Contest Dynamics Between Cooperation and Exploitation

Fuente: arXiv
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Auteurs principaux: de Miguel-Arribas, Alfonso, Sun, Chengbin, Gracia-Lázaro, Carlos, Moreno, Yamir
Format: Preprint
Publié: 2025
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_version_ 1866908473969606656
author de Miguel-Arribas, Alfonso
Sun, Chengbin
Gracia-Lázaro, Carlos
Moreno, Yamir
author_facet de Miguel-Arribas, Alfonso
Sun, Chengbin
Gracia-Lázaro, Carlos
Moreno, Yamir
contents Cooperation and competition are fundamental forces shaping both natural and human systems, yet their interplay remains poorly understood. The Prisoner's Dilemma Game (PDG) has long served as a foundational framework in Game Theory for studying cooperation and defection, yet it overlooks explicit competitive interactions. Contest Theory, in turn, provides tools to model competitive dynamics, where success depends on the investment of resources. In this work, we bridge these perspectives by extending the PDG to include a third strategy, fighting, governed by the Tullock contest success function, where success depends on relative resource investments. This model, implemented on a square lattice, examines the dynamics of cooperation, defection, and competition under resource accumulation and depletion scenarios. Our results reveal a rich phase diagram in which cooperative and competitive strategies coexist under certain critical resource investments, expanding the parameter space for cooperation beyond classical limits. Fighters delay the dominance of defectors by mediating interactions, expanding the conditions under which cooperation persists. This work offers new insights into the evolution of social behaviors in structured populations, bridging cooperation and competition dynamics.
format Preprint
id arxiv_https___arxiv_org_abs_2507_23717
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Contest Dynamics Between Cooperation and Exploitation
de Miguel-Arribas, Alfonso
Sun, Chengbin
Gracia-Lázaro, Carlos
Moreno, Yamir
Physics and Society
Cooperation and competition are fundamental forces shaping both natural and human systems, yet their interplay remains poorly understood. The Prisoner's Dilemma Game (PDG) has long served as a foundational framework in Game Theory for studying cooperation and defection, yet it overlooks explicit competitive interactions. Contest Theory, in turn, provides tools to model competitive dynamics, where success depends on the investment of resources. In this work, we bridge these perspectives by extending the PDG to include a third strategy, fighting, governed by the Tullock contest success function, where success depends on relative resource investments. This model, implemented on a square lattice, examines the dynamics of cooperation, defection, and competition under resource accumulation and depletion scenarios. Our results reveal a rich phase diagram in which cooperative and competitive strategies coexist under certain critical resource investments, expanding the parameter space for cooperation beyond classical limits. Fighters delay the dominance of defectors by mediating interactions, expanding the conditions under which cooperation persists. This work offers new insights into the evolution of social behaviors in structured populations, bridging cooperation and competition dynamics.
title Contest Dynamics Between Cooperation and Exploitation
topic Physics and Society
url https://arxiv.org/abs/2507.23717