博弈论实例Waiting1习题课件.xlsx

Normal Variant value p Distribution10 5FOUR ROUNDSTHREE ROUNDS 2 0 33Expectations for Ann2 06Expectations for Ann 3 0 17Expectations for Beth2 06Expectations for Beth fourth last1 yesyesnono1 862 yesyesnono2 083 roundyes1 58 1 581 2 17 2 17yes2 08 2 082 2 17 2 17yes no2 171 1 86 1 86 1 86no2 172 1 86 1 862no 1 86 2 171 8642 08 2 17212 58 mixed2 81 2 81mixed2 05 2 05mixed Prob3 1 2 13 1 2 1Prob 0 62 0 38 0 62 0 38Prob thrid last1 yesyesnono1 562 yesyesnono23 roundyes1 51 5122yes22222yes no21 1 56 1 56 1 56no22 1 56 1 562no 1 5621 56422212 5 mixed66mixed22mixed Prob10 910 9Prob1010Prob second last1 yesyesnono1 112 yesyesnono1 833 roundyes1 33 1 331 1 67 1 67yes1 83 1 832 1 67 1 83yes no1 671 0 83 0 831no1 672 0 83 0 832no 1 11 1 67151 83 1 83212 33 mixed1 11 1 11mixed1 81 1 81mixed Prob 0 33 0 67 0 33 0 67Prob 1 17 0 2 1 17 0 2Prob Last Round1 yesyesnono0 52 yesyesnono13 yes0 50 5yes11yes nonono 0 511 5 00 0101 TWO ROUNDS 1 86Expectations for Ann1 56 1 86Expectations for Beth1 56 yesyesnono2 581231 yesno 2 58 2 583 2 17 2 58yes1yes2yes31 2 17 2 173 1 86 1 863no2 17no2 17no2 17 2 58312 172 173 2 34 2 34 1 58 0 6 1 58 0 6 yesyesnono2 51231 yesno 2 52 5322 5yes1yes2yes312 23 1 56 1 563no2no2no2 2 531223 2 24 2 24 1 53 0 5 1 53 0 5 yesyesnono2 331231 yesno 2 33 2 333 1 67 2 33yes1yes2yes31 1 67 1 673 0 83 0 833no1 67no1 67no1 67 2 33311 6723 2 04 2 04 1 44 0 4 1 44 0 4 yesyesnono1 51231 yesno 1 51 5yes1yes2yes310 no0no0no0 123 2 172 yesno2 173 yesno3 2 2 173 2 17 22 yesno23 yesno3 2232 1 672 yesno23 yesno3 2 1 673 1 67 12 yesno23 yesno3 2030 Waiting for Mr Perfect 2 Rounds 2 players Normal strategic form nP n Distribution1 0 50Type in P 1 and P 2 into the two black fields to the left 2 0 33 3 0 17 1 67 IIIINNN IINNIIN INININI III1 67 1 67 1 78 1 56 1 72 1 61 1 831 51 5 1 83 1 61 1 72 1 56 1 78 IIN1 56 1 78 1 42 1 42 1 61 1 72 1 47 1 36 1 39 1 94 1 25 1 58 1 44 1 89 INI1 61 1 72 1 72 1 61 1 33 1 33 1 44 1 22 1 44 1 89 1 56 1 78 1 171 5 INN1 5 1 83 1 36 1 47 1 22 1 44 1 08 1 08 1 332 1 19 1 64 1 06 1 61 NII1 831 5 1 94 1 39 1 89 1 442 1 33 1 42 1 42 1 53 1 31 1 47 1 36 NIN1 72 1 61 1 58 1 25 1 78 1 56 1 64 1 19 1 31 1 53 1 17 1 17 1 36 1 47 NNI1 78 1 56 1 89 1 441 5 1 17 1 61 1 06 1 36 1 47 1 47 1 36 1 08 1 08 NNN1 67 1 67 1 53 1 31 1 39 1 28 1 25 0 92 1 25 1 58 1 11 1 22 0 97 1 19 1 831 941 8921 51 611 56 IINN ININ IIII III1 67 1 67 1 72 1 61 1 50 1 83 1 56 1 78 1 83disregard the bimatrix to the left INI1 61 1 72 1 33 1 33 1 44 1 89 1 17 1 50 1 89 NII1 83 1 50 1 89 1 44 1 42 1 42 1 47 1 361 5 NNI1 78 1 56 1 50 1 17 1 36 1 47 1 08 1 08 1 56 1 831 891 51 56 IN II II III1 67 1 67 1 50 1 83 1 83The IESD matrix is on the left NII1 83 1 50 1 42 1 42 1 50 1 831 50 NN IN II NII1 42 1 42 1 47 1 36 1 42disregard the bimatrix to the left NNI1 36 1 47 1