Three men with a penchant for gambling on the horses soon find themselves in trouble because of their addiction. Pierre (Michel Piccoli) is the math whiz who uses his talent for picking the winners. Charles (Michel Galabru) is the wealthy scrap-iron magnate who has embarrassing evidence on many prominent political figures. Loic (Jacques Dutronc) is the aspiring politico who seeks to further his career by any means possible. Charles approaches Loic and asks his political party for a loan in hopes of fixing an upcoming race....

When political thugs murder an opponent's volunteer and also kill a cop, chief inspector Verjeat believes the politician who hired them is as guilty as the murderous goon. Verjeat's pursuit of the councilman, Lardatte, gets him a warning from his superiors. When he embarrasses Lardatte while disarming a hostage (the dead volunteer's father), Verjeat is told he's being transferred within a week. He speeds up his hunt for the goon and, with Lefévre, one of his young detectives, he engineers a complicated scheme to buy more time before the transfer. How should Verjeat play out his values of honor and duty?