Introductory Applied Game Theory
(IAGT 2023 - Gurukulam)

About

CARAMS, MAHE (Statistics and Operations Research Chapter) will be organizing a two-week workshop (Gurukulam), carrying a credit of two points, on the topic ‘Introductory Applied Game Theory (IAGT 2023)’ during December 11 – 25, 2023. This is in continuation of Prof. T. E. S. Raghavan’s effort of organizing Gurukulam over the last few years. Broadly, the Gurukulam will concentrate on applied game theory as students with a broad background in Mathematics, Statistics, Computer Science, Economics, Political Science, and Biological Sciences could benefit.

Objective of the workshop

The Gurukulam will be conducted in two parts; Gurukulam 1 and Gurukulam 2, with the aim of providing advanced input on topics in both Non cooperative and Cooperative Game Theory.

Gurukulam 1 will focus mainly on Non cooperative applications of Game Theory. Under zero-sum games, the topics of Combinatorial Games such as saddle points, mixed strategies, minimax theorem, and solving 2×n games by graphical method will be discussed. Under nonzero-sum games, prisoner’s dilemma, battle of sexes, Aumann-Shapley Folk theorem model, domination, solving by trial-and-error approach, dominant strategies, utility theory, Nash equilibria in pure strategies, applications to determining Nash equilibria for duopoly models, open bid auction models, open bid on two objects and their Nash equilibria, Nash bargaining in two-person games and solving Nash bargaining in threat strategies, Nash equilibria in mixed strategies for bimatrix games, correlated equilibria, and evolutionary stable strategies in animal populations will be covered.

Gurukulam 2 will focus on topics in Cooperative Game Theory, such as applied algorithmic game theory for cooperative games, cooperative games with transferable utility, models of transferable utility games, measuring participant’s importance in cooperative ventures, models of cooperative games in Ricardian economies, political cooperation and competition among competitors, characteristic function, imputation, domination, stable sets for 3 person games, Shapley value, core and the nucleolus as solutions for cooperative games, algorithms for computing the Shapley value, core and the nucleolus for some structured cooperative games in models of Ricardian economy, cooperative efforts to win elections, measuring the dominant mate among married couple, allocating costs among users of cooperative construction projects, resolving legal disputes among owners of joint property, and some graph theoretic tools needed for such solutions.

The course will be delivered through lectures on the topic in-depth and tutorials. It will last for 15 days with 4 hours of lecture each day; 2 hours in the morning and 2 hours in the evening.

A limited number of seriously interested students (Doctoral/Post-doctoral/Faculty members who intend to introduce the subject of Game Theory in their Departmental courses) will be selected. A strong recommendation from their major professor is a must for being considered for the Gurukulam. Recommendation letter should be mailed to kmprasad63@gmail.com and carams.mahe@gmail.com.

Minimum Requirement: Participant must have a strong background in two among the three areas: Matrix theory, Calculus, Elementary probability. Participants have to be physically present at the campus and have to be ready to do

• Accomplish the homework to be assigned.
• Share the responsibility of typing the lecture material among them.

Course Completion Criteria: 100% attendance and submission of all the tutorial assignments.

Student Support: Six students will be given waiver off registration fee. Aspirant may write to the Coordinator of CARAMS (kmprasad63@gmail.com) or to T E S Raghavan (terctu@gmail.com), immediately after the registration, attaching the necessary recommendation.