Building a board game, not sure what to use for the "computer"
For a prototype you could probably do this using an Arduino and an LCD screen. When you move to production you'll probably want to get rid of the Arduino board and just use the Atmel microcontroller that is at the heart of the Arduino board. The Arduino can be programmed using standard libraries through a simple IDE (Integrated Development Environment) and when you're ready for production you simply pop the chip out of the Arduino board and plug it in to a custom PCB. Using the standard Arduino libraries could make this very easy.