  In this paper, preys with stochastic evasion policies are considered. The
stochasticity adds unpredictable changes to the prey's path for avoiding
predator's attacks. The prey's cost function is composed of two terms balancing
the unpredictability factor (by using stochasticity to make the task of
forecasting its future positions by the predator difficult) and energy
consumption (the least amount of energy required for performing a maneuver).
The optimal probability density functions of the actions of the prey for
trading-off unpredictability and energy consumption is shown to be
characterized by the stationary Schrodinger's equation.
