Measuring Social Complexity and the Emergence of Cooperation from Entropic Principles. The Collapse of Rapa Nui as a Case Study
Measuring Social Complexity and the Emergence of Cooperation from Entropic Principles. The Collapse of Rapa Nui as a Case Study
O Lopez-Corona, P Padilla, E Schmelkes, JC Toledo-Roy, A Frank, A Huerta, D Mustri-Trejo, K Perez, A Ruiz, O Valdes, F Zamudio
The quantitative assessment of the state and dynamics
of a social system is a very difficult problem. This issue is important
for both practical and theoretical reasons such as establishing the
efficiency of social action programs, detecting possible community needs
or allocating resources. In this paper we propose a new general
theoretical framework for the study of social complexity, based on the
relation of complexity and entropy in combination with evolutionary
dynamics to assess the dynamics of the system. Imposing the second law
of thermodynamics, we study the conditions under which cooperation
emerges and demonstrate that it depends on the relative importance of
local and global fitness. As cooperation is a central concept in
sustainability, this thermodynamic-informational approach allows new
insights and means to assess it using the concept of Helmholtz free
energy. We then introduce a new set of equations that consider the more
general case where the social system changes both in time and space, and
relate our findings to sustainability. Finally we present a model for
the collapse of Rapa Nui island civilization in NetLogo. We applied our
approach to measure both the entropy production and the complexity of
the system and the results support our purpose that sustainability needs
a positive entropy production regime which is related to cooperation
emergence.
http://ijeab.com/upload_document/issue_files/5%20IJEAB-APR-2017-15.pdf
http://ijeab.com/submit-paper/
O Lopez-Corona, P Padilla, E Schmelkes, JC Toledo-Roy, A Frank, A Huerta, D Mustri-Trejo, K Perez, A Ruiz, O Valdes, F Zamudio
The quantitative assessment of the state and dynamics
of a social system is a very difficult problem. This issue is important
for both practical and theoretical reasons such as establishing the
efficiency of social action programs, detecting possible community needs
or allocating resources. In this paper we propose a new general
theoretical framework for the study of social complexity, based on the
relation of complexity and entropy in combination with evolutionary
dynamics to assess the dynamics of the system. Imposing the second law
of thermodynamics, we study the conditions under which cooperation
emerges and demonstrate that it depends on the relative importance of
local and global fitness. As cooperation is a central concept in
sustainability, this thermodynamic-informational approach allows new
insights and means to assess it using the concept of Helmholtz free
energy. We then introduce a new set of equations that consider the more
general case where the social system changes both in time and space, and
relate our findings to sustainability. Finally we present a model for
the collapse of Rapa Nui island civilization in NetLogo. We applied our
approach to measure both the entropy production and the complexity of
the system and the results support our purpose that sustainability needs
a positive entropy production regime which is related to cooperation
emergence.
http://ijeab.com/upload_document/issue_files/5%20IJEAB-APR-2017-15.pdf
http://ijeab.com/submit-paper/
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