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Unraveling patterns of animals' movements is important for understanding thefundamental basics of biogeography, tracking range shifts resulting fromclimate change, predicting and preventing biological invansions. Manyresearchers have modeled animals' dispersal studying their behavior under theassumptions of some movement strategies pre-determined or affected by someexternal factor(s) but none of them have compared the efficiency of differentdispersal strategies in providing population survival and fitness. Wehypothesize that 1) successful expansion could result from some evolutionarystable strategy (ESS) and 2) such strategy could be based particularly ondeferred gain, when animals invest in travel to reach some high-quality habitat("habitat of dream"). Using simulation model we compare the ecological successof three strategies: i) "Smart" - choosing the locally optimal cell; ii)"Random" - random movement between cells without taking into account thequality of the environment; iii) "Dreamer" - movements that aims to find "ahabitat of dream" with quality much higher than that of the initial andneighboring cells. The population fitness was measured as survival rate,dispersal distance, accumulated energy and quality of settled habitat. The mostgeneral conclusion is that while survival and wealth of the population isaffected presumably by overall habitat quality, the dispersal depends mainly onthe behavioral strategy. The "Dreamer" strategy or the strategy of deferredgain belongs to the Pareto frontier in the Fitness$\times$Dispersal space butonly in optimal and suboptimal habitat and in the relatively mild climate.

"Perchance to dream?": Assessing effect of dispersal strategies on the fitness of expanding populations