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[WSG76] Daily Study Group: Introduction to Game Theory

A Wolfram U Daily Study Group on game theory begins on Monday, March 30, 2026.

Join me and a group of fellow learners to learn about the basics of game theory. Our topics for the Study Group include:

  1. Simultaneous games
  2. Sequential games
  3. Repeated games

Make the right decision and learn the art of making decisions mathematically and rationally!

No prior Wolfram Language experience is required.

Please feel free to use this thread to collaborate and share ideas, materials and links to other resources with fellow learners!

Prisoner's Dilemma as a matrix game

March 30–April 3, 11am–noon CT (4–5pm GMT)

REGISTER HERE

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Feel free to share this post on social media using the hashtags #WolframU and #DailyStudyGroup.

POSTED BY: Marc Vicuna
17 Replies
Anonymous User
Anonymous User
Posted 2 days ago

Hello. After the last class on game theory, all the participants have received an email for the recording. That email said "We will share a link to the Introduction to Game Theory framework, including access to the quizzes and final exam, in an email when the new interactive course is released."

I believe that we have not received this link yet. Will we receive the link soon? Also, if we want to solve the quizzes and pass the final exam, will we have enough time to do them?

Thank you.

POSTED BY: Anonymous User

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

POSTED BY: Marc Vicuna
Posted 3 days ago

Good day! I understand that the framework for the course will be available soon, but I'd like to ask if this will be before 14 April 2026. This is because my Wolfram Mathematica student trial will be expiring by then. Thank you so much! :)

POSTED BY: E G

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

POSTED BY: Mark McBride

Hi, Mark! I forwarded the recordings to your email address, along with the additional information we shared during those sessions. You can also access them by clicking this link, which takes you to the series' landing page. Thank you for your participation in this Study Group!

POSTED BY: Roberto Martinez

Hi;

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

Thanks,

Mitch Sandlin

POSTED BY: Mitchell Sandlin

RockPaperScissors is a zero-sum simultaneous game. There are 3 outcomes: {1,-1} (the first player wins and the second loses), {0,0} (a tie) and {-1,1} (the first player loses, the second wins). Then, its a question of forming the matrix game. Consider the second player plays in order, rock, paper and scissors, consider the outcomes if player 1 chooses rock: {{0, 0}, {-1, 1}, {1, -1}}, paper: {{1, -1}, {0, 0}, {-1, 1}} and scissors: {{-1, 1}, {1, -1}, {0, 0}}. So your payoff array is {{{0, 0}, {-1, 1}, {1, -1}}, {{1, -1}, {0, 0}, {-1, 1}}, {{-1, 1}, {1, -1}, {0, 0}}}. Then, I would set up the GameActionLabels at {{"Rock","Paper","Scissors"},{"Rock","Paper","Scissors"}}, and the GamePlayerLabels, if we were to play together for example, as {"Mitchell","Marc"}.

So in total the call would be

MatrixGame[{{{0, 0}, {-1, 1}, {1, -1}}, {{1, -1}, {0, 0}, {-1, 1}}, {{-1, 1}, {1, -1}, {0, 0}}},
GameActionLabels -> {{"Rock", "Paper", "Scissors"}, {"Rock", "Paper", "Scissors"}}, 
GamePlayerLabels -> {"Mitchell", "Marc"}]

Best,
Marc Vicuna

POSTED BY: Marc Vicuna
POSTED BY: Mitchell Sandlin

I missed the study group session 4 due to I had another duty am I please still qualifying for the certificate ?

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

POSTED BY: Marc Vicuna

Hi;

Why am I not getting the actions listed in my MatrixGamePlot function - see attached notebook?

Thanks,

Mitch Sandlin

Attachments:
POSTED BY: Mitchell Sandlin

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

enter image description here

POSTED BY: Anton Antonov

Using "Dataset" displays the actions, but it is missing the players legend. What I am looking for is one graphic that shows all necessary information. If you are using the graphic to determine what action to take, you need the: players, actions, and payoffs to make the decision and shouldn't need to mentally combine several graphics to get the information.

Thanks,

Mitch Sandlin

POSTED BY: Mitchell Sandlin
POSTED BY: Marc Vicuna

Question on exercise 2 - cheating students.
Proposed solution has these payoffs:

payoffs = {{{{0, 0, 0}, {0, 0, 1}}, {{0, 1, 0}, {0, -1, -1}}}, {{{1, 
      0, 0}, {-1, 0, -1}}, {{-1, -1, 0}, {-1, -1, -1}}}};

However, since this is a zero-sum, they need to be normalized. Is there any benefit to doing so vs defining payoffs as zero-sum integers like below?

payoffs = {{{{0, 0, 0}, {-1, -1, 2}}, {{-1, 
      2, -1}, {2, -1, -1}}}, {{{2, -1, -1}, {-1, 2, -1}}, {{-1, -1, 
      2}, {0, 0, 0}}}};
POSTED BY: Michael Elizarov
POSTED BY: Marc Vicuna
POSTED BY: Devendra Kapadia
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