Horizon-K Farsightedness in Criminal Networks

P.J.J. Herings; A. Mauleon; V. Vannetelbosch

doi:10.3390/g12030056

Horizon-K Farsightedness in Criminal Networks

P.J.J. Herings, A. Mauleon^*, V. Vannetelbosch

^*Corresponding author for this work

Microeconomics & Public Economics

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

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.

Original language	English
Article number	56
Number of pages	13
Journal	Games
Volume	12
Issue number	3
DOIs	https://doi.org/10.3390/g12030056
Publication status	Published - 1 Sept 2021

Keywords

limited farsightedness
stability
criminal networks
CRIME

Access to Document

10.3390/g12030056Licence: CC BY

Cite this

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title = "Horizon-K Farsightedness in Criminal Networks",

abstract = "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.",

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Y1 - 2021/9/1

N2 - 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.

AB - 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.

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