博弈论实例SIMzero习题课件.xlsx

Zero sum Simultaneous Game Please write your matrix payoffs for the row player Ann into the blue cells If your matrix is smaller than 21 21 just leave the other fields blank the matrix 1234567891011121314 B1B2B3B4B5B6B7B8B9B10B11B12B13B14 1 A10 0 26 0 35 0 37 0 28 0 04 0 26 0 32 0 26 0 06 0 24 0 22 0 06 0 15 2 A20 2560 0 13 0 18 0 13 0 178 0 04 0 13 0 11 0 131 0 05 0 07 0 1110 3 A30 3540 130 0 06 0 030 250 06 0 03 0 03 0 188 0 0330 0 155 0 057 4 A40 367 0 1780 060 0 0190 24 0 083000 17 0 044 0 014 0 133 0 056 5 A50 278 0 129 0 031 0 020 0 144 0 024 0 04 0 04 0 083 0 01 0 03 0 0560 6 A60 043 0 18 0 25 0 24 0 140 0 18 0 21 0 13 0 01 0 14 0 110 0 06 7 A70 262 0 042 0 06 0 08 0 02 0 1780 0 06 0 02 0 13300 0 119 0 048 8 A80 321 0 133 0 0330 0 042 0 2080 060 0 0240 150 04 0 033 0 125 0 067 9 A90 257 0 111 0 0290 0 037 0 133 0 022 0 0200 08000 06 0 022 10 A100 063 0 13 0 19 0 17 0 08 0 014 0 13 0 15 0 080 0 1 0 06 0 014 0 02 11 A110 236 0 048 0 03 0 04 0 012 0 1430 0 0400 100 01 0 089 0 042 12 A120 219 0 0710 0 01 0 031 0 1070 0 030 0 063 0 0100 050 02 13 A130 056 0 11 0 15 0 13 0 060 0 12 0 13 0 06 0 01 0 09 0 050 0 02 14 A140 1480 0 06 0 060 0 056 0 05 0 07 0 02 0 024 0 04 0 02 0 0220 15 A150 0 13 0 16 0 13 0 06 0 06 0 14 0 13 0 07 0 06 0 11 0 06 0 04 0 04 16 A16 17 A17 18 A18 19 A19 20 A20 21 A21 15161718192021 B15B16B17B18B19B20B21 0 0 13 0 156 0 129 0 056 0 056 0 139 0 131 0 067 0 063 0 107 0 063 0 043 0 044 0 Please write your matrix payoffs for the row player Ann into the blue cells If your matrix is smaller than 21 21 just leave the other fields blank The non zero sum representation the matrix 11223344556677 B1B1B2B2B3B3B4B4B5B5B6B6B7B7 1 A100 0 26 0 256 0 35 0 354 0 37 0 367 0 28 0 278 0 04 0 043 0 26 0 262 2 A20 256 0 2600 0 130 13 0 18 0 178 0 13 0 129 0 178 0 18 0 04 0 042 3 A30 354 0 350 13 0 1300 0 060 06 0 03 0 0310 25 0 250 06 0 06 4 A40 367 0 37 0 178 0 180 06 0 0600 0 019 0 020 24 0 24 0 083 0 08 5 A50 278 0 28 0 129 0 13 0 031 0 03 0 02 0 01900 0 144 0 14 0 024 0 02 6 A60 043 0 04 0 18 0 178 0 250 25 0 240 24 0 14 0 14400 0 18 0 178 7 A70 262 0 26 0 042 0 04 0 060 06 0 08 0 083 0 02 0 024 0 178 0 1800 8 A80 321 0 32 0 133 0 13 0 033 0 0300 0 042 0 04 0 208 0 210 06 0 06 9 A90 257 0 26 0 111 0 11 0 029 0 0300 0 037 0 04 0 133 0 13 0 022 0 02 10 A100 063 0 06 0 13 0 131 0 19 0 188 0 170 17 0 08 0 083 0 014 0 01 0 13 0 133 11 A110 236 0 24 0 048 0 05 0 03 0 033 0 04 0 044 0 012 0 01 0 143 0 1400 12 A120 219 0 22 0 071 0 0700 0 01 0 014 0 031 0 03 0 107 0 1100 13 A130 056 0 06 0 11 0 111 0 15 0 155 0 13 0 133 0 06 0 05600 0 12 0 119 14 A140 148 0 1500 0 06 0 057 0 06 0 05600 0 056 0 06 0 05 0 048 15 A1500 0 130 13 0 16 0 156 0 13 0 129 0 06 0 056 0 06 0 056 0 14 0 139 16 A16 17 A17 18 A18 19 A19 20 A20 21 A21 889910101111121213131414151516 B8B8B9B9B10B10B11B11 B12 B12 B13 B13 B14 B14 B15 B15 B16 0 32 0 321 0 26 0 257 0 06 0 063 0 24 0 24 0 2 0 22 0 0 06 0 1 0 1500 0 13 0 133 0 11 0 111 0 131 0 13 0 05 0 05 0 0 07 0 11 0 100 0 13 0 1 0 03 0 033 0 03 0 029 0 188 0 19 0 033 000 0 15 0 2 0 06 0 0 16 0 2 00000 17 0 17 0 044 0 0 01 0 0 13 0 1 0 06 0 0 13 0 1 0 04 0 042 0 04 0 037 0 083 0 08 0 01 0 01 0 0 03 0 06 000 0 06 0 0 21 0 208 0 13 0 133 0 01 0 014 0 14 0 14 0 1 0 1100 0 0 06 0 06 0 0 060 06 0 02 0 022 0 133 0 130000 0 12 0 1 0 05 0 0 14 0 1 00 0 024 0 020 15 0 150 04 0 0 03 0 0 13 0 1 0 07 0 0 13 0 1 0 02 0 024000 08 0 080000 0 06 0 0 02 0 0 07 0 0 150 15 0 080 0800 0 10 1 0 0 06 0 01 0 0 0 02 0 06 0 0 040 04000 1 0 100 0 01 0 0 09 0 0 04 0 0 11 0 1 0 03 0 03300 0 063 0 06 0 01 0 0100 0 05 0 0 02 0 0 06 0 0 13 0 125 0 060 06 0 01 0 014 0 09 0 09 0 0 0500 0 0 02 0 04 0 0 07 0 067 0 02 0 022 0 024 0 02 0 04 0 04 0 0 02 0 02 000 0 04 0 0 13 0 131 0 07 0 067 0 06 0 063 0 11 0 11 0 0 06 0 0 04 0 0 0400 The non zero sum representation 1617171818191920202121 B16 B17 B17 B18 B18 B19 B19 B20 B20 B21 B21 MAXIMIN The Maximin moves are marked in red the matrix 11223344556677 B1B1B2B2B3B3B4B4B5B5B6B6B7B7 1 A1 2 A2 3 A3 4 A4 5 A5 6 A6 7 A7 8 A8 9 A9 10 A10 11 A11 12 A12 13 A13 14 A14 15 A15 16 A16 17 A17 18 A18 19 A19 20 A20 21 A21 1000 00 1000 00 1000 00 1000 00 1000 00 1000 00 1000 00 889910101111121213131414151516 B8B8B9B9B10B10B11B11 B12 B12 B13 B13 B14 B14 B15 B15 B16 1000 00 1000 00 1000 00 1000 00 1000 00 1000 00 1000 00 1000 00 The Maximin moves are marked in red 1617171818191920202121 B16 B17 B17 B18 B18 B19 B19 B20 B20 B21 B21 1000 00 1000 00 1000 00 1000 00 1000 00 1000 00 1000 00 1000 00 1000 00 1000 00 1000 00 1000 00 1000 00 1000 00 1000 00 1000 00 1000 00 1000 00 1000 00 1000 00 1000 00 1000 00 1000 00 1000 00 1000 00 1000 00 1000 00 1000 00 1000 00 WEAK DOMINATION Weak domination between the rows can be seen in the matrix below weak domination between the columns in the smaller matrix below that Weakly dominated rows are columns will be shown in grey only the matrix 112233445566778899101011111212 B1B1B2B2B3B3B4B4B5B5B6B6B7B7B8B8B9B9B10B10B11B11 B12 B12 1 A1 2 A2 3 A3 4 A4 5 A5 6 A6 7 A7 8 A8 9 A9 10 A10 11 A11 12 A12 13 A13 14 A14 15 A15 16 A16 17 A17 18 A18 19 A19 20 A20 21 A21 columns 0 empty empty empty empty empty empty empty empty empty empty empty empty 112233445566778899101011111212 rows A1A2A3A4A5A6A7A8A9A10A11A12 1 A1domdomdomdomdomdomdomdomdomdomdom 2 A2domdomdomdomdomdomdomdomdomdomdom 3 A3domdomdomdomdomdomdomdomdomdomdom 4 A4domdomdomdomdomdomdomdomdomdomdom 5 A5domdomdomdomdomdomdomdomdomdomdom 6 A6domdomdomdomdomdomdomdomdomdomdom 7 A7domdomdomdomdomdomdomdomdomdomdom 8 A8domdomdomdomdomdomdomdomdomdomdom 9 A9domdomdomdomdomdomdomdomdomdomdom 10 A10domdomdomdomdomdomdomdomdomdomdom 11 A11domdomdomdomdomdomdomdomdomdomdom 12 A12domdomdomdomdomdomdomdomdomdomdom 13 A13domdomdomdomdomdomdomdomdomdomdomdom 14 A14domdomdomdomdomdomdomdomdomdomdomdom 15 A15domdomdomdomdomdomdomdomdomdomdomdom 16 A16domdomdomdomdomdomdomdomdomdomdomdom 17 A17domdomdomdomdomdomdomdomdomdomdomdom 18 A18domdomdomdomdomdomdomdomdomdomdomdom 19 A19domdomdomdomdomdomdomdomdomdomdomdom 20 A20domdomdomdomdomdomdomdomdomdomdomdom 21 A21domdomdomdomdomdomdomdomdomdomdomdom 24681012141618202224262830323436384042 columnsB1B2B3B4B5B6B7B8B9B10B11B12B13B14B15B16B17B18B19B20B21 2 B1dom dom dom dom dom dom dom dom dom dom dom dom 4 B2domdom dom dom dom dom dom dom dom dom dom dom 6 B3dom domdom dom dom dom dom dom dom dom dom domdom 8 B4dom dom domdom dom dom dom dom dom dom dom dom dom dom 10 B5dom dom dom domdom dom dom dom dom dom dom domdom 12 B6dom dom dom dom domdom dom dom dom dom dom dom 14 B7dom dom dom dom dom domdom dom dom dom dom domdom 16 B8dom dom dom dom dom dom domdom dom dom dom dom dom dom 18 B9dom dom dom dom dom dom dom domdom dom dom dom dom dom 20 B10dom dom dom dom dom dom dom dom domdom dom dom 22 B11dom dom dom dom dom dom dom dom dom domdom dom dom dom 24 B12dom dom dom dom dom dom dom dom dom dom domdom dom dom 26 B13dom dom dom dom dom dom dom dom dom dom dom dom 28 B14dom dom dom dom dom dom dom dom dom dom dom dom domdom 30 B15dom dom dom dom dom dom dom dom dom dom dom dom dom 32 B16dom dom dom dom dom dom dom dom dom dom dom dom dom dom domdom dom dom dom dom 34 B17dom dom dom dom dom dom dom dom dom dom dom dom dom dom dom domdom dom dom dom 36 B18dom dom dom dom dom dom dom dom dom dom dom dom dom dom dom dom domdom dom dom 38 B19dom dom dom dom dom dom dom dom dom dom dom dom dom dom dom dom dom domdom dom 40 B20dom dom dom dom dom dom dom dom dom dom dom dom dom dom dom dom dom dom domdom 42 B21dom dom dom dom dom dom dom dom dom dom dom dom dom dom dom dom dom dom dom dom dominateddominated 131314141515161617171818191920202121rows B13 B13 B14 B14 B15 B15 B16 B16 B17 B17 B18 B18 B19 B19 B20 B20 B21 B210 empty empty empty empty empty empty empty empty empty empty empty empty empty empty empty empty empty empty empty empty empty empty empty empty empty empty empty empty empty empty The transposed Matrix 131314141515161617171818191920202121112233 A13A14A15A16A17A18A19A20A21rows A1A2A3 domdomdomdomdomdomdomdomdom1 A1domdom domdomdomdomdomdomdomdomdom2 A2dom domdomdomdomdomdomdomdomdom3 A3 domdomdomdomdomdomdomdomdom4 A4 domdomdomdomdomdomdomdomdom5 A5 domdomdomdomdomdomdomdomdom6 A6domdom domdomdomdomdomdomdomdomdom7 A7 domdomdomdomdomdomdomdomdom8 A8 domdomdomdomdomdomdomdomdom9 A9 domdomdomdomdomdomdomdomdom10 A10dom domdomdomdomdomdomdomdomdom11 A11 domdomdomdomdomdomdomdomdom12 A12 domdomdomdomdomdomdomdom13 A13dom domdomdomdomdomdomdomdom14 A14 domdomdomdomdomdomdomdom15 A15dom domdomdomdomdomdomdomdom16 A16 domdomdomdomdomdomdomdom17 A17 domdomdomdomdomdomdomdom18 A18 domdomdomdomdomdomdomdom19 A19 domdomdomdomdomdomdomdom20 A20 domdomdomdomdomdomdomdom21 A21 596061626364656667686970717273747576777879 The transposed matrix columnsB1B2B3B4B5B6B7B8B9B10 B11 B12 B13 B14 B15 B16 B17 B18B19 B20 B21 B1dom dom dom dom dom dom dom dom dom dom dom dom domdom dom domdom dom dom B2domdom domdom dom domdom dom dom B3dom dom domdom dom dom B4dom dom domdom dom dom B5domdomdom dom domdom dom dom B6dom dom dom domdom dom dom dom dom domdom dom domdom dom dom B7dom dom domdom dom dom B8dom dom domdom dom dom B9domdom dom domdom dom dom B10dom domdom dom domdom domdom dom domdom dom dom B11domdomdom dom domdom dom dom B12dom domdom dom domdom dom dom B13dom dom domdom dom domdom domdomdom dom domdom dom dom B14domdom domdom domdom dom domdom dom dom B15dom dom domdom dom domdom domdomdom dom domdom dom dom B16dom domdom dom dom B17domdomdom dom dom B18dom domdom dom dom B19dom dom domdom dom B20dom dom domdomdom B21dom dom domdom dom 4455667788991010111112121313141415151616171718 A4A5A6A7A8A9A10A11A12A13A14A15A16A17A18 domdomdomdomdomdomdomdomdomdomdomdomdomdom domdomdomdomdom domdomdom domdomdom domdomdomdomdom domdomdomdomdomdomdomdomdomdomdom domdomdom domdomdom domdomdomdom domdomdomdomdomdomdomdomdom domdomdomdomdom domdomdomdomdom domdomdomdomdomdomdomdomdomdomdom domdomdomdomdomdomdomdom domdomdomdomdomdomdomdomdomdomdom domdom domdom domdom domdomdom domdomdom domdomdom 18191920202121 A19A20A21 domdomdom domdomdom domdomdom domdomdom domdomdom domdomdom domdomdom domdomdom domdomdom domdomdom domdomdom domdomdom domdomdom domdomdom domdomdom domdomdom domdomdom domdomdom domdom domdom domdom Best response The best response values appear in white with green background the matrix 11223344556677 B1B1B2B2B3B3B4B4B5B5B6B6B7B7 1 A1 2 A2 3 A3 4 A4 5 A5 6 A6 7 A7 8 A8 9 A9 10 A10 11 A11 12 A12 13 A13 14 A14 15 A15 16 A16 17 A17 18 A18 19 A19 20 A20 21 A21 1000 00 1000 00 1000 00 1000 00 1000 00 1000 00 1000 00 889910101111121213131414151516 B8B8B9B9B10B10B11B11 B12 B12 B13 B13 B14 B14 B15 B15 B16 1000 00 1000 00 1000 00 1000 00 1000 00 1000 00 1000 00 1000 00 1000 00 Best response The