Tutorial1

Tutorial1 - CSC5350 Game Theory in Computer Science CHEN...

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Unformatted text preview: CSC5350 Game Theory in Computer Science CHEN Wenhao whchen@cse.cuhk.edu.hk SHB 905 Tutorial 1 Outline ¡ Strategic game ¡ A real life example ¡ Nash equilibrium ¡ Examples Strategic game ¡ Consists of ¡ A set of players N ¡ A set of actions A i for each player i ∈ N ¡ For each player, preferences over the set of action profiles ¡ Action profile ¡ list of all the player ’ s actions ¡ Preferences over the set of action profiles ¡ expressed by payoffs Strategic game ¡ Players chooses their actions ¡ once and for all ¡ simultaneously ¡ without informed of other players ’ actions ¡ Simultaneous-move game A real life example ¡ Working on a joint project ¡ Players: two people work on a joint project ¡ Actions: work hard or goof off ¡ Action profiles: ¡ (Work hard , Work hard ) ¡ (Work hard , Goof off) ¡ (Goof off, Work hard ) ¡ (Goof off, Goof off) A real life example ¡ Preferences ¡ If your friend works hard, you prefer to goof off ¡ You prefer the outcome of your both working hard to the outcome of your both goofing off ¡ The worst outcome for you is that you work hard and your friend goofs off ¡ Your friend has the same preferences A real life example ¡ Payoff matrix ¡ If your friend works hard, you prefer to goof off 1, 1 3, 0 0, 3 2, 2 Person 2 Work hard Goof off Person 1 Work hard Goof off A real life example ¡ Payoff matrix ¡ If your friend works hard, you prefer to goof off 1, 1 3 , 0 0, 3 2, 2 Person 2 Work hard Goof off Person 1 Work hard Goof off A real life example...
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Tutorial1 - CSC5350 Game Theory in Computer Science CHEN...

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