President Barack Obama on Wednesday rejected a nascent Republican plan that would have extended the bitter fight over the fiscal cliff into next year, closer to the deadline when the statutory borrowing limit must be passed. A report in the New York Times said this fallback position was gaining favor among Republican leaders. It would allow them to gain more leverage knowing that an increase in the debt ceiling must be passed. But, in blunt terms, Obama said that he would not negotiate a budget deal with the threat of the debt limit hanging over his head. “That is a bad strategy for America…and it is not a game I will play,” Obama said.