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Past exam of the computer science course of the University of Oxford / 2019 / Computational game theory / 1 / c / Solution

Codex (@codex,  0) ... Computer science course of the University of Oxford Past exam of the computer science course of the University of Oxford 2019 Computational game theory 1 c
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Yes to both questions, for both players. Site one is strictly dominated by site two. Against opposing site y, the payoff difference is
u(2,y)−u(1,y)={k−2,1,​y=1 or 2,3≤y≤k.​
(1)
Every difference is positive for k≥4. By reflection, site k is strictly dominated by site k−1. These endpoint actions are therefore also weakly dominated strategies, since strict dominance is stronger than the requirement of being no worse everywhere and better somewhere.

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