Database

Designing and analyzing auction mechanisms including first-price, second-price, and Vickrey auctions, with guidance on optimal bidding strategies, revenue equivalence, and avoiding the winner's curse

Applying Nash bargaining solution, Rubinstein alternating-offers model, BATNA analysis, zone of possible agreement identification, and strategic negotiation frameworks grounded in game-theoretic principles

Analyzing games of incomplete information using Bayesian Nash equilibrium, belief updating, type spaces, signaling games, and screening mechanisms

Analyzing deterministic perfect-information games using Sprague-Grundy theory, Nim values, partisan game decomposition, and surreal number arithmetic for evaluating complex game positions

Applying expected utility theory, prospect theory, risk aversion analysis, and decision tree methodology to make rigorous choices under uncertainty and evaluate probabilistic outcomes

Analyzing evolutionary stable strategies, replicator dynamics, hawk-dove games, and population-level strategic interactions where fitness-based selection replaces rational deliberation

Designing incentive-compatible mechanisms using the revelation principle, implementing social choice functions, and engineering markets and institutions that align individual incentives with desired collective outcomes

Finding and understanding Nash equilibria in strategic games, including pure and mixed strategy analysis, best response computation, and equilibrium selection in multi-player settings

Analyzing cooperation versus defection dynamics in one-shot and iterated Prisoner's Dilemma games, including tit-for-tat strategies, reputation effects, and mechanisms for sustaining cooperation

Analyzing voting systems using Arrow's impossibility theorem, Condorcet criteria, ranked choice methods, strategic voting analysis, and social choice theory for institutional design