Iliad

From BoardGameGeek:

From the publisher : The players will lead their Greek characters into a bold action of besieging Troy and rescuing the beautiful Helene. The first one to reach 12 points will be the winner. During the game, various stages will unfold and during these, the victory cards are put into play. As it happens, a player can make his own army stronger or weaken those of his opponents by playing the correct cards. After the siege, the strongest players will receive a victory card of their choice, all cards in play will be discarded, and a new phase will unfold with the cards remaining in each player's hand. Each player will then receive 3 new cards and the next battle round will commence.