Game Theory Flashcards

1
Q

Coalition

A

Set of players who chooses same strategies

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2
Q

Singleton

A

1 player coalition

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3
Q
|    H     |      L        |
===================
 H  |  -5,-5  |    0,20     |
===================
  L  |  -20,0 |    -1,-1       |
===================Dominant? Nash? PD?
A

H Dominant
(H,H)
-5

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4
Q
|    H     |      L        |
===================
 H  |  50,50 |   30,60   |
===================
  L  |  60,30 |    40,40   |
===================Dominant? Nash? PD?
A

L
(L,L)
40

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5
Q

Tragedy of commons, 2 requirement?

A

Rivalry in consumption & Non-Excludability

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6
Q

Nash Equilibrium

A

Strategy combination where no player has the incentive to deviate from the current strategy, given strategies chosen by all other players.

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7
Q
|    H     |      L        |
===================
 H  |  4,4     |   -1,5       |
===================
  L  |  5,-1    |  -100,100  |
===================Dominant? Nash? PD?
A
No dom
No nash (-1,5), (5,-1)
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8
Q
|    H     |      L        |
===================
 H  |  1,-1     |    -1,1        |
===================
  L  |  -1,1     |   1,-1        |
===================Dominant? Nash? PD?
A

No nash

Zero sum game

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9
Q

1
D H
D H D D
(4,4) (-1,5) (5,-1) (-100,-100)

A

(5,-1)

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10
Q

Husband
Wife B O
B O B O
(5,1) (0,0) (1,5) (0,0)

A

(5,1)

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11
Q

Smith
Jones H T
H T H T
(1,-1) (-1,1) (-1,1) (1,-1)

A

XXX

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12
Q

Grim-Trigger Strategy

A

Once mistake was chosen, dominant strategy is chosen forever

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13
Q
|    H     |      L        |
===================
 H  |  -5,-5  |    -10,5     |
===================
  L  |  5,-10     |   0,0        |
===================Dominant? Nash? PD?
A

(0,0)

NOT PD, 0 > -5

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14
Q

Club good

A

Non-rivalry in consumption

Excludable by payment

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15
Q
Club Good Game
      |    H     |      L        |
===================
 H  |  5,5 |  -5??,10??    |
===================
  L  | 10??,-5??  |    0,0   |
===================
A
Club Good Game
      |    H     |      L        |
===================
 H  |  5,5 |  -5+X,10-X    |
===================
  L  | 10-X,-5+X  |    0,0   |
===================
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