PRIVATE HEALTH INSURANCE SYSTEMS, CONSTITUTION AND THE RIGHT TO RECEIVE AN EQUITABLE HEALTH CARE. This paper analyzes the constitutional problems that the private health system has faced as a result of the recent decisions of the Constitutional Court and the Supreme Court of Chile in defense of the right to health care and nondiscrimination. It also reviews the comparative literature on health systems that have been successful in the task of reconciling the demands of equity and efficiency in the delivery of health care in the private health sector, in accordance with the constitutional principles of equality and nondiscrimination.