Game Theory


Summary

In the video, the speaker introduces Game Theory as the analysis of situations where outcomes depend on the actions of others, using examples like Apple and Google. The concept is taught practically at Yale through games like the sponge-throwing game. The speaker covers strategic decision-making, biases like overconfidence, and understanding opponents' skill curves in games. Additionally, topics like risk aversion, existence levels, and the intersection of science and humanities are discussed in relation to mathematical economics.


Introduction to Game Theory

The speaker, Ben Polak, introduces himself as a professor of economics at Yale who teaches Game Theory. He discusses the concept of Game Theory as the analysis of situations where outcomes depend not just on individual actions but also on the actions of others. He gives an example of two competing firms like Apple and Google to explain the concept.

Game Theory Analysis in Class

Polak explains that at Yale, Game Theory is taught by playing games in class to help students learn through practical application. He mentions the technique of teaching games in class has spread worldwide. Students analyze and learn from games like the sponge-throwing game demonstrated in the lecture.

Sponge-Throwing Game Demonstration

The speaker engages the audience in a sponge-throwing game demonstration involving picking volunteers, wetting sponges, and simulating a playful competition. The game involves strategic decision-making on when to throw the sponge to hit the opponent.

Analysis of Game Strategies

Polak delves into the analysis of game strategies and decision-making processes in scenarios like the sponge-throwing game. He explains the concept of preemption, understanding probabilities, and using backward induction to determine the optimal time to make a move in a game.

Overconfidence and Behavioral Biases

The speaker discusses the concept of overconfidence bias and how it affects decision-making in games and real-life situations. He explains how individuals tend to overestimate their abilities and make irrational decisions based on biases like overconfidence and proactive behavior.

Skill Curve Strategy

Discussion on skill curve strategy in game theory and the importance of understanding opponents' skill curves.

Game Theory and Incentives

Exploration of game theory, incentives, and the relationship with the grad school dean.

Challenges with Opponents' Skill Curves

Challenges and complexities in considering opponents' skill curves in a game.

Mathematical Complexity

Explanation of the increased mathematical complexity when considering multiple skill curves and probabilities in a game.

Risk Aversion in Games

Discussion on risk aversion and its impact when there are three outcomes in a game.

Levels of Existence

Exploration of the concept of existence levels and fragility in social sciences and economics.

Teasing Out Social Sciences

Efforts in mathematical economics to tease out insights and predictions in social sciences.

Experimental Thought Process

Utilizing thought experiments to explore changing assumptions and outcomes in theoretical economics.

Interdisciplinary Discussions

Encouragement for constructive discussions between scientists and humanists in exploring different perspectives.

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