A gamer is a person who plays interactive games, especially video games, tabletop role-playing games, and skill-based card games, and who plays for usually long periods of time. Some gamers are competitive, meaning that they compete in some games for money. There are many different gamer communities around the world.
Game architecture, on the other hand, is how it is built. Within the software industry in general, the term design usually refers to what I call architecture in this book. Within the game development industry, however, Game Designers create the game design and Game Programmers create the game architecture.