Game Theory
1-26-2012
•
Notation
o
Players: i , j
o
Particular Strategy of player i: si
Particular number played
o
Strategy Set: Si
{1,2,3…100)
Numbers/options available to the player
o
Strategy profile: s
Tells you what everyone else played, the outcome of the game {31, 17, 90}
o
Payoff Ui(S)={$5/players if win}
or
{0 if lose}
o
Strategy choice for every player except player i: S-i
o
Ui(si, s-i)
What’s your payoff, selecting strategy I, given everyone else selected S-i
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Hannibal
o
How many battalions can he get through. E/e= easy route H,h=hard route
o
Is there a strictly dominated strategy?
Player i’s strategy si’ is strictly dominated by si if Ui( si, s-i ) > Ui( si’, s-i )
∀
s-i
si is better no matter what s-i is
(1)
Player
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- Spring '09
- Game Theory, $5, players, player, 2 L, Hannibal, strictly dominated strategy
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