Optimal Stochastic Evasive Maneuvers Using the Schrodinger's Equation

TL;DR

This paper models prey evasion strategies as stochastic processes governed by the Schrödinger's equation, balancing unpredictability and energy efficiency to optimize evasive maneuvers.

Contribution

It introduces a novel approach linking stochastic evasion policies to the stationary Schrödinger's equation for optimal maneuver planning.

Findings

Derives the optimal probability density functions for prey actions.

Shows the connection between stochastic evasion and quantum mechanics.

Provides a framework for designing energy-efficient evasive strategies.

Abstract

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.