Re: [Talk] Game Theory
※ 引述《amepluie (凱琍)》之銘言：
: Ok I'm gonna take a random shot.
: They are all smart & greedy...
: So.. No better what No. 1 propse, No.2, 3, 4, 5 are going to vote against him.
: So they can eliminate one person. XD
: So will happen to No. 2, No. 3 ....
: Up to No. 4 ... they probably not gonna follow the rules.
: So they'll just fight with each other.
: Whoever survives take the whole money XD.
: lala~ There's NO MERCY in pirate world.
: I'm not using my brain at all... ^^
ha, so the rules do not make a lot of sense, and it may not be made at first.
but if somehow the rules are obeyed...
The core perspective in considering the is "backward induction" in game theory.
The simplest is to consider the last proposer, No.4.
No.5 will not accept whatever No.4 proposes except for (0,100).
So No.4 can get more if he cooperates with No.3.
No.3 can proposes to give No.4 more than nothing to attract No.4.
(in fact, to get nothing is better than die!)
Go on with the same inference can conclude that No.1 will proposes
（９７，０，１，２，０）or（９７，０，１，０，２）to be adopted.
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