While I don't know any digital equivalent of that particular game or neither I was introduced to RL this way either. But, still there are other games and videos that might help you to teach your students RL. Some of them were actually very useful when I was a beginner.
- EVOLUTION (By Keiwan Donyagard)
It's a downloadable Android App based Game where the players create creatures with bones (represented with Black Stick), joints (represented with Red circle/spot) and Muscles (red , connecting the bones). The organisms starts hundreds of thread and learns to walk bit by bit and after each iteration by iteration, they become perfect learners after few minutes.
Link : https://play.google.com/store/apps/details?id=com.keiwando.Evolution&hl=en_US&gl=US
Flappy Bird Video (Uses a bit of Deep Learning Methods, an example of Deep RL)
Google's DeepMind Playing Atari
There are some experiments where AI did outsmart their creators and performed unexpectedly well too.
Here are some videos:
https://www.youtube.com/watch?v=GdTBqBnqhaQ (By Two Minute Papers)
OpenAI Hide and Seek which actually breaks the game (https://www.youtube.com/watch?v=kopoLzvh5jY)
Motivation: Reinforcement Learning and Deep Reinforcement Learning is an important field of study in AI because it is a general way to Build an AGI and ASI. (AGIs called Artificial General Intelligence and ASIs are called Artificial Super Intelligence.) The core development and framework of such systems have already been put in form of AIXI and AIXI-tl and they would definitely change the way whole humanity looks at it. Some of the notable researchers claim that Artificial Super Intelligence would be the last ever the biggest invention of Humanity and the most terrifying thing is that we still don't have a proper framework and ethical standards set for use of such super intelligent systems (Superintelligence: Paths, Dangers, Strategies, Nick Bostrom.). While some theoretical paper do have measures of frameworks on dangers of such systems (https://arxiv.org/abs/1607.00913), but we still are far from specific idea about the matter. This is primarily because of lack of researchers here in this particular field. We hope more and more people join and contribute to the emergence, control and setup of ethical standards of such super intelligent Systems.