Mathematical Model Shows How Voter Strategies Can Lock Communities Into Gridlock or Better Public Funding
Preprint uses evolutionary game theory and differential equations to model how four voting strategies shape public good funding, revealing gridlock versus consensus outcomes and regional free-rider dependencies.
A new preprint on arXiv (https://arxiv.org/abs/2603.24723) uses an evolutionary game theory framework to explore how voters in a two-party system decide on funding public goods that benefit both their own area and neighboring regions. The theoretical model, built entirely on systems of differential equations with no real-world data or sample size, tracks four voter types: Consensus-makers, Gridlockers, Party 1 Zealots, and Party 2 Zealots. Voters shift strategies by imitating neighbors and move toward places that offer higher utility based on social and economic factors. The authors report bistability, meaning local populations tend to settle into either a politically gridlocked low-funding state or a mix of consensus-makers and zealots that support better public goods. Because benefits spill over across borders, the model shows a free-rider effect where poorly funded areas become dependent on well-funded ones. As this is a preprint and not peer-reviewed, the findings are preliminary and rest on simplifying assumptions about imitation, migration, and utility functions.
HELIX: For ordinary people this suggests that where you live could quietly determine whether your community gets decent parks, schools or services, as voting patterns and neighbor effects create pockets of abundance that other areas end up relying on.
Sources (1)
- [1]Dynamics of voting strategies and public good funding(https://arxiv.org/abs/2603.24723)