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Abstract
We propose the concept of local-k farsighted consistent network for analysing network formation games where players only consider a limited number of feasible networks. A network g is said to be local-k farsightedly consistent if, for any network g' within the distance-k neighbourhood of g, either g is not defeated by g' , or g defeats g' . We show that if the utility function is (componentwise) egalitarian or satisfies reversibility or excludes externalities across components, then local-k farsightedness is more likely to be a good proxy for what would happen when players have full knowledge of all feasible networks.
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de Callataÿ, P., Mauleon, A., & Vannetelbosch, V. (2023). Local Farsightedness in Network Formation (LIDAM Discussion Paper CORE 2023/03). https://hdl.handle.net/2078.5/273324