Generate a Matching Pennies game:

Read the description of this game:

Find the classes the Matching Pennies game belongs to:

Visualize your own MatchingPennies:

Generate a Platonia Dilemma game of 4 players:

Show the dataset:

Generate the Pure Coordination game for 3 players:

Show the dataset:

A typical workflow when using GameTheoryData is as follows.

Consult the games available:

Learn more about a game:

Consult the source if you want to learn more about the origins of this game:

Generate a game based on these indications:

Show the results using either MatrixGamePlot or TreeGamePlot:

The Prisoner's Dilemma game is one of the most well-known games in game theory. It models a situation in which two players have an individual advantage in defecting, but the best global strategy is only possible when both players cooperate. Here is the description:

Generate the Prisoner's Dilemma game:

Visualize as a dataset:

The Nash equilibrium is when both players defect:

The Beer Quiche tree game is a sequential game where player A may potentially signal to player B their nature by player A's actions. Here is the description:

Generate the Beer-Quiche game:

Visualize as a tree:

Find the subgame perfect equilibrium:

The Optional Prisoner's Dilemma, as known as OPD game, is an three-actions extension of the Prisoner's Dilemma. The three actions are cooperate, defect and abstain. If either player abstains, the abstain payoff is given for all players:

Generate your own Optional Prisoner's Dilemma game:

Visualize as a dataset:

This game has an infinite number of Nash equilibria; here are some:

The Diner's Dilemma, also known as the Unscrupulous Diner's Dilemma, is the -player extension of the Prisoner's Dilemma. Here is a description:

Generate a Diner's Dilemma game with 3 players:

Visualize as a plot:

Determine the Nash equilibria of this game:

The Centipede tree game is an increasing betting game between two players. Here is the description:

Generate the Centipede game:

Visualize as a tree:

Find the subgame perfect equilibrium:

The Volunteer's Dilemma game models a situation in which each player can either make a small sacrifice that benefits everybody or instead wait in hope of benefiting from someone else's sacrifice. Here is a description:

Generate the Volunteer's Dilemma game with 4 players:

Visualize as a dataset:

Visualize as a plot:

Determine the Nash equilibria of this game:

The Pure Coordination game models a situation where two players have an equal payoff if they choose the same action. Here is a description:

Generate the Pure Coordination game with 2 players:

Visualize as a plot:

Find the Nash equilibria:

The 3 Coordination game is a variant of coordination games where the players are only rewarded when their preferred option is chosen by at least two players. Here is a description:

Generate a 3 Coordination game:

Visualize as a dataset:

An infinity of Nash equilibria may be found:

The Dangerous Coordination game is an asymmetric variant of coordination games, where one of the players has a significant disadvantage in the case of uncoordinated actions. Here is a description:

Generate the Dangerous Coordination game:

Visualize as a dataset:

Find the Nash equilibria:

The Bach or Stravinsky game, also known as the Battle of the Sexes game, is a famous coordination games. While coordinated action is rewarded, the highest payoff is given to coordination on a player's preferred action. Here is a description:

Generate the game:

Visualize as a dataset:

Find the Nash equilibria:

The Traveler's Dilemma game models two players' bids within a given range, and the payoff is the lowest bid with some bonus for the player who had the lowest bid. Here is a description:

Generate the Traveler's Dilemma game:

Visualize as a dataset:

Find the Nash equilibrium:

The Hawk-Dove game models a situation where two players desire the same resource. Here is a description:

Two shoppers want the last cookie box. They both value (2) the cookie, but want to avoid having to fight for it (1). Generate the corresponding Hawk-Dove game:

Visualize as a dataset:

Find some of the Nash equilibria:

The Welfare game models an asymmetric game where one player has an interest in coordinated action, while the other has an interest in uncoordinated outcomes. Here is the description:

Generate the Welfare game:

Visualize as a dataset:

Find the Nash equilibria:

The Contribution game is a generalization of two-player games that have three equilibria: two asymmetric equilibria in pure strategies and one symmetric equilibrium in mixed strategy.

Generate a Contribution game:

Visualize as a plot:

Find some of the Nash equilibria:

Here is the description of the Discoordination game:

Generate the Discoordination game:

Visualize as a dataset:

Find the Nash equilibrium:

The Guess Two-Thirds Average game models a situation where the goal of all players is to guess the actions of all other players:

Generate a Guess Two-Thirds Average game:

Visualize as a plot:

Find the Nash equilibrium:

The Hero game is a variation of the Bach or Stravinsky game, where the uncoordinated cases are more advantageous than the coordinated cases:

Generate a Hero game:

Visualize as a dataset:

Find 5 Nash equilibria:

The Inspection game examines the problem of verifying or not the work of an employee and serves as a simple model to conceptualize it. Here is the description:

Generate the Inspection game:

Visualize as a dataset:

The Small Pig game, also known as the Rational Pigs game, models an asymmetric volunteer's game. Here is the description:

Generate a Small Pig game:

Visualize as a dataset:

Consider the description of the Rock Paper Scissors game:

Generate the Rock Paper Scissors game:

Consider the classes of this game:

Visualize as a dataset:

Find the Nash equilibrium:

Find the description of the Morra game:

Generate the Morra game:

Visualize as a dataset:

Find the description of the Matching Pennies game:

Generate a Matching Pennies game:

Visualize as a plot:

The Matching Pennies game also has a tree form:

Generate the tree Matching Pennies game:

Plot the game:

Find the description of the Chicken game:

Generate the Chicken game:

Visualize as a dataset:

Find the Nash equilibria:

Find the description of the Nash Poker game:

Generate the Nash Poker game:

Visualize by plotting:

Find the description of the Platonia Dilemma game:

Generate the Platonia Dilemma game:

Visualize as a dataset:

Find the description of the Shapley game:

Generate a Shapley game:

Visualize as a dataset:

Find the description of the Colonel Blotto game:

Generate the Colonel Blotto game:

Visualize as a dataset:

Find the description of the Battle of the Bismarck game:

Generate the Battle of the Bismarck game:

Visualize as a dataset:

This game also has a tree form:

Visualize as a tree:

The Revolution tree game is a sequential game often used to represent the political tension between a country and its colony. Here is the description:

Generate the Revolution game:

Plot the game:

Find the subgame perfect equilibrium:

The Escalation game is a sequential game where player A may potentially signal their nature by player A's actions. Here is the description:

Generate the Prisoner's Dilemma game:

Visualize as a tree:

Find the subgame perfect equilibrium:

Find the description of the Cournot Oligopoly game:

Generate the Cournot Oligopoly game:

Visualize as a dataset:

Find the description of the Linear Cournot Oligopoly game:

Generate the Linear Cournot Oligopoly game:

Visualize as a dataset:

Find the description of the Bertrand Oligopoly game:

Generate the Bertrand Oligopoly game:

Visualize as a dataset:

Find the description of the Buying Stock game:

Generate the Buying Stock game:

Visualize as a dataset:

Find the description of the Compound game:

Generate a Compound game similar to a Prisoner's Dilemma game:

This is similar to the Prisoner's Dilemma game:

Find the description of the Exponential game:

Generate the Exponential game:

Visualize as a dataset:

Find the description of the Simple Inspection game:

Generate the Simple Inspection game:

Visualize as a plot:

Find the description of the Greedy game:

Generate the Greedy game:

Visualize as a dataset:

Find the description of the Random game:

Generate the Random game:

Visualize as a dataset:

Find the description of the Zero Sum Random game:

Generate the Zero Sum Random game:

Visualize as a dataset:

Find the description of the Multivariate Random game:

Generate the Multivariate Random game:

Visualize as a dataset: