I. Decision Problem without Risk or Uncertainty (with single player 1)
Choices for 1 => Outcomes => Preferences/Payoffs/Utility
s1 x u1(x) = 4
s2 y u2(y) = 5
s3 z u3(z) = 3
s4 v u4(v) = 4
s5 w u5(w) = 3
II. Decision Problem with Risk or Uncertainty (a literal Game against Nature)
Payoff Matrix Nature’s Contingencies
Player 1's choices |
c1 (Rain) |
c2 (Shine) |
s1 (take umbrella) |
2 |
3 |
s2 (don’t take) |
1 |
4 |
Cf. Insurance Problem / Ike before D-Day
III. Decision Problems with Risk or Uncertainty
|
c1 |
c2 |
c3 |
|
|
|
s1 |
5 |
3 |
10 |
|
|
|
s2 |
10 |
5 |
3 |
|
|
|
s3 |
8 |
1 |
12 |
|
|
|
s4 |
4 |
3 |
4 |
|
|
|
s5 |
8 |
2 |
5 |
|
|
|
|
c1 |
c2 |
c3 |
|
|
|
s1 |
6 |
2 |
7 |
|
|
|
s2 |
6 |
4 |
8 |
|
|
|
s3 |
3 |
3 |
6 |
|
|
|
s4 |
5 |
4 |
7 |
|
|
|