MTH 208 Lecture Notes - Lecture 17: Normal-Form Game
15 May 2020
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Def if for player p strategy i always leads to no worse outcome. If strategy i dominates all other strategies we say z is a dominate strategy is said to dominate strategy j. Det a 2 playergame is called zero sum if one player"s loss is. Look at the long term payoff if game repeats indefinitely. Suppose theyplay too rounds and a what is ken"s max payoff here. 55 d 45 q t of rounds where both players play d. Since kenplays 3013 bob plays 5513 oft c30. Pcken q 0. 3 let cdd cbobd ken d. Pcq d 0. 45 0 7 d what is expected payoff for ken 1h too rounds. Expected ofrounds w cd d scenario too pcdd. Det player adopts mixed strategy i in the long run if playerplays 2 w probability pt. Idea for ken adopt a mixedstrategy that gives optimal payoff assume bob behaves optimally.
