Evidence map›Paper›PMID 41838917›Full record

ArticleProceedings of the National Academy of Sciences of the United States of America2026

On the optimal integration of intelligent agents into network systems to steer cooperation.

Feng Fu, Xingru Chen, Nicholas A Christakis

Abstract read
In one paragraph

Article in Proceedings of the National Academy of Sciences of the United States of America, 2026. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.

0numbers the graph read from it
0cells of the map it votes in
0citing papers in PubMed
–field-weighted citation impact
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

0 citing papers in PubMed.

No citing paper in PubMed yet.

4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

3 authors.

Feng FuDepartment of Mathematics, Dartmouth College, Hanover, NH 03755.ORCID 0000-0001-8252-1990
Xingru ChenSchool of Artificial Intelligence, Beihang University, Beijing 100191, China.ORCID 0000-0001-9131-3798
Nicholas A ChristakisHuman Nature Lab, Yale University, New Haven, CT 06520.ORCID 0000-0001-5547-1086

Funding

NOMIS Stiftung (NOMIS Foundation) NAPershing Square Foundation (PSF) NA
6 · The paper itself

Abstract

Sociotechnical networks, in which humans and technologies act as interacting entities (also known as "hybrid systems"), increasingly face perturbations by automated agents. What this implies for immersive steering of collective behavior, and how this shapes the stability and resilience of cooperation, remain unclear. Here, we extend evolutionary graph theory by incorporating a distinct type of node representing embedded intelligent agents, namely, algorithmic nodes that autonomously implement prescribed behavioral responses during interactions. These agents are randomly placed within a social network and exert local influence in their neighborhood in social dilemma games. Individual behavior changes are driven by evolutionary dynamics. We derive closed-form analytical results characterizing evolutionary stability and long-run cooperation levels, and show that there exists an optimal, intermediate prevalence of intelligent agents that best promotes cooperation. Our work offers insights into the optimal alignment of human populations with respect to the social good using intelligent agents.

Indexed as

Artificial IntelligenceCooperative BehaviorAlgorithmsGame TheoryHumansIntelligent SystemsModels, Theoreticalcooperative AIgame theoryhybrid human–AI systemsimmersive control

Identifiers

PMID41838917
PMCPMC13011929

What OpenQuestion holds

Textmetadata
Read underepoch 390

Registered trials

None linked

Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.