Games People Play: Thinking Strategically with Game Theory

Learn how interactive thinking and utility maximization define strategic games, distinguishing decision making in isolation from multiplayer conflicts and guiding choices.

Explore strategic games as interactive thinking where players anticipate others' moves, motivations, and knowledge, and use equilibrium to maximize utility and minimize costs.

Game theory provides a mathematical framework for decision making in interactive situations, guiding players to choose optimal strategies that maximize their utility.

Classify strategic games by six characteristics—sequential vs simultaneous, zero sum vs non zero sum, cooperative vs noncooperative, single vs repeated play, perfect and symmetric information, fixed vs changeable rules.

Compare sequential and simultaneous games and show how players think ahead or guess others' moves. Explore examples like chess, football, auctions, and smartphone launches to reveal distinct strategic approaches.

Compare zero-sum and non-zero-sum games, where one player's gain equals another's loss versus scenarios where cooperation yields win-win outcomes. The lecture highlights constant-sum cases, joint ventures, and lose-lose nuclear-strike examples.

Explores how information shapes strategic choices in games, from perfect and asymmetric to imperfect and simultaneous settings, with poker and dating as real-life signaling examples.

Explore how cooperation arises from shared goals and how enforceability shapes cooperative versus noncooperative games. Examine mechanisms such as ceasefires, sanctions, and long-term relationships to sustain agreements.

Compare one-shot and repeated games, showing how incentives differ with the same players over time: deception in one-shot deals and trust-building for long-term gains as asymmetry of information fades.

Explore how traditional games rely on fixed rules while real life interactions feature fluid rules, with a pre game shaping how much players bend them.

Describe the three-component framework of strategic games: players, strategies, and payoffs, while examining rationality assumptions that guide game-theoretic decisions.

Explore strategies as complete plans of action within games, separating skill from strategy, and use game theory to identify optimal strategies and maximize payoffs in sequential and simultaneous games.

Players choose from multiple strategies, and their choices produce outcomes. Payoffs assign numerical values to outcomes, capturing preferences in zero-sum and non-zero-sum games.

Examine the rationality assumption in game theory, including common knowledge of rules, payoff-based optimization, and equilibrium outcomes guiding optimal strategies.

Explain common knowledge in game theory by showing that all players know the rules, the strategies, and the payoffs, and know that others know them.

discover how equilibrium arises when rational players select best responses to others' strategies, and learn techniques to find equilibria across game categories.

Discover how sequential games are represented mathematically with game trees and how players anticipate future moves. Apply backward induction to solve game trees and identify equilibrium strategies through multiple examples.

Visualize sequential games with a game tree, showing decision points, branches, terminal nodes, and payoffs. The lemonade stand example demonstrates three outcomes and how the extensive form captures every move.

Analyze the three-stage sequential price game between two lemonade stands, using backward induction (rollback analysis) to identify the rollback equilibrium where both players continue, yielding equal payoffs.

Explore backward induction in sequential games through a smoking dilemma; compare a single-player decision tree with a two-player game, revealing rollback equilibrium and the impact of changing preferences on outcomes.

The lecture uses backward induction on a three-legislator voting game to derive payoffs, optimal strategies, and the equilibrium path when the bill passes.

Analyze a three-legislator voting game where bill passage yields positive utility for all, revealing first-mover and second-mover advantages and how payoffs shape strategies.

Explore how computers play chess through sequential game trees, using rollback analysis to evaluate payoffs per move. See how Deep Blue defeated Kasparov by combining look-ahead with intermediate payoff evaluation.

Analyze simultaneous games with imperfect information using payoff tables, distinguishing discrete and continuous, pure and mixed strategies, and solve for Nash equilibrium via dominance and best response analysis.

Build and interpret payoff tables for simultaneous two-player games, using strategies left and right, to understand payoffs, the strategic form, and the zero-sum mini max method.

Learn how to solve simultaneous games by identifying Nash equilibria, the optimal strategies where each player's choice is the best response to the other, illustrated with a payoff table.

Nash equilibria can be multiple, with each player's best response to the other, and rationality may favor equilibrium even when it doesn't maximize the joint payoff in simultaneous games.

Explore how Nash equilibrium analysis varies by game type, from discrete and continuous strategies to mixed strategies, and how repetition affects strategy choice.

Examine how to solve finite-strategy games using the dominance method, best response method, and de minimus approach, identifying dominant and dominated strategies, performing eliminations, and locating Nash equilibria.

The best response method exhaustively identifies each player's best replies to all strategies, revealing every Nash equilibrium and extending to continuous games.

Explore the minimax method for two-player zero-sum games, showing how maximin and minimax payoffs determine whether a Nash equilibrium exists when they coincide.

Explore how discounting in a duopoly reveals the impact of customer loyalty on game theory outcomes, highlighting dominant strategies and dominant equilibrium in the Amazon vs Flipkart context.

Analyze how price competition in a duopoly with non-loyal customers leads to a Nash equilibrium and no dominant strategy, highlighting fixed costs, losses, and the value of differentiation.

Explore how trust and honor shape criminal networks through a game-theory lens, illustrating the prisoner's dilemma and dominant strategies that drive cooperation or punishment.

Analyze winner-takes-all games in sports, exploring how overcrowded equilibria and equity-efficiency tradeoffs shape society's choice between sports and academics.