We present latent combinational game design -- an approach for generating
playable games that blend a given set of games in a desired combination using
deep generative latent variable models. We use Gaussian Mixture Variational
Autoencoders (GMVAEs) which model the VAE latent space via a mixture of
Gaussian components. Through supervised training, each component encodes levels
from one game and lets us define blended games as linear combinations of these
components. This enables generating new games that blend the input games and
controlling the relative proportions of each game in the blend. We also extend
prior blending work using conditional VAEs and compare against the GMVAE and
additionally introduce a hybrid conditional GMVAE (CGMVAE) architecture which
lets us generate whole blended levels and layouts. Results show that the above
approaches can generate playable games that blend the input games in specified
combinations. We use both platformers and dungeon-based games to demonstrate
our results