Books like Game Theory by Graham Romp

A comprehensive introduction to noncooperative game theory, suitable for advanced students in economics and related fields.

Theory of Games and Economic Behavior, by John von Neumann and Oskar Morgenstern, established the field of game theory, shaping modern economic analysis with mathematical precision.

This textbook offers a systematic, self-contained account of the main contributions of modern game theory and its applications to economics. Starting with a detailed description of how to model strategic situations, the discussion proceeds by studying basic solution concepts, their main refinements, games played under incomplete information, and repeated games. For each of these theoretical developments, there is a companion set of applications that cover the most representative instances of game-theoretic analysis in economics, e.g. oligopolistic competition, public goods, coordination failures, bargaining, insurance markets, implementation theory, signaling and auctions. The theory and applications covered in the first part of the book fall under the so-called 'classical' approach to game theory, which is founded on the paradigm of players' unlimited rationality. The second part shifts towards topics that no longer abide by that paradigm. This leads to the study of topics such as the interplay between evolution and rationality.

A foundational text that guides readers from elementary algebra and set theory through calculus, differential equations, matrix algebra, and integration to the mathematical underpinnings of economic theory.