Can the status hierarchy facilitate the emergence of group cooperation? In an evolutionary model , Mark (2018) provided a positive answer to the theoretical inquiry . Despite the contribution, we critiqued that there are not only mathematical errors in Mark's model but also limitations in applying it to other hierarchical structures. We present a more generalized model by introducing a novel hierarchy measure to interpolate the cooperativeness of group members in any hierarchy structure of interest. We derive the conditions under which cooperation can emerge and verify our analytical predictions by agent-based computer simulation. In general, our evolutionary model provides stronger evidence than Mark's original model with respect to how status behavior can facilitate the emergence of social cooperation .
In a refreshing mathematical investigation , Mark (2018) shows that status hierarchy may facilitate the emergence of cooperation in groups . Despite the contribution, the present paper notes that there are limitations in Mark's model that makes it less realistic than it could in explaining real-world experiences. Consequently, we present a more generalized modified framework in which his model is a special case, by developing and introducing a new hierarchy measure into the model to estimate the cooperation level in a set of hierarchical structures omitted in Mark's work yet common in everyday life--those with multiple leaders. We derived the conditions under which cooperation can emerge in these groups, and verified our analytical predictions in agent-based computer simulations. In so doing, not only does our model elaborate on its predecessor and support Mark's general prediction. For theory, our work further reveals two novel phenomena of group cooperation: Both the relative number of cooperators to defectors in groups and the assortativity among these different roles can backfire; they are not always the higher, the better for cooperation to thrive. For methodology, the hierarchy measure developed and our model using the measure may also be applied in future research on a wide range of related topics .
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Can the status hierarchy facilitate the emergence of group cooperation? In an evolutionary model
In a refreshing mathematical investigation
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provided a positive answer to the theoretical inquiry
shows that status hierarchy may facilitate the emergence of cooperation in groups
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we critiqued
the present paper notes
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not only mathematical errors
limitations
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but also limitations in applying it to other hierarchical structures. We
that makes it less realistic than it could in explaining real-world experiences. Consequently, we
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model by introducing a novel hierarchy measure to interpolate the cooperativeness of group members in any hierarchy structure of interest. We derive
modified framework in which his model is a special case, by developing and introducing a new hierarchy measure into the model to estimate the cooperation level in a set of hierarchical structures omitted in Mark's work yet common in everyday life--those with multiple leaders. We derived
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and verify
in these groups, and verified
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by
in
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simulation. In general, our evolutionary model provides stronger evidence than
simulations. In so doing, not only does our model elaborate on its predecessor and support
R
original model with respect to how status behavior can facilitate the emergence of social cooperation
general prediction. For theory, our work further reveals two novel phenomena of group cooperation: Both the relative number of cooperators to defectors in groups and the assortativity among these different roles can backfire; they are not always the higher, the better for cooperation to thrive. For methodology, the hierarchy measure developed and our model using the measure may also be applied in future research on a wide range of related topics