國(guó)外博弈論課件lecture(3)-資料下載頁(yè)
2025-10-09 12:47本頁(yè)面
【正文】 different (0?r?1) Player 2 Head Tail Player 1 Head 1 , 1 1 , 1 Tail 1 , 1 1 , 1 q 1q 12q 2q1 Expected payoffs r 1r May 27, 2021 73347 Game TheoryLecture 6 19 Solving matching pennies ? Player 2’s expected payoffs ? If Player 2 chooses Head, r(1r)=2r1 ? If Player 2 chooses Tail, r+(1r)=12r Player 2 Head Tail Player 1 Head 1 , 1 1 , 1 Tail 1 , 1 1 , 1 12q 2q1 Expected payoffs r 1r q 1q Expected payoffs 2r1 12r May 27, 2021 73347 Game TheoryLecture 6 20 Solving matching pennies ? Player 2’s best response B2(r): ? For r, Tail (q=0) ? For r, Head (q=1) ? For r=, indifferent (0?q?1) Player 2 Head Tail Player 1 Head 1 , 1 1 , 1 Tail 1 , 1 1 , 1 q 1q 12q 2q1 Expected payoffs r 1r Expected payoffs 2r1 12r 1 q r 1 1/2 1/2 May 27, 2021 73347 Game TheoryLecture 6 21 1 q r 1 1/2 1/2 Solving matching pennies ? Player 1’s best response B1(q): ? For q, Head (r=1) ? For q, Tail (r=0) ? For q=, indifferent (0?r?1) ? Player 2’s best response B2(r): ? For r, Tail (q=0) ? For r, Head (q=1) ? For r=, indifferent (0?q?1) ? Check r = ? B1() q = ? B2() Player 2 Head Tail Player 1 Head 1 , 1 1 , 1 Tail 1 , 1 1 , 1 r 1r q 1q Mixed strategy Nash equilibrium May 27, 2021 73347 Game TheoryLecture 6 22 Summary ? The problems of mons ? Mixed strategies ? Solving matching pennies ? Next time ? Mixed strategy Nash equilibrium ? Reading lists ? Chapter of Gibbons
教學(xué)課件相關(guān)推薦
鄂ICP備17016276號(hào)-1