Abstract: This paper examines the impact of two-sided market interactions on social mobility and growth. To analyze the dynamic effects of two-sided matching, a heterogeneous population of agents is simulated with the match process acting as a fitness selection mechanism. Even with perfect information and substantial variety in both offspring and entrants, two-sided matching causes the population to evolve into stratified groups. Corrective measures are possible to improve mobility, but by altering the path of market evolution, a policy may have unintended negative impacts on growth, inequality, and welfare.