In this work, we study an extension to evolutionary game models with the possibility to model the change and influence of the environment fluctuations for the fitness of the players. Using spatial games, those changes can be taken into account as an additional lattice dimension. In classical spatial evolutionary games (SEGT) each position on the lattice is represented by a single player or single phenotype (strategy). The local payoff for this player arises from the interactions with the neighbouring cells. With the newer approach each cell represents heterogeneous subpopulation, so can be considered as mixed or multidimensional spatial games (MSEG). This allows performing the game on a multidimensional lattice where an additional dimension is representing the evolution of resources.