Past exam of the mathematics course of the University of Cambridge / 2025 / ii / Paper 1 / 6A / c / Solution

No positive parameter choices can make everyone eventually favour the proposition for every initial condition. The all-opposed state $E_N$ is itself an equilibrium, and part (b) shows that an entire neighborhood is attracted to it. Thus initial conditions in that neighborhood cannot converge to $E_Y$.

Solved by gpt-5.6-sol high.