admin 發表於 2023-8-23 16:20:22

關於一個經典的博弈遊戲

法则是两边别離為本身分派智力、武力、名誉值,并使得总和為100,以後别離比力两边的三個数值,有两個数值大於另外一方则获胜。

解法是普通的,可是解比力繁杂。如下是一個解

{{0,37,63},21},{{0,41,59},42},{{0,42,58},31},{{0,49,51},94},{{1,33,66},44},{{1,34,65},10},{{1,42,57},40},{{2,42,56},117},{{2,43,55},50},{{2,46,52},21},{{3,45,52},94},{{4,43,53},44},{{4,44,52},31},{{4,46,50},113},{{5,28,67},42},{{5,29,66},52},{{6,31,63},42},{{6,32,62},63},{{6,44,50},36},{{6,47,47},47},{{7,27,66},40},{{7,36,57},54},{{8,33,59},50},{{8,34,58},30},{{8,38,54},58},{{8,39,53},50},{{9,27,64},54},{{9,30,61},40},{{10,32,58},77},{{10,36,54},72},{{10治療老腰突病,,40,50},39},{{11,24,65},84},{{11,41,48},10},{{12,28,60},87},{{12,40,48},101},{{13,20,67},52},{{13,35,52},42},{{14,20,66},52},{{14,24,62},36},{{14,26,60},82},{{14,38,48},18},{{15,23,62},89},{{15,24,61},5},{{16,20,64},40},{{16,21,63},31},{{16,23,61},5},{{16,30,54},58},{{16,38,46},54},{{17,22,61},44},{{17,25,58},50},{{18,18,64},94},{{19,21,60},19},{{19,22,59},2},{{19,37,44},73},{{20,25,55},44},{{21,39,40},44},{{22,22,56},71},{{24,28,48},59},{{24,36,40},4},{{26,30,44},48},{{26,36,38},58},{{29,30,41},42},{{31,34,35},52},{{32,34,34},48}

此中,{a,b,c}暗示计谋以1/6的几率将三個数填写為(a,b,c)(a,c,b)(b,a,c)(b,c,a)(c,a,b)(c,b,a),计谋右边的天然数暗示選擇這個计谋的几率,分母為3196

同時,如下這些计谋(包含但不必定限於)都是劣计谋:

{0,0,100},{0,1,99},{0,2,98},{0,3,97},{0,4,96},{0,5,95},{0,6,94},{0,7,93},{0,8,92},{0,9,91},{0,10,90黑芝麻丸,},{0,11,89},{0,12,88},{0,13,87},{0,14,86},{0,15,85},{0,16,84},{0,17,83},{0,18,82},{0,19,81},{0,20,80},{0,21,79},{0,22,78},{0,23,77},{0,24,76},{0,25,75},{0,26,74},{0,27,73},{0,28,72},{0,29,71},{0,30,70},{0,31,69},{0,32,68},{1,1,98},{1,2,97},{1,3,96},{1,4,95},{1,5,94},{1,6,93},{1,7,92},{1,咽喉伴侶,8,91},{1,9,90},{1,10,89},{1,11,88},{1,12,87},{1,13,86},{1,14,85},{1,15,84},{1,16,83},{1,17,82},{1,18,81},{1,19,80},{1,20,79},{1,21,78},{1,22,77},{1,23,76},{1,24,75},{1,25,74},{1,26,73},{1,27,72},{1,28,71},{1,29,70},{1,30,69},{1,31,68},{2,2,96},{2,3,95},{2,4,94},{2,5,93},{2,6,92},{2,7,91},{2,8,90},{2,9,89},{2,10,88},{2,11,87},{2,12,86},{2,13,85},{2,14,84},{2,15,83},{2,16,82},{2,17,81},{2,18,80},{2,19,79},{2,20,78},{2,21,77},{2,22,76},{2,23,75},{2,24,74},{2,25,73},{2,26,72},{2,27,71},{2,28,70},{2,29,69},{2,30,68},{3,3,94},{3,4,93},{3,5,92},{3,6,91},{3,7,90},{3,8,89},{3,9,88},{3,10,87},{3,11,86},{3,12,85},{3,13,84},{3,14,83},{3,15,82},{3,16,81},{3,17,80},{3,18,79},{3,19,78},{3,20,77},{3,21,76},{3,22,75},{3,23,74},{3,24,73},{3,25,72},{3,26,71},{3,27,70},{3,28,69},{3,29,68},{4,4,92},{4,5,91},{4,6,90},{4,7,89},{4,8,88},{4,9,87},{4,10,86},{4,11,85},{4,12,84},{4,13,83},{4,14,82},{4,15,81},{4,16,80},{4,17,79},{4,18,78},{4,19,77},{4,20,76},{4,21,75},{4,22,74},{4,23,73},{4,24,72},{4,25,71},{4,26,70},{4,27,69},{4,28,68},{5,5,90},{5,6,89},{5,7,88},{5,8,87},{5,9,86},{5,10,85},{5,11,84},{5,12,83},{5,13,82},{5,14,81},{5,15,80},{5,16,79},{5,17,78},{5,18,77},{5,19,76},{5,20,75},{5,21,74},{5,22,73},{5,23,72},{5,24,71},{5,25,70},{5,26,69},{5,27,68},{6,6,88},{6,7,87},{6,8,86},{6,9,85},{6,10,84},{6,11,83},{6,12,82},{6,13,81},{6,14,80},{6,15,79},{6,16,78},{6,17,77},{6,18,76},{6,19,75},{6,20,74},{6,21,73},{6,22,72},{6,23,71},{6,24,70},{6,25,69},{6,26,68},{7,7,86},{7,8,85},{7,9,84},{7,10,83},{7,11,82},{7,12,81},{7,13,80},{7,14,79},{7,15,78},{7,16,77},{7,17,76},{7,18,75},{7,19,74},{7,20,73},{7,21,72},{7,22,71},{7,23,70},{7,24,69},{7,25,68},暖手神器,{8,8,84},{8,9,83},{8,10,82},{8,11,81},{8,12,80},{8,13,79},{8,14,78},{8,15,77},{8,16,76},{8,17,75},{8,18,74},{8,19,73},{8,20,72},{8,21,71},{8,22,70},{8,23,69},{8,24,68},{9,9,82},{9,10,81},{9,11,80},{9,12,79},{9,13,78},{9,14,77},{9,15,76},{9,16,75},{9,17,74},{9,18,73},{9,19,72},{9,20,71},{9,21,70},{9,22,69},{9,23,68},{10,10,80},{10,11,79},{10,12,78},{10,13,77},{10,14,76},{10,15,75},{10,16,74},{10,17,73},{10,18,72},{10,19,71},{10,20,70},{10,21,69},{10,22,68},{11,11,78},{11,12,77},{11,13,76},{11,14,75},{11,15,74},{11,16,73},{11,17,72},{11,18,71},{11,19,70},{11,20,69},{11,21,68},{12,12,76},{12,13,75},{12,14,74},{12,15,73},{12,16,72},{12,17,71},{12,18,70},{12,19,69},{12,20,68},{13,13,74},{13,14,73},{13,15,72},{13,16,71},{13,17,70},{13,18,69},{13,19,68},{14,14,72},{14,15,71},{14,16,70},{14,17,69},{14,18,68},{15,15,70},{15,16,69},{15,17,68},{16,16,68}

換言之,最大数跨越68的都是劣计谋
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