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Worst-case equilibria. (English) Zbl 1303.91012
Summary: In a system where noncooperative agents share a common resource, we propose the price of anarchy, which is the ratio between the worst possible Nash equilibrium and the social optimum, as a measure of the effectiveness of the system. Deriving upper and lower bounds for this ratio in a model where several agents share a very simple network leads to some interesting mathematics, results, and open problems.

MSC:
91A05 2-person games
91A06 \(n\)-person games, \(n>2\)
91A10 Noncooperative games
68M10 Network design and communication in computer systems
91-02 Research exposition (monographs, survey articles) pertaining to game theory, economics, and finance
68-02 Research exposition (monographs, survey articles) pertaining to computer science
Keywords:
Nash eqilibria
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