About Me

I am an Assistant Professor at the UT Austin Economics Department. I completed my Ph.D. in Economics at MIT in 2025. I am primarily interested in Economic Theory.

My research explores how information shapes outcomes in strategic interactions. I study how information can be designed to incentivize coordination, and how private information can be reliably aggregated. Beyond information-related questions, I am also interested in economic phenomena—such as money and commodity flows, matching, and decentralized markets—that can be studied using similar theoretical tools.

Research Papers

(Job Market Paper) Version: April 2025

Idea: Represent the global game on a sphere and apply noise through rotations. Exploit invariance of beliefs to symmetric transformations to obtain characterization of limit beliefs when noise vanishes. 

Games with strategic complementarities often exhibit multiple equilibria. In a global game, players privately observe a noisy signal of the underlying payoff matrix. As the noise diminishes, a unique equilibrium is selected in almost all binary-action games with strategic complementarities – a property known as “limit uniqueness.” This paper describes the limits of that approach in two-player games, as we move beyond two actions. Unlike binary-action games, limit uniqueness is not an intrinsic feature of all games with strategic complementarities. When the noise is symmetric, we demonstrate that limit uniqueness holds if and only if the payoffs exhibit a generalized ordinal potential property. Moreover, we provide an example illustrating how this condition can be easily violated.

We study (interim correlated) rationalizability in games with incomplete information. For each given game, we show that a simple and finitely parameterized class of information structures is sufficient to generate every outcome distribution induced by general common prior information structures. In this parameterized family, players observe signals of two kinds: A finite signal and a common state with additive, idiosyncratic noise. We characterize the set of rationalizable outcomes of a given game as a convex polyhedron.

 
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Screenshot 2025-07-03 at 6.58.42 PM

Two information structures are said to be close if, with high probability, there is approximate common knowledge that interim beliefs are close under the two information structures. We define an “almost common knowledge topology” reflecting this notion of closeness. We show that it is the coarsest topology generating continuity of equilibrium outcomes. An information structure is said to be simple if each player has a finite set of types and each type has a distinct first-order belief about payoff states. We show that simple information structures are dense in the almost common knowledge topology and thus it is without loss to restrict attention to simple information structures in information design problems.

 

We provide a strategic foundation for information: in any given game with incomplete information we define strategic quotients as information representations that are sufficient for players to compute best-responses to other players. We prove 1/ existence and essential uniqueness of a minimal strategic quotient called the Strategic Type Space (STS) in which a type is given by an interim correlated rationalizability hierarchy together with the set of beliefs over other players’ types and nature that rationalize this hierarchy 2/ that this minimal STS is a quotient of the universal type space and 3/ that the minimal STS has a recursive structure that is captured by a finite automaton.

In this short note, we describe an information aggregation mechanism that can be used by players before playing a game of strategic complementarities under incomplete information. In such a game, players may have an incentive to share overly optimistic information with others, thereby inducing them to take higher actions. In this mechanism, players trade a token before playing the game. Players who wish to communicate good news must purchase this worthless token and burn resources. The note shows that players only need to observe the market-clearing price that arises from the token trades to aggregate their private information. Each element in a player’s private information set is encoded as a prime number in the prime factorization of the market-clearing price. The element contained in every player’s information set is identified as the prime with the highest multiplicity.

Preliminary Work in Progress

  1. Implementing Walrasian Allocations in Decentralized Markets (with R. Townsend)

If commodities are allowed to flow at different speeds, we can implement Walrasian allocations using decentralized trading rules without money. Like money, the relative speeds of commodity flows play a role in facilitating exchange. 

Copyright © 2025 Rafael Veiel. All Right Reserved.
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