Category: Science

Summary: Testing whether power-law variation in agents' update rates creates an intermediate regime that promotes cooperation in a spatial prisoner's dilemma.

Spatial cooperation can be shaped by who interacts with whom, but timing heterogeneity may matter even when the network itself stays regular. This experiment asks whether drawing agents' strategy-update frequencies from a power-law distribution creates a nontrivial cooperation transition, with intermediate heterogeneity outperforming both homogeneous updating and extremely unequal updating.

The model runs many GPU-parallel spatial prisoner's dilemma games on two-dimensional lattices while varying the temptation to defect and the power-law exponent controlling update-rate heterogeneity. It then estimates how the critical temptation for cooperation changes with that exponent.

The value of the study is that it isolates temporal heterogeneity from structural heterogeneity. If cooperation is maximized at intermediate update-rate variation, that would show that timing alone can reshape collective outcomes on an otherwise regular lattice.

Method: GPU-batched spatial prisoner's dilemma simulations on 2D lattices, sweeping temptation and power-law update-rate heterogeneity exponent alpha.

What is measured: Critical temptation threshold, cooperation level, dependence on heterogeneity exponent, and comparison with homogeneous and strongly heterogeneous updates.