arXiv 14 Jul 2026 · Econometrics
arXiv:2607.12629 · PDF · DOI · OpenAlex · Extracted main text
This article extends the dynamic programming framework introduced by (Rote, 2019) from the univariate to the bivariate isotonic problem, using an anti-diagonal traversal procedure. The proposed algorithm is applied to the well-known baseball data set that describes the association of salary with a collection of player properties, including the number of runs batted and hits. The new algorithm is relevant in the sense that dynamic programming has a wide range of applications in economics, such as the savings problem, economic growth, job search, business cycles, oligopoly equilibrium, recursive contracts, and forecasting.
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The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.
| Reference | Intensity | Mentions | Sections | Main text | |
|---|---|---|---|---|---|
| 1 | G. Rote (2019) Isotonic Regression by Dynamic Programming | 1.000 | 6 | 3 | 100% |
| 2 | E. Lim (2025) Isotonic and Convex Regression: A Review of Theory, Algorithms, and Applications | 0.737 | 3 | 2 | 100% |
| 3 | G. Bril, R. Dykstra, C. Pillers, and T. Robertson (1984) Algorithm AS 206: Isotonic Regression in Two Independent Variables | 0.644 | 2 | 2 | 100% |
| 4 | R. L. Dykstra and T. Robertson (1982) An Algorithm for Isotonic Regression for Two or More Independent Variables | 0.644 | 2 | 2 | 100% |
| 5 | R. Luss, S. Rosset, and M. Shahar (2024) Isotonic Recursive Partitioning | 0.511 | 2 | 1 | 100% |
| 6 | E. Barlow, R, D. J. Bartholomew, J. M. Bremner, and H. D. Brunk (1972) Statistical Inference under Order Restrictions | 0.405 | 1 | 1 | 100% |
| 7 | D. P. Bertsekas and J. N. Tsitsiklis (1996) Neuro-Dynamic Programming | 0.405 | 1 | 1 | 100% |
| 8 | L. Breiman, J. H. Friedman, R. A. Olshen, and C. J. Stone (1984) Classification And Regression Trees | 0.405 | 1 | 1 | 100% |
| 9 | H. D. Brunk (1955) Maximum Likelihood Estimates of Monotone Parameters | 0.405 | 1 | 1 | 100% |
| 10 | Y. K. Cheung and K. M. Diaz (2023) Monotone response surface of multi-factor condition: estimation and Bayes classifiers | 0.405 | 1 | 1 | 100% |
Showing the top 10 of 12 scored citations.