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Etienne de Montbrun, and Jérôme Renault

vol. 12, n. 3, July 2025, pp. 267–301

We study the convergence of optimistic gradient descent ascent in unconstrained bilinear games. For zero-sum games, we prove exponential convergence to a saddle-point for any payoff matrix, and provide the exact ratio of convergence as a function of the step size. Then, we introduce OGDA for...

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Pascal Bégout, and Jean-Pierre Neveu

vol. 29, n. 3, July 2025, pp. 431–451

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Daniel L. Chen, and Markus Loecher

vol. 116, n. 102364, July 2025

Emotions are said to underlie moral decision-making. We detect intra-judge variation spanning three decades in 1.5 million judicial decisions driven by factors unrelated to case merits. U.S. immigration judges grant an additional 1.4 % points of asylum petitions–and U.S. district judges assign 0.6...

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Matthew Adler, Maddalena Ferranna, James K. Hammitt, Eugénie de Laubier, and Nicolas Treich

vol. 37, n. 7, July 2025, pp. 1350–1364

The fair innings principle states that fairness requires allocating life-saving treatments to younger rather than older patients when each would gain the same extension in longevity. It is motivated by the notion that older patients have already benefited from a longer life and so have less claim...

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Manon Costa, Sébastien Gadat, and Lorick Huang

vol. 29, July 2025, p. 609–664

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Harun Onder, Pierre Pestieau, and Grégory Ponthieres

vol. 91, n. 2, June 2025, pp. 210–239, 30 pages

We examine the effects of the postulated metric on the measurement of well-being, by comparing, in the (income, lifetime) space, two indexes: the equivalent income index and the equivalent lifetime index. The conditions under which the equivalent lifetime index exists are more restrictive than the...

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Alexandros Gelastopoulos, Lucas Sage, and Arnout van de Rijt

vol. 122(23), n. e2408163122, June 2025

Inequality in outcomes may emerge through a reinforcement process in which stochastic variation in values is determined by prior values but may also originate in preexisting differences in unobserved factors. A common approach toward differentiating between these origins in longitudinal data is to...

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Benoît Chevalier-Roignant, Stéphane Villeneuve, Fabien Delpech, and May-Line Grapotte

vol. 175, n. 105098, June 2025

There are many business situations in which investments by a supplier and a producer (“coinvest-ments") are both necessary for either of them to grasp a business opportunity. For instance, better quality tanks are needed to manufacture reliable hydrogen-powered vehicles. One of these two firms,...

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Elia Lapenta, and Pascal Lavergne

vol. 41, n. 3, June 2025, pp. 709–738

We set up a formal framework to characterize encompassing of nonparametric models through the distance. We contrast it to previous literature on the comparison of nonparametric regression models. We then develop testing procedures for the encompassing hypothesis that are fully nonparametric. Our...

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Michele Bisceglia, and Salvatore Piccolo

vol. 56, n. 2, June 2025, pp. 216–230

We study a two-period industry where firms are run by agents privately informed about their (persistent) costs, and principals can only use spot contracts. We characterize novel semi-separating equilibria where principals randomize in one or both periods. These equilibria have the following...

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