategies played by the other players.