In this study, a fundamental study on the game theory (Nash bargaining solution) based approach for giving a priority to anti-earthquake reinforcements of road structures is presented. When a road structure is reinforced at appropriate time, the gain of the road structure is maximized. Each road structure or rosd link is considered as a player, and the road network gain is maximized at the same time as pursuing the maximization of a road link gain by adapting Nash bargaining solution with proper utility function. Also, importance of each road structure is shown by using properly multiattribute utility function.