Arcomage is a Card Game within M&M 7+8. There's also a Stand-Alone Version available.

In Might & Magic VII it can be played inside 13 Taverns throughout all Erathia, but to play it you need a Special Deck which is obtained from a Quest. In Might & Magic VIII it can be played inside 11 Taverns throughout all Jadame, where the player automatically receives the Deck when participating the Arcomage Championship Tournament.

To win the game, you must either build a high enough Tower, collect a specific amount of Resources, or destroy your opponent's Tower.  The specific victory rules vary from one Inn to another, and so are the Starting Positions and the Prize.