PreprintCC BY-NC-SA 4.0arXiv
Open-ended innovation arm-race in zero-sum games
Abstract
This note discusses zero-sum games with open-ended innovation, whereby each player may introduce new strategies. The innovation process is modelled as a draw of new strategies form a distribution. It is argued that, when the cost of innovation is vanishingly small, this setting can lead to an everlasting innovation arm-race. In particular, the introduction of new technologies of the advanced player increases the marginal utility for technological innovation of the backward one, whereas innovation of the backward player disincentivizes the more advanced one to innovate.
Related
- Performance of Zero-determinant Strategies in Repeated Games without Discounting
- Average-and Last-Iterate Lower Bounds for Optimistic Matrix Mirror-Prox in Quantum Zero-Sum Games
- Coherent receiver for Continuous-Variable Quantum Key Distribution using a 3 × 3 beam splitter and single-ended photodetectors
- Benchmarking Hierarchical Double-Ended Transition-State Search Methods for Metal-Catalyzed Reactions.
- RACE-FPP: A Robust AI-assisted Characterisation Enhancement for Fringe Projection Profilometry
BibTeX
@misc{marsili2026openended,
title = {{Open-ended innovation arm-race in zero-sum games}},
author = {Matteo Marsili},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2607.25677},
eprint = {2607.25677},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2607.25677},
note = {CC BY-NC-SA 4.0},
}
RIS
TY - UNPB
TI - Open-ended innovation arm-race in zero-sum games
AU - Matteo Marsili
PY - 2026
DA - 2026/09/05
PB - arXiv
DO - 10.48550/arxiv.2607.25677
UR - https://arxiv.org/abs/2607.25677
AB - This note discusses zero-sum games with open-ended innovation, whereby each player may introduce new strategies. The innovation process is modelled as a draw of new strategies form a distribution. It is argued that, when the cost of innovation is vanishingly small, this setting can lead to an everlasting innovation arm-race. In particular, the introduction of new technologies of the advanced player increases the marginal utility for technological innovation of the backward one, whereas innovation of the backward player disincentivizes the more advanced one to innovate.
ER -