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Differential Games

All articles tagged with #differential games

Game Theory Conundrum Solved After 60 Years by Scientist
mathematics3 years ago

Game Theory Conundrum Solved After 60 Years by Scientist

Scientists have solved a nearly 60-year-old game theory conundrum in the field of differential games, which deals with players in motion. The wall pursuit game, which offers a relatively uncomplicated framework for a scenario where a swifter pursuer aims to capture a slower evader who is limited to moving along a wall, had a dilemma where it was thought that no game optimal solution existed. However, Dejan Milutinovic and his colleagues have proved in a new paper that this long-standing dilemma does not actually exist and introduced a new method of analysis that proves there is always a deterministic solution to the wall pursuit game. This discovery opens the door to resolving other similar challenges that exist within the field of differential games, and enables better reasoning about autonomous systems such as driverless vehicles.

Game theory dilemma solved after 60 years
science-and-technology3 years ago

Game theory dilemma solved after 60 years

Researchers have solved a nearly 60-year-old dilemma within game theory called the wall pursuit game, which is a model for a situation in which a faster pursuer has the goal to catch a slower evader who is confined to moving along a wall. The discovery opens the door to resolving other similar challenges that exist within the field of differential games, and enables better reasoning about autonomous systems such as driverless vehicles. The researchers used a new method of analysis that proves there is always a deterministic solution to the wall pursuit game, using a mathematical concept called the viscosity solution of the Hamilton–Jacobi–Isaacs equation.