1) Is it possible to see the actual code that was used to create a tree diagram that was defined in the Function GameTheoryData[]? I realize you can display the tree structure by using (for example):

game = GameTheoryData["OptionalPrisonersDilemma"]["TreeGame"]
TreeGamePlot[game]

But how can I actually see the code behind the plot?

2) Are there any "Nature" tree games included in the Function GameTheoryData[] and if so, how would you identify them?

Thanks,
Mitch Sandlin

Using PlotLegends, I cannot seem to specify the text for the legend in the evolutionaryDynamicalSystemPlot function for the HawkDove Game in the last lesson.

Does the Legend need to be included in the formalization of the general function evolutionaryDynamicalSystemPlot before it can be formatted in the plot of a specific evolutionary game (example)?

If so, what is the appropriate Wolfram Language for that?

Thank you,

Steve Anderson

I'm happy to announce that the new course has been released and is freely available in the Wolfram U catalog: Introduction to Game Theory

Thanks to everyone for their contributions during this development cycle. Sign in using your Wolfram ID (or create one to get started), and receive access to all the video lessons, quizzes, a sample exam, the final exam and certifications. The interactive course includes a progress tracker where you can monitor your progress toward a completion certificate. Take the final exam to earn a Level 1 certification for proficiency in game theory. Enjoy!

The Wolfram U framework for this course will soon be available! Thank you for your patience.

I did not receive the email yesterday or today with the session recording. Are they available somewhere?

Hi;

How would you set-up a matrix for the Rock,Paper,Scissors game?

Thanks,

Mitch Sandlin

Hi Marc;

This matrix works great; however, it looks like a vector if you view it in //MatrixForm, which was unexpected. Additionally, if you enclose each number of the matrix in another set of {} and view it using //MatrixForm, it looks the same. The matrix for the game works fine, I just didn't expect it to look like a vector and cannot understand why it looks like a vector.

Thanks,

Mitch Sandlin

Hello Georgios Tsolakis,

As mentioned in the study group, the certification is based on passing the quizzes and final exam. Thus, when the course is available on Wolfram U, you'll be able to get your certification.

Best,

Marc Vicuna

I can see the actions with game["Dataset"]:

Hi Mitchell,

As explained in the class, this was a design decision, as both representations emphasize different aspects of matrix games. However, to alleviate this issue, tooltips reveal both players and actions on both representations.
Worst case, if you need matrix games as a PNG, you could always legend the dataset fairly quickly, keeping in mind it would cease to be a Dataset.

Best,
Marc Vicuna

Hi Michael!

This was answered in class. Overall, zero-sum games have a few simple theorems, like the Minimax Theorem, the Equivalence of Nash Equilibria and Minimax Strategies, the Interchangeability of Equilibria, the Linear Programming Duality Formulation, the Saddle Point Characterization, the Zero Duality Gap (Strong Duality Interpretation), etc. that make them very easy to analyze mathematically. However, another thing to keep in mind is that some games can be transformed into zero-sum games as long as the ordering of payoffs is maintained. As long as the ordering is the same, the number of equilibria is also the same.

Best,

Marc Vicuna