MICRO Chapter 9 Games and Strategic Behavior

Chapter 9: Games and Strategic Behavior

Basic Elements of a Game: Understanding the three core components that define any strategic interaction:
- Players: Individuals or entities who make decisions.
- Available Strategies: The choices each player can make in the game.
- Potential Payoffs: The outcomes associated with each combination of strategies selected by the players.
Prisoner's Dilemma: Identifying and explaining this critical game, which illustrates the conflict between individual and collective rationality. It is extensively applied in various fields, including economics, politics, and social sciences.
Timing in Games: Exploring how the timing of players' decisions can significantly affect the outcomes, emphasizing the strategic advantages of being the first or last mover.
Strategies for Commitment Problems: Discussing methods to overcome commitment challenges, which may include material incentives (e.g., contracts) and psychological incentives (e.g., reputation).

Factors Influencing Payoffs: Understanding that payoffs are dynamic and come from multiple sources:
- The actions taken by the players, which can lead to different outcomes.
- The strategic timing of these actions, as some moves may be more impactful based on when they occur.
- The strategies employed by other players, showcasing interdependence in decision-making.

Basic Elements of a Game:
- Players: Identifying who is participating in the game.
- Strategies: Outlining the choices available to players.
- Payoffs: Defining the rewards received for different combinations of strategies.
Dominant vs. Dominated Strategies:
- A dominant strategy is one that yields a higher payoff regardless of the opponent’s actions. Players should choose this strategy to maximize their outcomes.
- A dominated strategy is suboptimal and may lead to worse payoffs no matter what other players do.

Players and Strategies:
- Companies: The key players in this case are United and American Airlines, competing on the Chicago to St. Louis route.
- Strategies: Each company can either decide to increase its advertising expenditure by $1,000 or maintain its current spending levels.
Payoff Matrix: A structured table representing the outcomes for each strategy combination, clarifying how the payoffs change based on the decisions made by both players.
Payoff Matrix Analysis: It is critical to note that a symmetric payoff structure indicates that if both companies raise their advertising budgets, they may end up worse off compared to if they had maintained their spending levels due to competitive pressures.

Definition: A Nash Equilibrium is a state of a game where all players choose their optimal strategies simultaneously, and no player has anything to gain by changing their strategy unilaterally.
Existence: It is possible for a Nash Equilibrium to exist even when no dominant strategy is present, as players may lack incentives to deviate from their chosen strategies based on others' actions.

Explanation: This scenario exemplifies a situation where individual rationality leads to collective irrationality. Each player has a dominant strategy which, when followed, results in both players receiving a less desirable outcome than if they cooperated.
Scenario: Two prisoners must decide to either confess or remain silent:
- If both confess, they each face a sentence of 5 years.
- If one confesses while the other remains silent, the confessor is released while the silent partner receives 20 years.

Definition of a Cartel: A cartel is defined as a coalition of firms that undoubtedly restricts output to elevate profits.
Market Case Study: Examination of two bottled water suppliers who agree to maintain high prices yet face ongoing temptations to undercut each other's prices to gain market share.
Outcome: This competitive atmosphere can lead to price wars, subsequently driving prices down to marginal costs, which erodes expected profits for all members of the cartel.

Concept: In repeated iterations of the prisoner's dilemma, players can foster cooperation over time. The Tit-for-Tat strategy, where a player mirrors the previous action of their opponent, is one documented approach that promotes collaborative outcomes.
Limitation: This cooperation form becomes complicated when more than two players are involved, complicating strategy interactions and leading to challenges in establishing trust and commitment.

Case Study: An examination of the Congressional ban on cigarette advertisements on television, resulting in decreased advertising expenditures while simultaneously optimizing market outcomes for public health.

Influence of Timing: The sequence in which players act can drastically affect the end results. Decision trees serve as useful tools for visualizing the range of options and associated outcomes, helping players make informed choices based on timing.

Commitment Challenges: The lack of credible promises or threats creates barriers to effective strategic interactions. Examples include the code of conduct established in the criminal underworld, where trust is critical, and how tipping systems in restaurants can influence customer service dynamics.

Game Outcomes: While players generally pursue the maximization of payoffs, psychological incentives, such as trust and rapport, can significantly enhance overall results.

Impact of Trust: Insight into how possessing perfect information about a player's character can diminish the costs linked to dishonesty.
Inefficiency of Character Assessment: Issues such as hiring biases and societal victimization persists due to imperfect information regarding individuals' characters, leading to inefficiencies in decision-making processes.