Asymmetric Outcomes in Two-Actor Conflict Dynamics: Stability, Bifurcations, and Emergent Behaviors
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| Format: | Preprint |
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2025
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| _version_ | 1866909879433691136 |
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| author | Jacobo-Villegas, Eduardo Nava-Sedeño, Josué Manik Obregón-Quintana, Bibiana |
| author_facet | Jacobo-Villegas, Eduardo Nava-Sedeño, Josué Manik Obregón-Quintana, Bibiana |
| contents | In this paper we present an analytical and numerical study of a generalized model
of two-actor cooperative-competitive conflict of the Continuous Opinions and
Discrete Actions (CODA) type. Theoretically, we note that the in troduction of a new parameter allows generalizing feedback as strong and weak.
Furthermore, we show that for positive-positive and negative-negative feedback there
exists a supercritical pitchfork bifurcation, and that the model does not admit limit
cycles in any case, and we study the effect of different parameter values and initial
conditions by using a difference equation approximation of the model. Additionally,
our model offers important insight on social phenomena such as false levels of support
among cooperators, often observed in agreement negotiations; instances of ``non-strict
consensus'' when two people support the same political position, albeit with different
intensities; and competitive situations, such as in competitions with disproportionate
profit and losses. Thus, this generalized model offers an enhanced descriptive power
compared to previously proposed models. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_17993 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Asymmetric Outcomes in Two-Actor Conflict Dynamics: Stability, Bifurcations, and Emergent Behaviors Jacobo-Villegas, Eduardo Nava-Sedeño, Josué Manik Obregón-Quintana, Bibiana Physics and Society In this paper we present an analytical and numerical study of a generalized model of two-actor cooperative-competitive conflict of the Continuous Opinions and Discrete Actions (CODA) type. Theoretically, we note that the in troduction of a new parameter allows generalizing feedback as strong and weak. Furthermore, we show that for positive-positive and negative-negative feedback there exists a supercritical pitchfork bifurcation, and that the model does not admit limit cycles in any case, and we study the effect of different parameter values and initial conditions by using a difference equation approximation of the model. Additionally, our model offers important insight on social phenomena such as false levels of support among cooperators, often observed in agreement negotiations; instances of ``non-strict consensus'' when two people support the same political position, albeit with different intensities; and competitive situations, such as in competitions with disproportionate profit and losses. Thus, this generalized model offers an enhanced descriptive power compared to previously proposed models. |
| title | Asymmetric Outcomes in Two-Actor Conflict Dynamics: Stability, Bifurcations, and Emergent Behaviors |
| topic | Physics and Society |
| url | https://arxiv.org/abs/2510.17993 |