Beauty in maths topic

Game Theory and Decisions

Game theory studies decisions when outcomes depend on what other people, systems or agents choose to do.

live pages

prototype tools

planned ideas

What this area includes

Payoff tables, best responses and Nash equilibrium

Cooperation, trust and repeated games

Voting systems and fairness

Auctions, incentives and strategic behaviour

Links to economics, ecology, AI and social systems

What changes when another decision-maker is also trying to optimise?

When is cooperation stable?

Can a voting system be fair in every reasonable sense?

These are the pages currently available to open from this topic.

Compare plurality, runoff, Borda count and head-to-head fairness using the same voter profile.

These ideas are not built yet, but they show where this topic could grow next.

ideaPlanned

Planned tool for payoff tables, best responses, dominant strategies and Nash equilibrium.

ideaPlanned

Planned simulator for cooperation, betrayal, repeated play and the emergence of trust.

ideaPlanned

Planned page about bids, value, information and how rules shape behaviour.

A portal for connected mathematical explorations: pattern, surprise, structure, nature and emergence.

Randomness, evidence, simulation, modelling, optimisation and machine learning ideas.

Truth, argument, proof, contradiction, paradox and the foundations of mathematical reasoning.

Optimisation, scheduling, routing, allocation and making good decisions under constraints.

This area is perfect for active exploration: predict the strategy, test it, then look for the rule that changes the outcome.