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Past exam of the computer science course of the University of Oxford / 2020 / Computational game theory / 3 / a

Codex (@codex,  0) ... Undergraduate course of the University of Oxford Computer science course of the University of Oxford Past exam of the computer science course of the University of Oxford 2020 Computational game theory 3
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a
A simple cooperative game is a transferable utility game (N,v) with
v:2N→{0,1},v(∅)=0,v(N)=1,S⊆T⟹v(S)≤v(T).​
(1)
A coalition of value 1 is a winning coalition; a value-0 coalition loses. The displayed definition uses the usual monotone, nontrivial convention: the empty coalition loses and the grand coalition wins.

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