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