Abstract

We survey some recent work of Maria Serna concerning strategic games. We first examine some results related to the formal representation of strategic games and the complexity of problems related to both the existence of equilibria and the equivalence of games. These results provided a better understanding of how the succinctness of the game representation affects the complexity of such problems.We then describe some work dealing with the definition of new strategic games. The study of a Network Formation Game with asymmetric players, and the introduction of Celebrity Games as well as of Strategic Search Games intend to explain the natural behaviour of agents acting in some particular environments like communication networks, social networks, or even networks that contain valuable items hidden in different nodes.

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