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Games 2018, 9(3), 58; https://doi.org/10.3390/g9030058

On the Spatial Diffusion of Cooperation with Endogenous Matching Institutions

1
Institute of Advanced Studies Toulouse, and Paris School of Economics, EHESS, 75014 Paris, France
2
Paris School of Economics, Ecole des Ponts ParisTech, PUC-Rio, and CEPR, 75014 Paris, France
*
Authors to whom correspondence should be addressed.
Received: 10 July 2018 / Revised: 30 July 2018 / Accepted: 9 August 2018 / Published: 13 August 2018
(This article belongs to the Special Issue Social Norms and Games)
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Abstract

This paper studies the spatial joint evolution of cooperative behavior and a partially assortative matching institution that protects cooperators. We consider cooperation as characterized by a cultural trait transmitted via an endogenous socialization mechanism and we assume that such trait can diffuse randomly in space due to some spatial noise in the socialization mechanism. Using mathematical techniques from reaction-diffusion equations theory, we show that, under some conditions, an initially localized domain of preferences for cooperation can invade the whole population and characterize the asymptotic speed of diffusion. We consider first the case with exogenous assortativeness, and then endogeneize the degree of social segmentation in matching, assuming that it is collectively set at each point of time and space by the local community. We show how relatively low cost segmenting institutions can appear in new places thanks to the spatial random diffusion of cooperation, helping a localized cultural cluster of cooperation to invade the whole population. The endogenous assortative matching institution follows a life cycle process: appearing, growing and then disappearing once a culture of cooperation is sufficiently established in the local population. View Full-Text
Keywords: cooperation; cultural transmission; spatial diffusion cooperation; cultural transmission; spatial diffusion
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
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Migliaccio, E.; Verdier, T. On the Spatial Diffusion of Cooperation with Endogenous Matching Institutions. Games 2018, 9, 58.

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