Course details
- Full-time: 12 months
- Part-time: 24 months
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Explore the world of computational game theory, where computer science and economics collide, and receive a grounding in algorithmic techniques and optimisation methods and models on this MSc. You’ll develop a toolkit of analytical skills and have opportunities to specialise in areas such as microeconomics, e-commerce and data mining.
This MSc immerses you in theoretical computer science, with a particular focus on computational game theory, where computer science and economics intersect. This is an area of rapid growth where skilled professionals are in high demand.
You’ll receive a comprehensive introduction to computational game theory and focus on algorithmic aspects of game theory in depth. Exploring the computational aspects of the design of mechanisms and auctions, you’ll also examine optimisation methods and their application to various optimisation models.
Optional modules include opportunities to work with large datasets, specialise in the design and analysis of algorithms, discover the essentials of microeconomic theory, or investigate e-commerce technologies.
We’ll prepare you for an independent research project, where you’ll plan and conduct research and analyse your findings, by equipping you with all the skills you’ll need to conduct research in computer science.
Based in the Department of Computer Science, you’ll learn from leading academic experts and find a culture of research excellence with close links to industry. We’ll augment and enrich your knowledge with specialist analytical tools and develop your ability to identify and execute creative solutions to practical problems.
This programme is aimed principally at graduates who either plan to become high-profile professionals working in the IT industry or those who plan to continue to a research degree in this cutting-edge research area. This programme may also be appropriate for those professionals who are already in IT-related employment and wish to broaden and deepen their knowledge.
Please note that this course is pending accreditation by BCS, The Chartered Institute for IT.
Discover what you'll learn, what you'll study, and how you'll be taught and assessed.
This module is an introduction to the area of algorithmic game theory, which is a novel area in the intersection of economics and computer science. It provides tools for dealing with and analysing problems related to applications motivated by the Internet. Examples involve various Internet auctions and e-commerce systems, like, Google’s sponsored search, Ebay auctions, recommendation systems, etc.
This module is an in-depth tour over optimisation methods applied for various optimisation models. These methods are extensively used in both academic and industrial practices.
In this module the students will learn and practise all the necessary skills needed to conduct independent research in computer science, including literature search, project management, presentation techniques, peer reviewing, writing skills and critical review of texts. They will also learn about the professional, legal, social and ethical framework of the IT industry. The module covers, e.g., planning and scheduling projects and drawing Gantt charts. Students shall also conduct a research project (including research, paper, literature review, or MSc project proposal, …) and use tools like EndNote and Zotero bibliography manager within MS Word and Latex.
Masters module on practical algorithms and data structures for large datasets.
The module introduces formalisms to reason about knowledge and information. One such formalism is epistemic logic, where one can explicitly represent of what an agent (robot, human, system) knows about the world or about others, as in "I have sent a message, how do I know that it has been received, and that the receiver knows I know this?"
This module aims to provide an understanding of the essentials of microeconomic theory. This includes understanding what is meant by rational choice and how it can be used to predict what choices agents will make in different contexts. Students will also understand how markets work and what causes markets to fail.
This module focuses on algorithmic aspects of game theory. A main focus of this module is on the computational aspects in the design of mechanisms and auctions. as part of the module, the students learn about Googles sponsored serarch auctions, which is one of the most successful targeted advertising systems today.
This module aims to teach basic algorithmic methods for design and analysis of algorithms.
This module equips students to work at the cutting edge of research in a selected topic in theoretical computer science. Students work with primary research literature to summarize and contextualize results in an area of their choice. They will further practice to present and explain research-level results in theoretical computer science to computer scientists outside of the specific subfield.
Biologically inspired optimisation and introduction to neural networks for artificial intelligence.
The module covers a range of topics and techniques for analyzing data. Students will learn about different types of data mining problems, including classification, clustering, association pattern mining, and social network analysis, as well as algorithms to solve them.
Students will program selected data mining algorithms from scratch using Python. This hands-on approach will allow them to gain a deeper understanding of how the algorithms work and how they can be applied to real-world datasets. They will experiment with different datasets to see how the algorithms perform and learn how to interpret the results.
Multi-agent systems have emerged as one of the most important areas of research and development in information technology in the 1990s. A multi-agent system is one composed of multiple interacting software components known as agents, which are typically capable of co-operating to solve problems that are beyond the abilities of any individual member. Multi-agent systems are important primarily because they have been found to have very wide applicability, in areas as diverse as industrial process control and electronic commerce. This module will begin by introducing the student to the notion of an agent, and will lead them to an understanding of what an agent is, how they can be constructed, and how agents can be made to co-operate effectively with one another to solve problems.
Safety and Dependability will cover techniques for the validation of systems against formal specifications. In a first part, safety specifications (something bad never happens) using the Hoare calculus and safe abstraction are covered. A second part refers to termination (something good eventually happens), exploiting well foundedness. In a third part, Markov chains and decision processes are studied, extending the qualitative safety and termination problems from the first part to qualitative/probabilistic properties, and extending them to a simple probabilistic specification language, PCTL. As part of the module, the ability of formulating (probabilistic) models as Markov chains and decision processes are taught, as well as the use of of-the-shelf tools like PRISM or IscasMC for their analysis.
This module will provide an introduction to cloud computing. It will cover physical cloud infrastructure (data-centres, networks and servers), and the software stacks that run on it (containers, micro-services, orchestration and web frameworks).
During the course, students will assemble their own cloud-based application, which will be a webpage with a scalable micro-service-based backend.
Masters Level final project (individual project with dissertation)
Teaching on this programme comprises formal lectures, small group tutorials and practical sessions in computer laboratories. You will also take part in one or more group projects. At the end of the year, you’ll complete a major individual research project under expert supervision.
Modules are assessed through a combination of examinations and coursework. The examinations take place at the end of each semester and typically take the form of an in-person written assignment, usually to be completed in a couple of hours. You’ll be assigned coursework across the length of each semester. This typically takes the form of class tests, programming assignments or small projects.
Your dissertation is assessed through a combination of written reports and a presentation of your achievements.
We have a distinctive approach to education, the Liverpool Curriculum Framework, which focuses on research-connected teaching, active learning, and authentic assessment to ensure our students graduate as digitally fluent and confident global citizens.
Studying with us means you can tailor your degree to suit you. Here's what is available on this course.
The Department of Computer Science is housed in a grade II listed building which has been extensively refurbished for 21st century needs and challenges and provides state-of-the art equipment and high-speed communication links.
Dr Terry Payne talks you through what you can expect studying Computer Science at the University of Liverpool and shows you some of the facilities and equipment you will be using.
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A day in the life of Computer Science student Shania
This MSc equips you with an in-depth understanding of theoretical computer science. There is particular focus on computational game theory, a subject at the intersection of computer science and economics, which has seen a rapid growth in recent years. There is a significant skills shortage in this area and high demand for skilled professionals.
Whether you’re a recent graduate seeking a career in the IT industry, plan to continue your studies and pursue a research degree, or you’re already an IT professional in related employment, this programme will enhance your knowledge and immerse you in current developments.
We’ll prepare you for senior technical and managerial positions in the profession, as well as providing a strong foundation for potential PhD research.
Previous graduates have progressed into a variety of roles which include:
Many of our graduates also choose to continue their studies and embark on PhD research.
Your tuition fees, funding your studies, and other costs to consider.
UK fees (applies to Channel Islands, Isle of Man and Republic of Ireland) | |
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Full-time place, per year | £13,300 |
Part-time place, per year | £6,650 |
International fees | |
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Full-time place, per year | £30,800 |
Part-time place, per year | £15,400 |
Tuition fees cover the cost of your teaching and assessment, operating facilities such as libraries, IT equipment, and access to academic and personal support.
If you're a UK national, or have settled status in the UK, you may be eligible to apply for a Postgraduate Loan worth up to £12,167 to help with course fees and living costs. Learn more about fees and funding.
We understand that budgeting for your time at university is important, and we want to make sure you understand any course-related costs that are not covered by your tuition fee. This could include buying a laptop, books, or stationery.
Find out more about the additional study costs that may apply to this course.
We offer a range of scholarships and bursaries that could help pay your tuition and living expenses.
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The qualifications and exam results you'll need to apply for this course.
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Your qualification | Requirements |
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Postgraduate entry requirements |
You will normally need a 2:1 honours degree, or above, or equivalent. This degree should be in a subject area closely related to computer science. We are able to offer a level of flexibility for applicants. Those with a 2:2 honours degree will be considered on an individual basis. |
International qualifications |
If you hold a bachelor’s degree or equivalent, but don’t meet our entry requirements, you could be eligible for a Pre-Master’s course. This is offered on campus at the University of Liverpool International College, in partnership with Kaplan International Pathways. It’s a specialist preparation course for postgraduate study, and when you pass the Pre-Master’s at the required level with good attendance, you’re guaranteed entry to a University of Liverpool master’s degree. |
You'll need to demonstrate competence in the use of English language, unless you’re from a majority English speaking country.
We accept a variety of international language tests and country-specific qualifications.
International applicants who do not meet the minimum required standard of English language can complete one of our Pre-Sessional English courses to achieve the required level.
English language qualification | Requirements |
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IELTS | 6.5 overall, with no component below 5.5 |
TOEFL iBT | 88 overall, with minimum scores of listening 17, writing 17, reading 17 and speaking 19. TOEFL Home Edition not accepted. |
Duolingo English Test | 120 overall, with no component below 95 |
Pearson PTE Academic | 61 overall, with no component below 59 |
LanguageCert Academic | 70 overall, with no skill below 60 |
PSI Skills for English | B2 Pass with Merit overall and no band below B2 Pass |
INDIA Standard XII | National Curriculum (CBSE/ISC) - 75% and above in English. Accepted State Boards - 80% and above in English. |
WAEC | C6 or above |
Do you need to complete a Pre-Sessional English course to meet the English language requirements for this course?
The length of Pre-Sessional English course you’ll need to take depends on your current level of English language ability.
Find out the length of Pre-Sessional English course you may require for this degree.
Discover more about the city and University.
Liverpool bursts with diversity and creativity which makes it ideal for you to undertake your postgraduate studies and access various opportunities for you and your family.
To fully immerse yourself in the university experience living in halls will keep you close to campus where you can always meet new people. Find your home away from home.
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Dr Ullrich Hustadt
Last updated 1 November 2024 / / Programme terms and conditions