Game Theory

Game Theory. Strategic interaction: equilibria, mechanism design, and learning in games. The literature on game theory divides naturally along several axes: the foundational structures that organise the subject, the techniques that drive proofs and computations, the questions about classification or representation that animate current research, and the bridges to neighbouring areas of mathematics and science. The references below trace those axes through the canonical textbook treatments and recent technical contributions.

Foundations and canonical references

The standard treatments of game theory approach the subject from complementary angles. Osborne, A Course in Game Theory (1994) is the anchor reference for the subject and lays out the core definitions, theorems, and worked examples that practitioners return to. Fudenberg, Game Theory (1991) gives a parallel, more proof-oriented exposition of the same material and is widely used as a graduate text. Neumann, Theory of Games and Economic Behavior (1944) provides historical context and an early systematic exposition of the material.

Open methodological questions for game theory include sharpening the bridges between foundational theory and computational practice, extending classical results to broader or more structured settings, and integrating the techniques surveyed above with adjacent mathematical disciplines. The references listed in this page are the entry points that current work builds on.