[Grokking Differential Game Theory S03E01] Control a Changing System

States, controls, feasible paths, and discounted payoffs form a single optimal control problem. A renewable resource example shows how this becomes one player’s decision problem inside a game. 00:00 A decision changes a whole future 01:13 The control chooses a velocity 02:40 Feasible motion stays inside the model 04:09 Rivals enter your law of motion 05:34 A rate is not a stock of payoff 07:00 Choose a path, compare complete outcomes 08:32 Two ways to account for the future This exposition video is based on Chapter 3, Section 3.1 of Differential Games in Economics and Management Science by Engelbert J. Dockner, Steffen Jørgensen, Ngo Van Long, and Gerhard Sorger.