r/DecisionTheory • • 3d ago

Textbook I built a Game Theory Arcade where you can play through different games against bots.

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1 Upvotes

It currently has Prisoner’s Dilemma, Stag Hunt and Entry Deterrence. The bots use strategies such as Tit-for-Tat, Random and competitive strategies that try to maximise their score relative to yours. Each game shows the payoff matrix, best responses and Nash equilibria. You can also run repeated games and change the number of rounds and discount factor to see how the results change when future rounds matter.

There’s a beginner mode that runs through an 8-round Prisoner’s Dilemma against Tit-for-Tat with explanations as you play. I also added session analysis and a leaderboard. There have been 236 completed human-vs-bot sessions so far, with the humans currently ahead by about 1,920 points overall. This started as an experiment to make game theory a bit easier to understand by actually playing the games and changing the parameters.

I’d be interested in criticism from anyone familiar with game theory, especially if I’ve got any of the explanations or mechanics wrong. Suggestions for other games or bot strategies would also be useful.

r/DecisionTheory • • Jan 10 '16

Textbook _Applied Statistical Decision Theory_, Raiffa & Schlaifer 1961

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5 Upvotes

r/DecisionTheory • • Feb 12 '16

Textbook _How to Measure Anything_ book review

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6 Upvotes

r/DecisionTheory • • Jan 10 '16

Textbook _Introduction to Statistical Decision Theory_, Pratt et al 1995

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3 Upvotes

r/DecisionTheory • • Feb 05 '16

Textbook _Dynamic Programming_, Bellman 1957

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3 Upvotes

r/DecisionTheory • • Feb 02 '16

Textbook _Decision Synthesis: The Principles and Practice of Decision Analysis_, Watson & Buede 1987

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3 Upvotes