WASHINGTON  When Republicans take President Obama up on his invitation to hash out their differences over health care this month, they will carry with them a fairly well-developed set of ideas intended to make health insurance more widely available and affordable, by emphasizing tax incentives and state innovations, with no new federal mandates and only a modest expansion of the federal safety net.

It is not clear that Republicans and the White House are willing to negotiate seriously with each other, and Mr. Obama has rejected Republican demands that he start from scratch in developing health care legislation.

But Congressional Republicans have laid out principles and alternatives that provide a road map to what a Republican health care bill would look like if they had the power to decide the outcome.

The different approaches will be on display Feb. 25, when lawmakers from both parties are scheduled to go to Blair House, across the street from the White House, for a televised clash of health policy ideas.