# game: apropos of “tit-for-tat” approach, the evolution of lying in a spatially-explicit prisoner's dilemma model.

<< ️(AA) 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 ≤ P_(truth) ≤ 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) ≥ 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. >> 

Gregg Hartvigsen. The Evolution of Lying in a Spatially-Explicit Prisoner's Dilemma Model. arXiv: 2602.02587v1 [physics.soc-ph]. Jan 31, 2026.

https://arxiv.org/abs/2602.02587

Also: tit-for-tat, game, in https://www.inkgmr.net/kwrds.html 

Keywords: game, tit-for-tat, prisoner's dilemma, toroidal lattice, cooperating- defecting- strategies, truth-telling cooperators, lying defectors.