---
title: "Bellman equation: formula and 10 recent papers"
description: "Bellman equation was mentioned in 10 papers in the last 30 days (2026-09-27 to 2026-10-26), ranking #66 of the 104 equations and models mentioned."
url: https://scholar4ai.com/equations/bellman-equation
markdown_url: https://scholar4ai.com/equations/bellman-equation.md
license: CC BY-NC 4.0 (https://creativecommons.org/licenses/by-nc/4.0/)
share_text: "Bellman equation was mentioned in 10 papers in the last 30 days (2026-09-27 to 2026-10-26), ranking #66 of the 104 equations and models mentioned."
data_url: https://scholar4ai.com/data/rankings.json
updated: 2026-10-26T14:52:47+09:00
window: 2026-09-27 to 2026-10-26
source: OpenAlex (CC0)
---

# Bellman equation

$$
V(s) = \max_{a}\left\{ r(s, a) + \beta \sum_{s'} P(s' \mid s, a)\, V(s') \right\}
$$

Recursive condition for the value of a dynamic optimization or Markov decision problem.

- area: Game theory and decision analysis
- 0 papers in the last 7 days
- Names searched for: Bellman equation, Hamilton-Jacobi-Bellman, HJB equation, Bellman optimality

Back to the ranking: https://scholar4ai.com/rankings/equations.md

## Key findings

- Bellman equation was mentioned in 10 papers in the last 30 days (2026-09-27 to 2026-10-26), ranking #66 of the 104 equations and models mentioned.
- By journal category: Economics (5), Finance (2), Operations Research (2) and AI (1).
- Most of them appeared in Environmental and Resource Economics (1), Finance research letters (1) and Computational Economics (1).
- Often mentioned together with Mean-variance portfolio (Markowitz) (2), Logistic regression (logit) (2) and Linear and integer programming (2).
- Datasets named in the same papers: OR-Library (2), Eurostat (1) and International Energy Agency (IEA) (1).
- From Oct 2023 to Sep 2026, 106 archived papers mentioned Bellman equation in their title, abstract or keywords, most of them in Jan 2024 (7).

## Mentions over 36 months

*Papers mentioning it by publication month, Oct 2023 to Sep 2026 (titles, abstracts and keywords)*

| Trend | Oct 23–Sep 24 | Oct 24–Sep 25 | Oct 25–Sep 26 | 36 months |
|---|---:|---:|---:|---:|
|  | 50 | 41 | 15 | 106 |

*Papers mentioning Bellman equation, newest first.*

| Date | Title | Journal | Authors | Affiliations |
|---|---|---|---|---|
| 2026-10-19 | [Renewable Natural Resources, Regime Shift and Hysteresis](https://doi.org/10.1007/s10640-026-01120-2) | [Environmental and Resource Economics](https://scholar4ai.com/journals/environmental-and-resource-economics.md) | Ted To |  |
| 2026-10-16 | [Time-consistent reinsurance-investment optimization for an ambiguity-averse insurer with Bayesian learning](https://doi.org/10.1016/j.frl.2026.110910) | [Finance research letters](https://scholar4ai.com/journals/finance-research-letters.md) | Xinya He, Haixiang Yao, Shumin Chen | Guangdong University of Technology; Guangdong University of Foreign Studies |
| 2026-10-16 | [Optimal Investment-Consumption and Insurance Strategy for A Heterogeneous Couple](https://doi.org/10.1007/s10614-026-11444-2) | [Computational Economics](https://scholar4ai.com/journals/computational-economics.md) | Zhiping Chen, Tao Wang, JUNHUI ZHUO | Xi'an Jiaotong University |
| 2026-10-09 | [Asset-based model of innovation: Governance structure and the coevolution of complementary and innovation assets](https://doi.org/10.1007/s00191-026-00981-6) | [Journal of Evolutionary Economics](https://scholar4ai.com/journals/journal-of-evolutionary-economics.md) | Tsutomu Harada | Kobe University |
| 2026-10-08 | [Modeling optimal incentives for the electric vehicle market](https://doi.org/10.1016/j.enpol.2026.115646) | [Energy Policy](https://scholar4ai.com/journals/energy-policy.md) | Paul  Vincent Johnson, Dávid Zoltán Szabó | University of Manchester; Corvinus University of Budapest |
| 2026-10-08 | [Tokenization under governance and liquidity constraints: The case of university intellectual property](https://doi.org/10.1016/j.iref.2026.105905) | [International Review of Economics & Finance](https://scholar4ai.com/journals/international-review-of-economics-finance.md) | Andreas Peters | Rosenheim Technical University of Applied Sciences |
| 2026-10-06 | [Optimization modeling in business and government: in honor of Professor John M. Mulvey on his 80th birthday](https://doi.org/10.1007/s10479-026-07445-x) | [Annals of Operations Research](https://scholar4ai.com/journals/annals-of-operations-research.md) | David A. Saunders, Stavros A. Zenios | University of Waterloo; Durham University; University of Cyprus |
| 2026-10-01 | [Effective algorithms for tensor-train decomposition via the UTV framework](https://doi.org/10.1016/j.patcog.2026.115057) | [Pattern Recognition](https://scholar4ai.com/journals/pattern-recognition.md) | Yuchao Wang, Maolin Che, Yimin Wei | Chengdu University of Technology; Guizhou University; Fudan University |
| 2026-09-30 | [Solution methods for the dynamic and probabilistic profitable tour problem](https://doi.org/10.1007/s00291-026-00875-w) | [OR Spectrum](https://scholar4ai.com/journals/or-spectrum.md) | Marvin Caspar, Daniel Schermer, Oliver Wendt | University of Kaiserslautern; Rheinland-Pfälzische Technische Universität Kaiserslautern-Landau |
| 2026-09-28 | [Incomplete markets, crop portfolios, and agricultural productivity](https://doi.org/10.1016/j.jdeveco.2026.103944) | [Journal of Development Economics](https://scholar4ai.com/journals/journal-of-development-economics.md) | ALBERT RODRÍGUEZ-SALA | Universidad de Cantabria |

## Cite this page

Scholar4AI. (2026). Bellman equation. Journal Research Rankings. Retrieved October 26, 2026, from https://scholar4ai.com/equations/bellman-equation

```bibtex
@misc{scholar4ai-equations-bellman-equation,
  author = {{Scholar4AI}},
  title = {Bellman equation},
  year = {2026},
  howpublished = {\url{https://scholar4ai.com/equations/bellman-equation}},
  urldate = {2026-10-26},
  note = {Journal Research Rankings; data from OpenAlex (CC0); licensed CC BY-NC 4.0}
}
```

License: CC BY-NC 4.0 (https://creativecommons.org/licenses/by-nc/4.0/).