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Competition in health insurance markets can offer several benefits to consumers. However, in many countries, including Chile, governments regulate these markets to address equity concerns. In 2020, in response to public demands for gender equality in healthcare, the Chilean government prohibited gender-based pricing and standardized risk age-groups for new private health contracts, therefore imposing restrictions on insurers' premium-setting practices. This work in progress examines the supply-side response to this regulation using a regression discontinuity in time design and monthly administrative data of the universe of private health plans in Chile from 2017 to 2022. The analysis reveals a shift in market equilibrium consistent with the self-selection mechanism outlined in the Rothschild-Stiglitz model (1976): on average, premiums increased, and inpatient coverage decreased. In addition, I explore the response in fixed copayments, annual cap, and healthcare network. I observe a rise in the integration of healthcare service provision, likely aimed at reducing medical costs, as discussed in Arrow (1963). Overall, the new pool of health plans demonstrates lower quality, reinforcing the notion that insurers adapt by differentiating contracts to induce individuals to make decisions that reveal their individual risk. These findings highlight the importance of supply-side dynamics in the implementation of public policies in health insurance markets and their implications for insurance quality. Furthermore, they underscore the need for contract restrictions to mitigate the distortionary effects of insurers' strategies.