PIPages
Labs

Tuomas Sandholm

Carnegie Mellon University, PA·Computer Science

Many important strategic situations, such as negotiations, auctions, cybersecurity and defense, are far too large or complex for people to solve by hand. Often players cannot see everything their opponents know, and sometimes the rules are not even written down, so a solver can only practice inside a simulator.

Fields

Computer Science

Mathematics & Statistics

Topics

game theory

computational game solving

imperfect-information games

Grants
1 known grant, through Jul 2027

What they work on

  1. Design, implement and test scalable subtree-solving techniques that refine strategies for the part of a multi-step, imperfect-information game actually reached during play.
  2. Develop subgame-solving methods that work when the common knowledge closure, the set of game states consistent with public knowledge, is too large to compute directly.
  3. Create scalable techniques that find equilibrium strategies with guarantees of low or zero exploitability when the solver has only a simulator and no written rules.

More about the research

This project aims to make computer algorithms that find good strategies for these settings far more scalable. It focuses on multi-step games of imperfect information, where players act in turns and hold hidden information.

Why it matters

Algorithms that compute strong strategies with guarantees could support decision-making wherever parties interact strategically. The abstract names negotiation, business, defense, auctions, strategic pricing, cybersecurity and medicine. Because the methods work from a simulator alone, they could also apply to settings where the rules are unknown, such as trading simulations and real-time strategy environments.

Known grants

From NIH and NSF research grants. Labs often have other funding we can't see.

RI: Medium: Techniques for Massive-Scale Strategic Reasoning: Imperfect-Information Subgame Solving and Offering Guarantees in Simulation-Based Games

NSF · Aug 2023 – Jul 2027

Closest labs

Simina Branzei

Purdue University, IN·Computer Science·Early-career

Analyze market dynamics in which computationally limited players with only local information interact over time, testing whether globally efficient allocations emerge and whether markets grow or shrink.

Asaf Cohen

University of Michigan, MI·Mathematics & Statistics

Rigorously connect the long-horizon behavior of finite-player stochastic games to their mean field game limits, identifying structural features that stay stable as the number of players grows.

Igor Cialenco

Illinois Institute of Technology, IL·Mathematics & Statistics

Develop a tractable top-down stochastic model of groundwater levels and use it to study how prices of tradeable groundwater rights form as a Nash equilibrium among competing water users.

The school

Carnegie Mellon University: 28 labs on PI Pages, $505M a year on research, 346 research doctorates a year.

More about Carnegie Mellon University

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