PIPages
Labs

Simina Branzei

Purdue University, IN·Computer Science·Early-career

When many players with their own goals interact, as in markets, auctions or traffic, economists often describe the outcome as an equilibrium. A Nash equilibrium is a state where no player can do better by changing strategy alone.

Fields

Computer Science

Mathematics & Statistics

Social Science

Topics

game theory

Nash equilibrium

competitive equilibrium

Grants
1 known grant, through Mar 2028

What they work on

  1. 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.
  2. Study games where a few learning players have different incentives, and determine which learning algorithms players should use when their goals conflict.
  3. Characterize how the geometry of a graph relates to the complexity of local search, using models such as best-response dynamics in congestion games.
  4. Connect equilibrium concepts such as Nash and competitive equilibria to dynamic models of adapting players, combining tools from algorithms, dynamical systems and probability.

More about the research

A competitive equilibrium is one where prices balance supply and demand. These are static snapshots, though, while real players keep adapting to the world around them. This project asks what happens during that process of adaptation. When do these dynamics reach good outcomes, how fast do they get there, and what makes the search hard? The work is inspired by applications such as designing efficient and fair markets on online platforms and creating ways to allocate waste.

Why it matters

This is mainly theoretical work that strengthens the mathematical foundations of games, learning and dynamics. It could eventually inform the design of efficient and fair markets on online platforms, ways to allocate waste, and algorithms for settings where several learning agents have competing incentives.

Known grants

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

CAREER: Dynamics of Searching for Equilibria

NSF · Apr 2023 – Mar 2028

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Christian Kroer

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The school

Purdue University: 43 labs on PI Pages, $932M a year on research, 833 research doctorates a year.

More about Purdue University

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