Categorization of exchange fluxes explains the four relational models

Por • 25 dic, 2013 • Sección: sociologia

Maroussia Favre, Didier Sornette

Abstract: The theory of Relational Models (RMs) posits four elementary models of relationships governing all human interactions, singly or in combination: Communal Sharing, Authority Ranking, Equality Matching, and Market Pricing. By considering two agents that can act in one out of three ways towards one another: give resource A, give resource B, or give nothing, we find four discrete categories of exchange fluxes that map unequivocally to the four RMs. This categorization shows that the RMs form an exhaustive set of all possible elementary exchanges. Hence, the fluxes categorization answers why there are just four RMs and explains their discreteness. By considering the costs associated with extracting resources, storing them and implementing each flux category, we are able to propose conditions under which each RM should evolve. We also logically deduce the singular nature of the Authority Ranking model. Our propositions are compatible with anthropological, ethnological and historical observations and can be tested analytically and/or numerically via agent-based computer simulations.

arXiv:1312.4644v1 [physics.soc-ph]

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