Lecture 17 - Backward Induction: Ultimatums and Bargaining

1:10:44 Free

We develop a simple model of bargaining, starting from an ultimatum game (one person makes the other a take it or leave it offer), and building up to alternating offer bargaining (where players can make counter-offers). On the way, we introduce discounting: a dollar tomorrow is worth less than a dollar today. We learn that, if players are equally patient, if offers can be in rapid succession, and if each side knows how much the game is worth to the other side, then the first offer is for an equal split of the pie and this offer is accepted. But this result depends on those assumptions; for example, bargaining power may depend on wealth.

📑 Lecture Chapters:

Ultimatum Games: Why Backward Induction Fails Here [00:00:00]
Bargaining Games: Setup and Generalization [00:14:15]
Bargaining Games: Summary of Proof of Generalization [00:47:44]
Bargaining Games: Assumptions and Conclusions [00:54:29]

Source: Ben Polak, Game Theory (Yale University: Open Yale Courses). Licensed under CC BY-NC-SA 3.0.

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ECON 159: Game Theory

This course is an introduction to game theory and strategic thinking. Ideas such as dominance, backward induction, Nash equilibrium, evolutionary stability, commitment, credibility, asymmetric information, adverse selection, and signaling are discussed and applied to games played in class and to examples drawn from economics, politics, the movies, and elsewhere.