Abstract

The well-known Braess paradox in congestion games states that adding an additional road to a transportation network may increase the total travel time, and consequently decrease the overall efficiency. This paper presents a paradox in a similar spirit and involves a distributed resource allocation game on networks, namely the power allocation game between countries developed in Li and Morse &#x0028 2017 &#x0029. The paradox is that by having additional friends may actually decrease a country &#x02BC s total welfare in equilibrium. Conditions for this paradox to occur as well as the price of anarchy results are also derived.

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