Game form di un gioco ripetuto: forma estesa e forma strategica
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2 Teoria dei Giochi, Trento, 2003/04 c Fioravante Patrone
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TT1T2T3T4 a a a a a a a a b b b b b b b b e e e e f f f f e e e e f f f f TT1T2T3B4 a a a a a a a a b b b b b b b b e e e e f f f f e e e e f f f f TT1T2B3T4 a a a a a a a a b b b b b b b b e e e e f f f f e e e e f f f f TT1T2B3B4 a a a a a a a a b b b b b b b b e e e e f f f f e e e e f f f f TT1B2T3T4 a a a a a a a a b b b b b b b b g g g g h h h h g g g g h h h h TT1B2T3B4 a a a a a a a a b b b b b b b b g g g g h h h h g g g g h h h h TT1B2B3T4 a a a a a a a a b b b b b b b b g g g g h h h h g g g g h h h h TT1B2B3B4 a a a a a a a a b b b b b b b b g g g g h h h h g g g g h h h h TB1T2T3T4 c c c c c c c c d d d d d d d d e e e e f f f f e e e e f f f f TB1T2T3B4 c c c c c c c c d d d d d d d d e e e e f f f f e e e e f f f f TB1T2B3T4 c c c c c c c c d d d d d d d d e e e e f f f f e e e e f f f f TB1T2B3B4 c c c c c c c c d d d d d d d d e e e e f f f f e e e e f f f f TB1B2T3T4 c c c c c c c c d d d d d d d d g g g g h h h h g g g g h h h h TB1B2T3B4 c c c c c c c c d d d d d d d d g g g g h h h h g g g g h h h h TB1B2B3T4 c c c c c c c c d d d d d d d d g g g g h h h h g g g g h h h h TB1B2B3B4 c c c c c c c c d d d d d d d d g g g g h h h h g g g g h h h h BT1T2T3T4 i i l l i i l l i i l l i i l l o p o p o p o p o p o p o p o p BT1T2T3B4 i i l l i i l l i i l l i i l l q r q r q r q r q r q r q r q r BT1T2B3T4 m m n n m m n n m m n n m m n n o p o p o p o p o p o p o p o p BT1T2B3B4 m m n n m m n n m m n n m m n n q r q r q r q r q r q r q r q r BT1B2T3T4 i i l l i i l l i i l l i i l l o p o p o p o p o p o p o p o p BT1B2T3B4 i i l l i i l l i i l l i i l l q r q r q r q r q r q r q r q r BT1B2B3T4 m m n n m m n n m m n n m m n n o p o p o p o p o p o p o p o p BT1B2B3B4 m m n n m m n n m m n n m m n n q r q r q r q r q r q r q r q r BB1T2T3T4 i i l l i i l l i i l l i i l l o p o p o p o p o p o p o p o p BB1T2T3B4 i i l l i i l l i i l l i i l l q r q r q r q r q r q r q r q r BB1T2B3T4 m m n n m m n n m m n n m m n n o p o p o p o p o p o p o p o p BB1T2B3B4 m m n n m m n n m m n n m m n n q r q r q r q r q r q r q r q r BB1B2T3T4 i i l l i i l l i i l l i i l l o p o p o p o p o p o p o p o p BB1B2T3B4 i i l l i i l l i i l l i i l l q r q r q r q r q r q r q r q r BB1B2B3T4 m m n n m m n n m m n n m m n n o p o p o p o p o p o p o p o p BB1B2B3B4m m n n m m n n m m n n m m n n q r q r q r q r q r q r q r q r
Dilemma del prigioniero ripetuto: albero, forma strategica ed equilibri in strategie pure
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Nella forma strategica, gli equilibri sono indicati con (x,y), e l’unico SPE con (x,y)
4 Teoria dei Giochi, Trento, 2003/04 c Fioravante Patrone
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L L1 L2 L3L4
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T T1T2T3T4 (6, 6) (6, 6) (6, 6) (6, 6) (6, 6) (6, 6) (6, 6) (6, 6) (3, 8) (3, 8) (3, 8) (3, 8) (3, 8) (3, 8) (3, 8) (3, 8) (3, 8) (3, 8) (3, 8) (3, 8) (0, 10) (0, 10) (0, 10) (0, 10) (3, 8) (3, 8) (3, 8) (3, 8) (0, 10) (0, 10) (0, 10) (0, 10) T T1T2T3B4 (6, 6) (6, 6) (6, 6) (6, 6) (6, 6) (6, 6) (6, 6) (6, 6) (3, 8) (3, 8) (3, 8) (3, 8) (3, 8) (3, 8) (3, 8) (3, 8) (3, 8) (3, 8) (3, 8) (3, 8) (0, 10) (0, 10) (0, 10) (0, 10) (3, 8) (3, 8) (3, 8) (3, 8) (0, 10) (0, 10) (0, 10) (0, 10) T T1T2B3T4 (6, 6) (6, 6) (6, 6) (6, 6) (6, 6) (6, 6) (6, 6) (6, 6) (3, 8) (3, 8) (3, 8) (3, 8) (3, 8) (3, 8) (3, 8) (3, 8) (3, 8) (3, 8) (3, 8) (3, 8) (0, 10) (0, 10) (0, 10) (0, 10) (3, 8) (3, 8) (3, 8) (3, 8) (0, 10) (0, 10) (0, 10) (0, 10) T T1T2B3B4 (6, 6) (6, 6) (6, 6) (6, 6) (6, 6) (6, 6) (6, 6) (6, 6) (3, 8) (3, 8) (3, 8) (3, 8) (3, 8) (3, 8) (3, 8) (3, 8) (3, 8) (3, 8) (3, 8) (3, 8) (0, 10) (0, 10) (0, 10) (0, 10) (3, 8) (3, 8) (3, 8) (3, 8) (0, 10) (0, 10) (0, 10) (0, 10) T T1B2T3T4 (6, 6) (6, 6) (6, 6) (6, 6) (6, 6) (6, 6) (6, 6) (6, 6) (3, 8) (3, 8) (3, 8) (3, 8) (3, 8) (3, 8) (3, 8) (3, 8) (5, 5) (5, 5) (5, 5) (5, 5) (1, 6) (1, 6) (1, 6) (1, 6) (5, 5) (5, 5) (5, 5) (5, 5) (1, 6) (1, 6) (1, 6) (1, 6) T T1B2T3B4 (6, 6) (6, 6) (6, 6) (6, 6) (6, 6) (6, 6) (6, 6) (6, 6) (3, 8) (3, 8) (3, 8) (3, 8) (3, 8) (3, 8) (3, 8) (3, 8) (5, 5) (5, 5) (5, 5) (5, 5) (1, 6) (1, 6) (1, 6) (1, 6) (5, 5) (5, 5) (5, 5) (5, 5) (1, 6) (1, 6) (1, 6) (1, 6) T T1B2B3T4 (6, 6) (6, 6) (6, 6) (6, 6) (6, 6) (6, 6) (6, 6) (6, 6) (3, 8) (3, 8) (3, 8) (3, 8) (3, 8) (3, 8) (3, 8) (3, 8) (5, 5) (5, 5) (5, 5) (5, 5) (1, 6) (1, 6) (1, 6) (1, 6) (5, 5) (5, 5) (5, 5) (5, 5) (1, 6) (1, 6) (1, 6) (1, 6) T T1B2B3B4 (6, 6) (6, 6) (6, 6) (6, 6) (6, 6) (6, 6) (6, 6) (6, 6) (3, 8) (3, 8) (3, 8) (3, 8) (3, 8) (3, 8) (3, 8) (3, 8) (5, 5) (5, 5) (5, 5) (5, 5) (1, 6) (1, 6) (1, 6) (1, 6) (5, 5) (5, 5) (5, 5) (5, 5) (1, 6) (1, 6) (1, 6) (1, 6) T B1T2T3T4 (8, 3) (8, 3) (8, 3) (8, 3) (8, 3) (8, 3) (8, 3) (8, 3) (4, 4) (4, 4) (4, 4) (4, 4) (4, 4) (4, 4) (4, 4) (4, 4) (3, 8) (3, 8) (3, 8) (3, 8) (0, 10) (0, 10) (0, 10) (0, 10) (3, 8) (3, 8) (3, 8) (3, 8) (0, 10) (0, 10) (0, 10) (0, 10) T B1T2T3B4 (8, 3) (8, 3) (8, 3) (8, 3) (8, 3) (8, 3) (8, 3) (8, 3) (4, 4) (4, 4) (4, 4) (4, 4) (4, 4) (4, 4) (4, 4) (4, 4) (3, 8) (3, 8) (3, 8) (3, 8) (0, 10) (0, 10) (0, 10) (0, 10) (3, 8) (3, 8) (3, 8) (3, 8) (0, 10) (0, 10) (0, 10) (0, 10) T B1T2B3T4 (8, 3) (8, 3) (8, 3) (8, 3) (8, 3) (8, 3) (8, 3) (8, 3) (4, 4) (4, 4) (4, 4) (4, 4) (4, 4) (4, 4) (4, 4) (4, 4) (3, 8) (3, 8) (3, 8) (3, 8) (0, 10) (0, 10) (0, 10) (0, 10) (3, 8) (3, 8) (3, 8) (3, 8) (0, 10) (0, 10) (0, 10) (0, 10) T B1T2B3B4 (8, 3) (8, 3) (8, 3) (8, 3) (8, 3) (8, 3) (8, 3) (8, 3) (4, 4) (4, 4) (4, 4) (4, 4) (4, 4) (4, 4) (4, 4) (4, 4) (3, 8) (3, 8) (3, 8) (3, 8) (0, 10) (0, 10) (0, 10) (0, 10) (3, 8) (3, 8) (3, 8) (3, 8) (0, 10) (0, 10) (0, 10) (0, 10) T B1B2T3T4 (8, 3) (8, 3) (8, 3) (8, 3) (8, 3) (8, 3) (8, 3) (8, 3) (4, 4) (4, 4) (4, 4) (4, 4) (4, 4) (4, 4) (4, 4) (4, 4) (5, 5) (5, 5) (5, 5) (5, 5) (1, 6) (1, 6) (1, 6) (1, 6) (5, 5) (5, 5) (5, 5) (5, 5) (1, 6) (1, 6) (1, 6) (1, 6) T B1B2T3B4 (8, 3) (8, 3) (8, 3) (8, 3) (8, 3) (8, 3) (8, 3) (8, 3) (4, 4) (4, 4) (4, 4) (4, 4) (4, 4) (4, 4) (4, 4) (4, 4) (5, 5) (5, 5) (5, 5) (5, 5) (1, 6) (1, 6) (1, 6) (1, 6) (5, 5) (5, 5) (5, 5) (5, 5) (1, 6) (1, 6) (1, 6) (1, 6) T B1B2B3T4 (8, 3) (8, 3) (8, 3) (8, 3) (8, 3) (8, 3) (8, 3) (8, 3) (4, 4) (4, 4) (4, 4) (4, 4) (4, 4) (4, 4) (4, 4) (4, 4) (5, 5) (5, 5) (5, 5) (5, 5) (1, 6) (1, 6) (1, 6) (1, 6) (5, 5) (5, 5) (5, 5) (5, 5) (1, 6) (1, 6) (1, 6) (1, 6) T B1B2B3B4 (8, 3) (8, 3) (8, 3) (8, 3) (8, 3) (8, 3) (8, 3) (8, 3) (4, 4) (4, 4) (4, 4) (4, 4) (4, 4) (4, 4) (4, 4) (4, 4) (5, 5) (5, 5) (5, 5) (5, 5) (1, 6) (1, 6) (1, 6) (1, 6) (5, 5) (5, 5) (5, 5) (5, 5) (1, 6) (1, 6) (1, 6) (1, 6) BT1T2T3T4 (8, 3) (8, 3) (5, 5) (5, 5) (8, 3) (8, 3) (5, 5) (5, 5) (8, 3) (8, 3) (5, 5) (5, 5) (8, 3) (8, 3) (5, 5) (5, 5) (4, 4) (1, 6) (4, 4) (1, 6) (4, 4) (1, 6) (4, 4) (1, 6) (4, 4) (1, 6) (4, 4) (1, 6) (4, 4) (1, 6) (4, 4) (1, 6) BT1T2T3B4 (8, 3) (8, 3) (5, 5) (5, 5) (8, 3) (8, 3) (5, 5) (5, 5) (8, 3) (8, 3) (5, 5) (5, 5) (8, 3) (8, 3) (5, 5) (5, 5) (6, 1) (2, 2) (6, 1) (2, 2) (6, 1) (2, 2) (6, 1) (2, 2) (6, 1) (2, 2) (6, 1) (2, 2) (6, 1) (2, 2) (6, 1) (2, 2) BT1T2B3T4 (10, 0) (10, 0) (6, 1) (6, 1) (10, 0) (10, 0) (6, 1) (6, 1) (10, 0) (10, 0) (6, 1) (6, 1) (10, 0) (10, 0) (6, 1) (6, 1) (4, 4) (1, 6) (4, 4) (1, 6) (4, 4) (1, 6) (4, 4) (1, 6) (4, 4) (1, 6) (4, 4) (1, 6) (4, 4) (1, 6) (4, 4) (1, 6) BT1T2B3B4 (10, 0) (10, 0) (6, 1) (6, 1) (10, 0) (10, 0) (6, 1) (6, 1) (10, 0) (10, 0) (6, 1) (6, 1) (10, 0) (10, 0) (6, 1) (6, 1) (6, 1) (2, 2) (6, 1) (2, 2) (6, 1) (2, 2) (6, 1) (2, 2) (6, 1) (2, 2) (6, 1) (2, 2) (6, 1) (2, 2) (6, 1) (2, 2) BT1B2T3T4 (8, 3) (8, 3) (5, 5) (5, 5) (8, 3) (8, 3) (5, 5) (5, 5) (8, 3) (8, 3) (5, 5) (5, 5) (8, 3) (8, 3) (5, 5) (5, 5) (4, 4) (1, 6) (4, 4) (1, 6) (4, 4) (1, 6) (4, 4) (1, 6) (4, 4) (1, 6) (4, 4) (1, 6) (4, 4) (1, 6) (4, 4) (1, 6) BT1B2T3B4 (8, 3) (8, 3) (5, 5) (5, 5) (8, 3) (8, 3) (5, 5) (5, 5) (8, 3) (8, 3) (5, 5) (5, 5) (8, 3) (8, 3) (5, 5) (5, 5) (6, 1) (2, 2) (6, 1) (2, 2) (6, 1) (2, 2) (6, 1) (2, 2) (6, 1) (2, 2) (6, 1) (2, 2) (6, 1) (2, 2) (6, 1) (2, 2) BT1B2B3T4 (10, 0) (10, 0) (6, 1) (6, 1) (10, 0) (10, 0) (6, 1) (6, 1) (10, 0) (10, 0) (6, 1) (6, 1) (10, 0) (10, 0) (6, 1) (6, 1) (4, 4) (1, 6) (4, 4) (1, 6) (4, 4) (1, 6) (4, 4) (1, 6) (4, 4) (1, 6) (4, 4) (1, 6) (4, 4) (1, 6) (4, 4) (1, 6) BT1B2B3B4 (10, 0) (10, 0) (6, 1) (6, 1) (10, 0) (10, 0) (6, 1) (6, 1) (10, 0) (10, 0) (6, 1) (6, 1) (10, 0) (10, 0) (6, 1) (6, 1) (6, 1) (2, 2) (6, 1) (2, 2) (6, 1) (2, 2) (6, 1) (2, 2) (6, 1) (2, 2) (6, 1) (2, 2) (6, 1) (2, 2) (6, 1) (2, 2) BB1T2T3T4 (8, 3) (8, 3) (5, 5) (5, 5) (8, 3) (8, 3) (5, 5) (5, 5) (8, 3) (8, 3) (5, 5) (5, 5) (8, 3) (8, 3) (5, 5) (5, 5) (4, 4) (1, 6) (4, 4) (1, 6) (4, 4) (1, 6) (4, 4) (1, 6) (4, 4) (1, 6) (4, 4) (1, 6) (4, 4) (1, 6) (4, 4) (1, 6) BB1T2T3B4 (8, 3) (8, 3) (5, 5) (5, 5) (8, 3) (8, 3) (5, 5) (5, 5) (8, 3) (8, 3) (5, 5) (5, 5) (8, 3) (8, 3) (5, 5) (5, 5) (6, 1) (2, 2) (6, 1) (2, 2) (6, 1) (2, 2) (6, 1) (2, 2) (6, 1) (2, 2) (6, 1) (2, 2) (6, 1) (2, 2) (6, 1) (2, 2) BB1T2B3T4 (10, 0) (10, 0) (6, 1) (6, 1) (10, 0) (10, 0) (6, 1) (6, 1) (10, 0) (10, 0) (6, 1) (6, 1) (10, 0) (10, 0) (6, 1) (6, 1) (4, 4) (1, 6) (4, 4) (1, 6) (4, 4) (1, 6) (4, 4) (1, 6) (4, 4) (1, 6) (4, 4) (1, 6) (4, 4) (1, 6) (4, 4) (1, 6) BB1T2B3B4 (10, 0) (10, 0) (6, 1) (6, 1) (10, 0) (10, 0) (6, 1) (6, 1) (10, 0) (10, 0) (6, 1) (6, 1) (10, 0) (10, 0) (6, 1) (6, 1) (6, 1) (2, 2) (6, 1) (2, 2) (6, 1) (2, 2) (6, 1) (2, 2) (6, 1) (2, 2) (6, 1) (2, 2) (6, 1) (2, 2) (6, 1) (2, 2) BB1B2T3T4 (8, 3) (8, 3) (5, 5) (5, 5) (8, 3) (8, 3) (5, 5) (5, 5) (8, 3) (8, 3) (5, 5) (5, 5) (8, 3) (8, 3) (5, 5) (5, 5) (4, 4) (1, 6) (4, 4) (1, 6) (4, 4) (1, 6) (4, 4) (1, 6) (4, 4) (1, 6) (4, 4) (1, 6) (4, 4) (1, 6) (4, 4) (1, 6) BB1B2T3B4 (8, 3) (8, 3) (5, 5) (5, 5) (8, 3) (8, 3) (5, 5) (5, 5) (8, 3) (8, 3) (5, 5) (5, 5) (8, 3) (8, 3) (5, 5) (5, 5) (6, 1) (2, 2) (6, 1) (2, 2) (6, 1) (2, 2) (6, 1) (2, 2) (6, 1) (2, 2) (6, 1) (2, 2) (6, 1) (2, 2) (6, 1) (2, 2) BB1B2B3T4 (10, 0) (10, 0) (6, 1) (6, 1) (10, 0) (10, 0) (6, 1) (6, 1) (10, 0) (10, 0) (6, 1) (6, 1) (10, 0) (10, 0) (6, 1) (6, 1) (4, 4) (1, 6) (4, 4) (1, 6) (4, 4) (1, 6) (4, 4) (1, 6) (4, 4) (1, 6) (4, 4) (1, 6) (4, 4) (1, 6) (4, 4) (1, 6) BB1B2B3B4 (10, 0) (10, 0) (6, 1) (6, 1) (10, 0) (10, 0) (6, 1) (6, 1) (10, 0) (10, 0) (6, 1) (6, 1) (10, 0) (10, 0) (6, 1) (6, 1) (6, 1) (2, 2) (6, 1) (2, 2) (6, 1) (2, 2) (6, 1) (2, 2) (6, 1) (2, 2) (6, 1) (2, 2) (6, 1) (2, 2) (6, 1) (2, 2)
Battaglia dei sessi ripetuta: albero, forma strategica e corrispondenza di miglior risposta in pure
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T T1T2T3T4 ( 4 , 2 ) ( 4 , 2 ) ( 4 , 2 ) ( 4 , 2 ) ( 4 , 2 ) ( 4 , 2 ) ( 4 , 2 ) ( 4 , 2 ) (2, 1) (2, 1) (2, 1) (2, 1) (2, 1) (2, 1) (2, 1) (2, 1) (2, 1) ( 2 , 1) (2, 1) ( 2 , 1) (0, 0) (0, 0) (0, 0) (0, 0) (2, 1) ( 2 , 1) (2, 1) ( 2 , 1) (0, 0) (0, 0) (0, 0) (0, 0) T T1T2T3B4 ( 4 , 2 ) ( 4 , 2 ) ( 4 , 2 ) ( 4 , 2 ) ( 4 , 2 ) ( 4 , 2 ) ( 4 , 2 ) ( 4 , 2 ) (2, 1) (2, 1) (2, 1) (2, 1) (2, 1) (2, 1) (2, 1) (2, 1) (2, 1) ( 2 , 1) (2, 1) ( 2 , 1) (0, 0) (0, 0) (0, 0) (0, 0) (2, 1) ( 2 , 1) (2, 1) ( 2 , 1) (0, 0) (0, 0) (0, 0) (0, 0) T T1T2B3T4 ( 4 , 2 ) ( 4 , 2 ) ( 4 , 2 ) ( 4 , 2 ) ( 4 , 2 ) ( 4 , 2 ) ( 4 , 2 ) ( 4 , 2 ) (2, 1) (2, 1) (2, 1) (2, 1) (2, 1) (2, 1) (2, 1) (2, 1) (2, 1) ( 2 , 1) (2, 1) ( 2 , 1) (0, 0) (0, 0) (0, 0) (0, 0) (2, 1) ( 2 , 1) (2, 1) ( 2 , 1) (0, 0) (0, 0) (0, 0) (0, 0) T T1T2B3B4 ( 4 , 2 ) ( 4 , 2 ) ( 4 , 2 ) ( 4 , 2 ) ( 4 , 2 ) ( 4 , 2 ) ( 4 , 2 ) ( 4 , 2 ) (2, 1) (2, 1) (2, 1) (2, 1) (2, 1) (2, 1) (2, 1) (2, 1) (2, 1) ( 2 , 1) (2, 1) ( 2 , 1) (0, 0) (0, 0) (0, 0) (0, 0) (2, 1) ( 2 , 1) (2, 1) ( 2 , 1) (0, 0) (0, 0) (0, 0) (0, 0) T T1B2T3T4 ( 4 , 2 ) ( 4 , 2 ) ( 4 , 2 ) ( 4 , 2 ) ( 4 , 2 ) ( 4 , 2 ) ( 4 , 2 ) ( 4 , 2 ) (2, 1) (2, 1) (2, 1) (2, 1) (2, 1) (2, 1) (2, 1) (2, 1) (0, 0) (0, 0) (0, 0) (0, 0) (1, 2 ) (1, 2 ) (1, 2 ) (1, 2 ) (0, 0) (0, 0) (0, 0) (0, 0) (1, 2 ) (1, 2 ) (1, 2 ) (1, 2 ) T T1B2T3B4 ( 4 , 2 ) ( 4 , 2 ) ( 4 , 2 ) ( 4 , 2 ) ( 4 , 2 ) ( 4 , 2 ) ( 4 , 2 ) ( 4 , 2 ) (2, 1) (2, 1) (2, 1) (2, 1) (2, 1) (2, 1) (2, 1) (2, 1) (0, 0) (0, 0) (0, 0) (0, 0) (1, 2 ) (1, 2 ) (1, 2 ) (1, 2 ) (0, 0) (0, 0) (0, 0) (0, 0) (1, 2 ) (1, 2 ) (1, 2 ) (1, 2 ) T T1B2B3T4 ( 4 , 2 ) ( 4 , 2 ) ( 4 , 2 ) ( 4 , 2 ) ( 4 , 2 ) ( 4 , 2 ) ( 4 , 2 ) ( 4 , 2 ) (2, 1) (2, 1) (2, 1) (2, 1) (2, 1) (2, 1) (2, 1) (2, 1) (0, 0) (0, 0) (0, 0) (0, 0) (1, 2 ) (1, 2 ) (1, 2 ) (1, 2 ) (0, 0) (0, 0) (0, 0) (0, 0) (1, 2 ) (1, 2 ) (1, 2 ) (1, 2 ) T T1B2B3B4 ( 4 , 2 ) ( 4 , 2 ) ( 4 , 2 ) ( 4 , 2 ) ( 4 , 2 ) ( 4 , 2 ) ( 4 , 2 ) ( 4 , 2 ) (2, 1) (2, 1) (2, 1) (2, 1) (2, 1) (2, 1) (2, 1) (2, 1) (0, 0) (0, 0) (0, 0) (0, 0) (1, 2 ) (1, 2 ) (1, 2 ) (1, 2 ) (0, 0) (0, 0) (0, 0) (0, 0) (1, 2 ) (1, 2 ) (1, 2 ) (1, 2 ) T B1T2T3T4 (1, 2) (1, 2) (1, 2) (1, 2) (1, 2) (1, 2) (1, 2) (1, 2) ( 3 , 3 ) ( 3 , 3 ) ( 3 , 3 ) ( 3 , 3 ) ( 3 , 3 ) ( 3 , 3 ) ( 3 , 3 ) ( 3 , 3 ) (2, 1) ( 2 , 1) (2, 1) ( 2 , 1) (0, 0) (0, 0) (0, 0) (0, 0) (2, 1) ( 2 , 1) (2, 1) ( 2 , 1) (0, 0) (0, 0) (0, 0) (0, 0) T B1T2T3B4 (1, 2) (1, 2) (1, 2) (1, 2) (1, 2) (1, 2) (1, 2) (1, 2) ( 3 , 3 ) ( 3 , 3 ) ( 3 , 3 ) ( 3 , 3 ) ( 3 , 3 ) ( 3 , 3 ) ( 3 , 3 ) ( 3 , 3 ) (2, 1) ( 2 , 1) (2, 1) ( 2 , 1) (0, 0) (0, 0) (0, 0) (0, 0) (2, 1) ( 2 , 1) (2, 1) ( 2 , 1) (0, 0) (0, 0) (0, 0) (0, 0) T B1T2B3T4 (1, 2) (1, 2) (1, 2) (1, 2) (1, 2) (1, 2) (1, 2) (1, 2) ( 3 , 3 ) ( 3 , 3 ) ( 3 , 3 ) ( 3 , 3 ) ( 3 , 3 ) ( 3 , 3 ) ( 3 , 3 ) ( 3 , 3 ) (2, 1) ( 2 , 1) (2, 1) ( 2 , 1) (0, 0) (0, 0) (0, 0) (0, 0) (2, 1) ( 2 , 1) (2, 1) ( 2 , 1) (0, 0) (0, 0) (0, 0) (0, 0) T B1T2B3B4 (1, 2) (1, 2) (1, 2) (1, 2) (1, 2) (1, 2) (1, 2) (1, 2) ( 3 , 3 ) ( 3 , 3 ) ( 3 , 3 ) ( 3 , 3 ) ( 3 , 3 ) ( 3 , 3 ) ( 3 , 3 ) ( 3 , 3 ) (2, 1) ( 2 , 1) (2, 1) ( 2 , 1) (0, 0) (0, 0) (0, 0) (0, 0) (2, 1) ( 2 , 1) (2, 1) ( 2 , 1) (0, 0) (0, 0) (0, 0) (0, 0) T B1B2T3T4 (1, 2) (1, 2) (1, 2) (1, 2) (1, 2) (1, 2) (1, 2) (1, 2) ( 3 , 3 ) ( 3 , 3 ) ( 3 , 3 ) ( 3 , 3 ) ( 3 , 3 ) ( 3 , 3 ) ( 3 , 3 ) ( 3 , 3 ) (0, 0) (0, 0) (0, 0) (0, 0) (1, 2) (1, 2) (1, 2) (1, 2) (0, 0) (0, 0) (0, 0) (0, 0) (1, 2) (1, 2) (1, 2) (1, 2) T B1B2T3B4 (1, 2) (1, 2) (1, 2) (1, 2) (1, 2) (1, 2) (1, 2) (1, 2) ( 3 , 3 ) ( 3 , 3 ) ( 3 , 3 ) ( 3 , 3 ) ( 3 , 3 ) ( 3 , 3 ) ( 3 , 3 ) ( 3 , 3 ) (0, 0) (0, 0) (0, 0) (0, 0) (1, 2) (1, 2) (1, 2) (1, 2) (0, 0) (0, 0) (0, 0) (0, 0) (1, 2) (1, 2) (1, 2) (1, 2) T B1B2B3T4 (1, 2) (1, 2) (1, 2) (1, 2) (1, 2) (1, 2) (1, 2) (1, 2) ( 3 , 3 ) ( 3 , 3 ) ( 3 , 3 ) ( 3 , 3 ) ( 3 , 3 ) ( 3 , 3 ) ( 3 , 3 ) ( 3 , 3 ) (0, 0) (0, 0) (0, 0) (0, 0) (1, 2) (1, 2) (1, 2) (1, 2) (0, 0) (0, 0) (0, 0) (0, 0) (1, 2) (1, 2) (1, 2) (1, 2) T B1B2B3B4 (1, 2) (1, 2) (1, 2) (1, 2) (1, 2) (1, 2) (1, 2) (1, 2) ( 3 , 3 ) ( 3 , 3 ) ( 3 , 3 ) ( 3 , 3 ) ( 3 , 3 ) ( 3 , 3 ) ( 3 , 3 ) ( 3 , 3 ) (0, 0) (0, 0) (0, 0) (0, 0) (1, 2) (1, 2) (1, 2) (1, 2) (0, 0) (0, 0) (0, 0) (0, 0) (1, 2) (1, 2) (1, 2) (1, 2) BT1T2T3T4 (2, 1) (2, 1) (0, 0) (0, 0) (2, 1) (2, 1) (0, 0) (0, 0) (2, 1) (2, 1) (0, 0) (0, 0) (2, 1) (2, 1) (0, 0) (0, 0) ( 3 , 3 ) (1, 2) ( 3 , 3 ) (1, 2) ( 3 , 3 ) (1, 2) ( 3 , 3 ) (1, 2) ( 3 , 3 ) (1, 2) ( 3 , 3 ) (1, 2) ( 3 , 3 ) (1, 2) ( 3 , 3 ) (1, 2) BT1T2T3B4 (2, 1) (2, 1) (0, 0) (0, 0) (2, 1) (2, 1) (0, 0) (0, 0) (2, 1) (2, 1) (0, 0) (0, 0) (2, 1) (2, 1) (0, 0) (0, 0) (1, 2) ( 2 , 4 ) (1, 2) ( 2 , 4 ) (1, 2) ( 2 , 4 ) (1, 2) ( 2 , 4 ) (1, 2) ( 2 , 4 ) (1, 2) ( 2 , 4 ) (1, 2) ( 2 , 4 ) (1, 2) ( 2 , 4 ) BT1T2B3T4 (0, 0) (0, 0) (1, 2) (1, 2) (0, 0) (0, 0) (1, 2) (1, 2) (0, 0) (0, 0) (1, 2) (1, 2) (0, 0) (0, 0) (1, 2) (1, 2) ( 3 , 3 ) (1, 2) ( 3 , 3 ) (1, 2) ( 3 , 3 ) (1, 2) ( 3 , 3 ) (1, 2) ( 3 , 3 ) (1, 2) ( 3 , 3 ) (1, 2) ( 3 , 3 ) (1, 2) ( 3 , 3 ) (1, 2) BT1T2B3B4 (0, 0) (0, 0) (1, 2) (1, 2) (0, 0) (0, 0) (1, 2) (1, 2) (0, 0) (0, 0) (1, 2) (1, 2) (0, 0) (0, 0) (1, 2) (1, 2) (1, 2) ( 2 , 4 ) (1, 2) ( 2 , 4 ) (1, 2) ( 2 , 4 ) (1, 2) ( 2 , 4 ) (1, 2) ( 2 , 4 ) (1, 2) ( 2 , 4 ) (1, 2) ( 2 , 4 ) (1, 2) ( 2 , 4 ) BT1B2T3T4 (2, 1) (2, 1) (0, 0) (0, 0) (2, 1) (2, 1) (0, 0) (0, 0) (2, 1) (2, 1) (0, 0) (0, 0) (2, 1) (2, 1) (0, 0) (0, 0) ( 3 , 3 ) (1, 2) ( 3 , 3 ) (1, 2) ( 3 , 3 ) (1, 2) ( 3 , 3 ) (1, 2) ( 3 , 3 ) (1, 2) ( 3 , 3 ) (1, 2) ( 3 , 3 ) (1, 2) ( 3 , 3 ) (1, 2) BT1B2T3B4 (2, 1) (2, 1) (0, 0) (0, 0) (2, 1) (2, 1) (0, 0) (0, 0) (2, 1) (2, 1) (0, 0) (0, 0) (2, 1) (2, 1) (0, 0) (0, 0) (1, 2) ( 2 , 4 ) (1, 2) ( 2 , 4 ) (1, 2) ( 2 , 4 ) (1, 2) ( 2 , 4 ) (1, 2) ( 2 , 4 ) (1, 2) ( 2 , 4 ) (1, 2) ( 2 , 4 ) (1, 2) ( 2 , 4 ) BT1B2B3T4 (0, 0) (0, 0) (1, 2) (1, 2) (0, 0) (0, 0) (1, 2) (1, 2) (0, 0) (0, 0) (1, 2) (1, 2) (0, 0) (0, 0) (1, 2) (1, 2) ( 3 , 3 ) (1, 2) ( 3 , 3 ) (1, 2) ( 3 , 3 ) (1, 2) ( 3 , 3 ) (1, 2) ( 3 , 3 ) (1, 2) ( 3 , 3 ) (1, 2) ( 3 , 3 ) (1, 2) ( 3 , 3 ) (1, 2) BT1B2B3B4 (0, 0) (0, 0) (1, 2) (1, 2) (0, 0) (0, 0) (1, 2) (1, 2) (0, 0) (0, 0) (1, 2) (1, 2) (0, 0) (0, 0) (1, 2) (1, 2) (1, 2) ( 2 , 4 ) (1, 2) ( 2 , 4 ) (1, 2) ( 2 , 4 ) (1, 2) ( 2 , 4 ) (1, 2) ( 2 , 4 ) (1, 2) ( 2 , 4 ) (1, 2) ( 2 , 4 ) (1, 2) ( 2 , 4 ) BB1T2T3T4 (2, 1) (2, 1) (0, 0) (0, 0) (2, 1) (2, 1) (0, 0) (0, 0) (2, 1) (2, 1) (0, 0) (0, 0) (2, 1) (2, 1) (0, 0) (0, 0) ( 3 , 3 ) (1, 2) ( 3 , 3 ) (1, 2) ( 3 , 3 ) (1, 2) ( 3 , 3 ) (1, 2) ( 3 , 3 ) (1, 2) ( 3 , 3 ) (1, 2) ( 3 , 3 ) (1, 2) ( 3 , 3 ) (1, 2) BB1T2T3B4 (2, 1) (2, 1) (0, 0) (0, 0) (2, 1) (2, 1) (0, 0) (0, 0) (2, 1) (2, 1) (0, 0) (0, 0) (2, 1) (2, 1) (0, 0) (0, 0) (1, 2) ( 2 , 4 ) (1, 2) ( 2 , 4 ) (1, 2) ( 2 , 4 ) (1, 2) ( 2 , 4 ) (1, 2) ( 2 , 4 ) (1, 2) ( 2 , 4 ) (1, 2) ( 2 , 4 ) (1, 2) ( 2 , 4 ) BB1T2B3T4 (0, 0) (0, 0) (1, 2) (1, 2) (0, 0) (0, 0) (1, 2) (1, 2) (0, 0) (0, 0) (1, 2) (1, 2) (0, 0) (0, 0) (1, 2) (1, 2) ( 3 , 3 ) (1, 2) ( 3 , 3 ) (1, 2) ( 3 , 3 ) (1, 2) ( 3 , 3 ) (1, 2) ( 3 , 3 ) (1, 2) ( 3 , 3 ) (1, 2) ( 3 , 3 ) (1, 2) ( 3 , 3 ) (1, 2) BB1T2B3B4 (0, 0) (0, 0) (1, 2) (1, 2) (0, 0) (0, 0) (1, 2) (1, 2) (0, 0) (0, 0) (1, 2) (1, 2) (0, 0) (0, 0) (1, 2) (1, 2) (1, 2) ( 2 , 4 ) (1, 2) ( 2 , 4 ) (1, 2) ( 2 , 4 ) (1, 2) ( 2 , 4 ) (1, 2) ( 2 , 4 ) (1, 2) ( 2 , 4 ) (1, 2) ( 2 , 4 ) (1, 2) ( 2 , 4 ) BB1B2T3T4 (2, 1) (2, 1) (0, 0) (0, 0) (2, 1) (2, 1) (0, 0) (0, 0) (2, 1) (2, 1) (0, 0) (0, 0) (2, 1) (2, 1) (0, 0) (0, 0) ( 3 , 3 ) (1, 2) ( 3 , 3 ) (1, 2) ( 3 , 3 ) (1, 2) ( 3 , 3 ) (1, 2) ( 3 , 3 ) (1, 2) ( 3 , 3 ) (1, 2) ( 3 , 3 ) (1, 2) ( 3 , 3 ) (1, 2) BB1B2T3B4 (2, 1) (2, 1) (0, 0) (0, 0) (2, 1) (2, 1) (0, 0) (0, 0) (2, 1) (2, 1) (0, 0) (0, 0) (2, 1) (2, 1) (0, 0) (0, 0) (1, 2) ( 2 , 4 ) (1, 2) ( 2 , 4 ) (1, 2) ( 2 , 4 ) (1, 2) ( 2 , 4 ) (1, 2) ( 2 , 4 ) (1, 2) ( 2 , 4 ) (1, 2) ( 2 , 4 ) (1, 2) ( 2 , 4 ) BB1B2B3T4 (0, 0) (0, 0) (1, 2) (1, 2) (0, 0) (0, 0) (1, 2) (1, 2) (0, 0) (0, 0) (1, 2) (1, 2) (0, 0) (0, 0) (1, 2) (1, 2) ( 3 , 3 ) (1, 2) ( 3 , 3 ) (1, 2) ( 3 , 3 ) (1, 2) ( 3 , 3 ) (1, 2) ( 3 , 3 ) (1, 2) ( 3 , 3 ) (1, 2) ( 3 , 3 ) (1, 2) ( 3 , 3 ) (1, 2) BB1B2B3B4 (0, 0) (0, 0) (1, 2) (1, 2) (0, 0) (0, 0) (1, 2) (1, 2) (0, 0) (0, 0) (1, 2) (1, 2) (0, 0) (0, 0) (1, 2) (1, 2) (1, 2) ( 2 , 4 ) (1, 2) ( 2 , 4 ) (1, 2) ( 2 , 4 ) (1, 2) ( 2 , 4 ) (1, 2) ( 2 , 4 ) (1, 2) ( 2 , 4 ) (1, 2) ( 2 , 4 ) (1, 2) ( 2 , 4 )