We examine the fairness and intensity of sequential round-robin tournaments with multiple prizes. With three symmetric players and two prizes, the tournament is completely fair if and only if the second prize is valued half of the first prize, regardless of whether matches are organized as...

We extend Kuhn's Theorem to extensive games with unawareness. This extension is not entirely obvious: First, extensive games with non-trivial unawareness involve a forest of partially ordered game trees rather than just one game tree. An information set at a history in one tree may consist of...

This paper studies adaptive learning in extensive form games and provides conditions for convergence points of adaptive learning to be sequential equilibria. Precisely, we present a set of conditions on learning sequences such that an assessment is a sequential equilibrium if and only if there...

An infinite-horizon perfect-information "centipede" game is studied. The unique subgame-perfect Nash equilibrium (SPNE) in pure strategies has each player choose, at each opportunity, to terminate the game. In contrast, mixed strategies can yield equilibrium cooperation described as follows: for...

Forward induction, as defined by Govindan and Wilson (2009), places a local dominance condition on off-equilibrium path beliefs restricting relevant strategies for an equilibrium outcome to be infinitely more likely than irrelevant ones. Meanwhile, it places no global dominance restrictions and...

We consider extensive-form games in which players have the option to commit to actions before the game is played. We focus on commitment procedures where players make voluntary irreversible commitments in a prescribed order over the decision nodes. We study whether such commitment procedures may...

This paper provides a self-contained definition and a characterization of the class of extensive-form games that are adequate for applications, but still do not employ any finiteness assumptions. In spite of its simplicity, the resulting definition is more general than the classical ones....

This is a survey and discussion of work covering both formal game theory and experimental gaming prior to 1991. It is a useful preliminary introduction to the considerable change and emphasis which has taken place since that time where dynamics, learning, and local optimization have challenged...