Game Theory Arena
Learn strategy through play
0 / 200 XP
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Badges
01 Choose Your Guide
Each character teaches game theory from their unique strategic perspective
Nash
ANALYTICALArctic Fox · The Equilibrium Seeker
“Every interaction is a game. Let me show you the equilibrium.”
02 Trophy Case
Earn badges by completing missions and mastering game theory
First Steps
First Victory
Getting Serious
Hat Trick
Completionist
XP Hunter
XP Legend
Flawless
03 Select Mission
Each mission teaches a game theory concept through interactive play
The Fox and the Owl's Dilemma
TUTORIALLearn the Prisoner's Dilemma — the most famous game in history
+100
XP
The Great Coffee Price War
BEGINNERSurvive a Bertrand price war against the Chameleon
+250
XP
David vs. The Bear
INTERMEDIATEEnter Cournot's market — choose your production strategy
+500
XP
The Alliance Gambit
EXPERTBuild or betray alliances with Diplomat the Dolphin
+750
XP
The Chaos Market
CHAOSSurvive a volatile multi-agent resource market
+1000
XP
The Free-Rider Problem
BEGINNERContribute to a public good — or let Nash the Fox pay the bill?
+200
XP
The Coordination Crisis
INTERMEDIATEPick the right standard with Nash — or get stuck on the wrong one
+400
XP
Bear's Market Expansion
BEGINNERCournot the Bear expands into your territory — fight or adapt?
+300
XP
The Capacity War
EXPERTBuild factories or hold back in a cutthroat capacity arms race
+650
XP
The Two-Faced Menu
INTERMEDIATEBertrand reveals the art of charging different prices to different buyers
+450
XP
The Patent Race
EXPERTStackelberg the Eagle files first — can you out-innovate the first mover?
+700
XP
The Commons Dilemma
INTERMEDIATEShare a finite resource with Pareto the Owl — who restrains themselves?
+450
XP
The Climate Summit
CHAOSNegotiate emission cuts with Pareto — the planet hangs in the balance
+900
XP
The Disruptor's Gambit
EXPERTVenture the Raccoon disrupts your industry — pivot or perish?
+700
XP
The Grand Trade Deal
CHAOSNegotiate tariffs, subsidies, and quotas with Diplomat the Dolphin
+950
XP
04 Learn the Concepts
Quick reference cards for key game theory ideas
Nash Equilibrium
A state where no player can improve their outcome by changing strategy alone.
Example: In the Prisoner's Dilemma, both defecting is a Nash Equilibrium — even though both cooperating would be better for everyone.
Taught by 🦊 Nash
Dominant Strategy
A strategy that's best regardless of what opponents do.
Example: If lowering your price always increases profit no matter what competitors do, that's a dominant strategy.
Taught by 🦎 Bertrand
Pareto Optimality
An outcome where nobody can be made better off without making someone worse off.
Example: Both cooperating in Prisoner's Dilemma is Pareto optimal — mutual defection wastes value.
Taught by 🦉 Pareto
First-Mover Advantage
The benefit of committing to a strategy before your opponents choose theirs.
Example: In Stackelberg competition, the leader produces more and earns higher profits because followers must react.
Taught by 🦅 Stackelberg
Price Competition
When firms compete by setting prices. With identical products, prices crash to cost.
Example: The Bertrand Paradox: just 2 identical firms competing on price produces the same result as perfect competition.
Taught by 🦎 Bertrand
Cooperation vs. Defection
The tension between collective benefit (cooperate) and individual gain (defect).
Example: Trade agreements work when all parties cooperate. But each has incentive to protect their own industries.
Taught by 🐬 Diplomat
Backward Induction
Solving a game by working backwards from the final move to determine optimal play at each stage.
Example: In chess, grandmasters think from checkmate backward. In business, plan your exit strategy first, then work backward to today's decisions.
Taught by 🦅 Stackelberg
Mixed Strategy
Randomizing between strategies to remain unpredictable when no pure strategy dominates.
Example: A soccer penalty kicker who always shoots left becomes predictable. Mixing left and right randomly keeps the goalie guessing.
Taught by 🦝 Venture
Repeated Games
When players interact multiple times, future consequences enable cooperation that one-shot games cannot sustain.
Example: OPEC members cooperate on oil production because the cartel meets repeatedly. A one-time deal would collapse instantly.
Taught by 🐬 Diplomat
Mechanism Design
Engineering the rules of a game to produce desired outcomes — 'reverse game theory.'
Example: Auction designers at Google and the FCC design bidding rules so that truthful bidding is each player's best strategy.
Taught by 🦉 Pareto
Auction Theory
How bidders strategize and how auction rules affect revenue, efficiency, and information revelation.
Example: eBay uses second-price auctions (you pay the second-highest bid) because it makes truthful bidding dominant.
Taught by 🐢 Sentinel
Information Asymmetry
When one player knows more than another, creating advantages for the informed and risks for the uninformed.
Example: Used car sellers know the car's true condition; buyers don't. This 'Market for Lemons' problem drives down prices for everyone.
Taught by 🐻 Cournot