Provided are a computer device, recording medium, and control method capable of executing a game in which a greater number of users can obtain a sense of accomplishment from defeating an enemy character in a battle in which a plurality of users participate in the defeat of the enemy character. A server device (2) is provided with: a communication unit (2a); an enemy strength value management unit (2b); a battle request receiver (2c); an enemy strength value determination unit (2d); a first mode execution unit (2e); a first enemy strength value transmitter (2f); an enemy strength value updater (2g); and a second mode execution unit (2h). The server device functions in the second mode as a second enemy strength value transmitter (2i) for transmitting a prescribed strength value to the game device, and as an enemy strength value update limitation unit (2j) for limiting the update of a character strength value that is based on a damage value received from the game device.