Summer Internship 2022

From July 8 till August 8 International Laboratory of Game Theory and Decision Making held a summer internship for over 20 students from Russian universities majoring in math.

The Lab organized the internship in such a way that both novice researchers and those who have already achieved substantial results in the scientific field could benefit from it. The main objective of the internship was project work, meaning that the Lab’s current researchers chose interesting open problems, got the students acquainted with them and the related background, and suggested ways to solving them.

Week 1 was thus almost like a Summer school but devoted to presenting these research problems in the context of bigger research fields. The interns were then offered to choose a project of their interest, organize a scientific team, and work on their problems until the end of the internship and then present their results.

Our researchers offered the following scientific topics:

• New concepts in approximate fairness for indivisible objects (Artem Baklanov)

• Equilibrium unemployment with general utility (Pavel Molchanov)
• Finiteness of competitive equilibria / 3x3 assignment problem (Elena Yanovskaya)
• RSD and other random assignment mechanisms / Dating market (Alexander Nesterov)
• Oligopolistic screening / Matching in spatial monopolistic competition (Sergey Kokovin, Fedor Iskhakov)
• Refinement and experiments with a detailed model of the behavior of irrational agents in the predictive market for the subsequent creation of a system of interpretable collective intelligence / Solving questions about the coincidence of consensus and collective probabilities in collective intelligence systems (Nikolai Osipov)
• Bayesian Incentive-Compatible Optimal Auctions through Deep LearningEgor Ianovski (Extending veto to a continuous space) (Dmitrii Ivanov)
• NE in separable congestion games / Optimal random mechanism for fair division w/o known distribution / Optimal robust bilateral trade mech (Alexey Suzdaltsev)
• 2 problems on transversal games (Vasily Gusev)

• 5 axiomatic problems for competitions and tournaments (Alexey Kondratiev)
  

On August 5 and 8, the students held presentations on their research findings. 

After the internship, several students were invited to become part of the Lab’s research team starting September ’22.