We study the criminal networks that will emerge in the long run when criminals are neither myopic nor completely farsighted but have some limited degree of farsightedness. We adopt the horizon-K farsighted set to answer this question. We find that in criminal networks with n criminals, the set consisting of the complete network is a horizon-K farsighted set whenever the degree of farsightedness of the criminals is larger than or equal to (n−1). Moreover, the complete network is the unique horizon-(n−1) farsighted set. Hence, the predictions obtained in case of completely farsighted criminals still hold when criminals are much less farsighted.
Herings, J.-J., Mauleon, A., & Vannetelbosch, V. (2021). Horizon-K Farsightedness in Criminal Networks. Games, 12(3), 56. https://doi.org/10.3390/g12030056 (Original work published 2021)