Contest dynamics between cooperation and exploitation
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. • A new contest strategy is introduced in the spatial Prisoner’s Dilemma game. • Agents compete via Tullock-like contests with strategy-dependent investments. • The model exhibits five macroscopic phases with sharp transition boundaries. • Fighters act as a stabilizing force delaying the spread of defectors. • Resource conflicts reshape cooperation in structured evolutionary populations.
Authors
- Carlos Gracia-Lázaro (ORCID: https://orcid.org/0000-0002-9769-8796)
- Alfonso de Miguel-Arribas (ORCID: https://orcid.org/0000-0001-7530-2626)
- Yamir Moreno (ORCID: https://orcid.org/0000-0002-0895-1893)
- Chengbin Sun
Institutions
- Universidad de Zaragoza (ES)
- Dalian University of Technology (CN)
- Zaragoza Logistics Center (ES)
- Universidad San Jorge (ES)
Publication Details
- Journal
- Chaos Solitons & Fractals
- Published
- 2025-08-30
- DOI
- https://doi.org/10.1016/j.chaos.2025.117049
- Citations
- 2
- Primary Topic
- Evolutionary Game Theory and Cooperation
- Type
- article
- Field-Weighted Citation Impact
- 8.40
Funders
- Banco Santander
- Ministerio de Ciencia, Innovación y Universidades
- National Natural Science Foundation of China
- China Scholarship Council
- Gobierno de Aragón
- European Regional Development Fund
- Agencia Estatal de Investigación