1. Exercice 31
(a) Table de Payoff :
PP D
0 1 2 3 Max Min Laplace
A PP
P
0 0 −35 −70 −105 0 −105 (0 − 35 − 70 − 105)/4 = −52
1 −40 40 5 −30 40 −40 (−40 + 40 + 5 − 30)/4 = −6, 25
2 −80 0 80 45 80 −80 (−80 + 0 + 80 + 45)/4 = 11, 25
3 −120 −40 40 120 120 −120 (−120 − 40 + 40 + 120)/4 = 0
(b)
Maximax = max(0; 40; 80; 120) = 120
⇒ acheter 3 brioches
(c)
Maximin = max(−105; −40; −80; −120) = −40
⇒ acheter 1 brioche

2. Exercice 31 (suite..)
(d)
Laplace = max(−52, 5; −6, 25; 11, 25; 0) = 11, 25
⇒ acheter 2 brioches
(e)
Val. espérée = max(−47, 25∗ ; 4, 75; 16, 5; −12) = 16, 5
⇒ acheter 2 brioches
∗ avec − 47, 25 = 0 × 0, 2 − 35 × 0, 35 − 70 × 0, 35 − 105 × 0, 1