Mechanism Design & Equilibrium

Primes about designing and analyzing strategic systems for efficient outcomes: equilibrium concepts (Nash equilibrium, zero-sum game, strategic complementarity and substitutes), and the rules that govern allocation and incentives (mechanism design, auction theory, price mechanism, incentive compatibility, price of anarchy).

12 primes in this family — primes that sit near one another in abstraction space (k-means over structural-signature embeddings). Each is shown with its short description.

• Auction Theory — Auction behavior analysis.
• Concentration — Massing a divisible resource or effort at the decisive point rather than spreading it thin — the deliberate creation of local superiority by accepting weakness elsewhere.
• Game-Theoretic Strategy — Strategic interaction analysis.
• Incentive Compatibility — Align incentives.
• Mechanism Design — Rule engineering.
• Nash Equilibrium — A strategy profile in which no agent can improve its payoff by unilaterally changing strategy, given the others' choices — the fixed point of the joint best-response correspondence.
• Price Mechanism — Supply-demand pricing.
• Price of Anarchy — The worst-case ratio between the aggregate cost of selfish equilibrium play and the cost under centralized optimal coordination.
• Resource Management — Allocation of finite assets.
• Strategic Complementarity — One actor's action raises the marginal benefit of others taking the same action.
• Strategic Substitute — One actor's action lowers the marginal benefit of others taking the same action.
• Zero Sum Game — The total payoff across participants is fixed, so one party's gain is necessarily another's equal loss and the only strategic question is distribution.