General Directional Mapping (GDM) for Equilibrium and Game Theory: Heterogeneous Adjustment and Stabilization

Agents differ in how they perceive and scale their own moves: units of account, perceived adjust-ment costs, and the scaling of the signals they react to. This paper represents such heterogeneityby a general directional mapping (GDM), one for each agent, and asks two questions: does het-erogeneity change where a strategic economy settles, and does it change whether it settles? Twopropositions answer both. The equilibrium is the same for every choice of perception scales.And if each agent’s own payoff curvature dominates strategic spillovers, adjustment toward equi-librium converges for every choice of scales, with the guaranteed speed set by the most extremescale in the economy. A Cournot illustration shows that scales change the speed of recoverybut not its destination. The results are offered as a stylized building block for microeconomicfoundations of stabilization, not as a macroeconomic model.