The Evolution of Lying in a Spatially-Explicit Prisoner's Dilemma Model
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arXiv
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866912870717980672 |
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| author | Hartvigsen, Gregg |
| author_facet | Hartvigsen, Gregg |
| contents | I present the results from a spatial model of the prisoner's dilemma, played on a toroidal lattice. Each individual has a default strategy of either cooperating ($C$) or defecting ($D$). Two strategies were tested, including ``tit-for-tat'' (TFT), in which individuals play their opponent's last play, or simply playing their default play. Each individual also has a probability of telling the truth ($0 \leq P_{truth} \leq 1$) about their last play. This parameter, which can evolve over time, allows individuals to be, for instance, a defector but present as a cooperator regarding their last play. This leads to interesting dynamics where mixed populations of defectors and cooperators with $P_{truth} \geq 0.75$ move toward populations of truth-telling cooperators. Likewise, mixed populations with $P_{truth} < 0.7$ become populations of lying defectors. Both such populations are stable because they each have higher average scores than populations with intermediate values of $P_{truth}$. Applications of this model are discussed with regards to both humans and animals. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_02587 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The Evolution of Lying in a Spatially-Explicit Prisoner's Dilemma Model Hartvigsen, Gregg Physics and Society Statistical Mechanics Computer Science and Game Theory Populations and Evolution I present the results from a spatial model of the prisoner's dilemma, played on a toroidal lattice. Each individual has a default strategy of either cooperating ($C$) or defecting ($D$). Two strategies were tested, including ``tit-for-tat'' (TFT), in which individuals play their opponent's last play, or simply playing their default play. Each individual also has a probability of telling the truth ($0 \leq P_{truth} \leq 1$) about their last play. This parameter, which can evolve over time, allows individuals to be, for instance, a defector but present as a cooperator regarding their last play. This leads to interesting dynamics where mixed populations of defectors and cooperators with $P_{truth} \geq 0.75$ move toward populations of truth-telling cooperators. Likewise, mixed populations with $P_{truth} < 0.7$ become populations of lying defectors. Both such populations are stable because they each have higher average scores than populations with intermediate values of $P_{truth}$. Applications of this model are discussed with regards to both humans and animals. |
| title | The Evolution of Lying in a Spatially-Explicit Prisoner's Dilemma Model |
| topic | Physics and Society Statistical Mechanics Computer Science and Game Theory Populations and Evolution |
| url | https://arxiv.org/abs/2602.02587 |