Single Payer refers to a health care system having only one payer, typically a socialistic big government Welfare state - Nanny state, of all health care expenses. That payer would rely on tax revenues and perhaps some insurance premiums to fund its reimbursements and costs.
Switzerland, which has mandatory health insurance, rejected a proposal to adopt a single payer system on March 11, 2007. 71% of voters opposed it. Switzerland currently has 87 different private health plans.
David Hogberg wrote:
- A single-payer health care system is one in which a single-entity -- the government -- collects almost all of the revenue for and pays almost all of the bills for the health care system. In most single-payer systems only a small percentage of health care expenses are paid for with private funds. Countries that have a single-payer system include Australia, Canada, Sweden and the United Kingdom. 
Single-payer is popular among the political left in the United States.