Strategic Games

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Last updated 2:10 AM on 4/10/26
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5 Terms

1
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Strategic Game

a Strategic Game consists of:

  • a set of players

  • for each player, a set of actions

  • for each player, preferences over the set of action profiles

note:

  • “time” is absent

  • all players choose an action simultaneously

  • once an action is chosen it cannot be changed

2
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Prisoner’s Dilemma

Players: the two suspects

Actions: {Quiet, Fink} for all i

Preferences:

  • u_1(Fink, Quiet) > u_1(Quiet, Quiet) > u_1(Fink, Fink) > u_1(Quiet, Fink)

  • u_2(Quiet, Fink) > u_2(Quiet, Quiet) > u_2(Fink, Fink) > u_2(Fink, Quiet)

3
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Battle of the Sexes

  • coordination game

    • players want to cooperate, even if each prefers a different outcome

4
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Matching Pennies

  • “strictly competitive” game

    • interests of the 2 players are diametrically opposed

5
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Stag Hunt

Players: the hunters

Actions: each player’s set of actions {Stag, Hare}

Preferences: for each hunter the action profile in which they Hare, followed by any profile in which he chooses Stag and at least one other hunter chooses Hare

Notes:

  • similar to PD except players rather cooperate as long as everyone else is cooperating