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ME206: Mastering Strategy with Game Theory

Subject Area: Data Science, AI and Research Methods

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Course details

  • Department
    Department of Mathematics
  • Application code
    SS-ME206
Dates
Session oneNot running in 2026
Session twoNot running in 2026
Session threeOpen - 3 Aug 2026 - 21 Aug 2026

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We are accepting applications. Apply early to avoid disappointment.

Overview

In business, politics, and everyday life, success depends not only on your own decisions but on anticipating and influencing the choices of others. Game theory provides a systematic framework for such strategic thinking, allowing you to analyse interactions where outcomes depend on the combined actions of multiple players.

This course introduces the science of strategic decision-making. You will learn to identify the key elements of any strategic situation: who the players are, what actions they can take, what information they have, and how they value different outcomes. Building on these foundations, you will explore core concepts such as Nash equilibrium, the power of commitment, and the principles of effective mechanism design, all with minimal mathematical prerequisites but strong emphasis on conceptual insight.

The course moves from basic models to more sophisticated scenarios, each grounded in real-world applications. You will examine how telecoms spectrum auctions raised billions, why Brexit negotiations unfolded as they did, how matching algorithms assign doctors to hospitals and support kidney exchanges, and how AI agents learn to interact strategically.

Our approach emphasises intuition over technical proofs. Through iconic examples such as the Prisoner’s Dilemma and through structured case analysis, you will see why cooperation can arise from self-interest, when randomness becomes a rational strategy, and how apparently “irrational” behaviour may be optimal.

By the end of the course, you will be able to think more clearly and systematically about strategic situations in any context: equipped with frameworks that are valuable across economics, business, politics, and technology.

Key information

Prerequisites: An introductory course in probability or statistics and experience with basic linear algebra (matrix-vector multiplication). An interest in strategic thinking is essential, but no advanced mathematics is required.

Level: 200 level. Read more information on levels in our FAQs

Fees: Please see Fees and payments

Lectures: 36 hours

Classes: 18 hours

Assessment: A mid-session exam (40%) and a final exam (60%). 

Typical credit: 3-4 credits (US) 7.5 ECTS points (EU)

Please note: Assessment is optional but may be required for credit by your home institution. Your home institution will be able to advise how you can meet their credit requirements. For more information on exams and credit, read Teaching and assessment

Is this course right for you?

This course is for anyone interested in how strategic choices interact in business, economics, and society. Students with quantitative backgrounds will find powerful modelling tools; those from management and social sciences will learn to apply mathematical reasoning to real strategic problems. The focus is on insight and clear conceptual structure, not on technical complexity.

Outcomes

Understanding of key concepts. By the end of the course, students will be able to:

  • Analyse strategic situations by identifying players, strategies, and anticipating others’ actions.
  • Recognise how incentives shape behaviour and outcomes.
  • Understand how the rules of a game influence strategic possibilities and results.
  • Evaluate the role of information, including how common knowledge affects decision-making.
  • Explain classic paradoxes in multi-player settings, such as free-riding, the Tragedy of the Commons, congestion effects, and preference cycles (Condorcet paradox).

Content

Prachin Patel, India

I enjoyed that the course was practical. All of the theory we learned in lectures was then applied in classes, and the reinforcement of the ideas really helped me to learn.

Faculty

The design of this course is guided by LSE faculty, as well as industry experts, who will share their experience and in-depth knowledge with you throughout the course.

Galit Ashkenazi-Golan

Dr Galit Ashkenazi-Golan

Assistant Professor

Bernhard von Stengel

Professor Bernhard von Stengel

Professor

Department

LSE’s Department of Mathematics is internationally-recognised for its teaching and research. Located within a world-class social science institution, the Department aims to be a leading centre for Mathematics in the social sciences. The Department has more than doubled in size in recent years, and this growth trajectory reflects the increasing impact that mathematical theory and techniques are having on subjects such as economics, finance and many other areas of the social sciences.

Students will engage with world-leading faculty and be exposed to cutting-edge research in the field, at the forefront of the intersection between mathematics and its use in other social science disciplines to solve global problems. This ensures that students within the department are equipped with the necessary analytical skills to tackle important mathematical challenges in a variety of sectors.

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Applications are open

We are accepting applications. Apply early to avoid disappointment.