On a Coupled Adoption-Opinion Framework for Competing Innovations
Fuente:
arXiv
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866918302023942144 |
|---|---|
| author | Alutto, Martina Dabbene, Fabrizio Fontan, Angela Johansson, Karl H. Ravazzi, Chiara |
| author_facet | Alutto, Martina Dabbene, Fabrizio Fontan, Angela Johansson, Karl H. Ravazzi, Chiara |
| contents | In this paper, we propose a two-layer adoption-opinion model to study the diffusion of two competing technologies within a population whose opinions evolve under social influence and adoption-driven feedback. After adopting one technology, individuals may become dissatisfied and switch to the alternative. We prove the existence and uniqueness of the adoption-diffused equilibrium, showing that both technologies coexist and that neither partial-adoption nor monopoly can arise. Numerical simulations show that while opinions shape the equilibrium adoption levels, the relative market share between the two technologies depends solely on their user-experience. As a consequence, interventions that symmetrically boost opinions or adoption can disproportionately favor the higher-quality technology, illustrating how symmetric control actions may generate asymmetric outcomes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_16719 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On a Coupled Adoption-Opinion Framework for Competing Innovations Alutto, Martina Dabbene, Fabrizio Fontan, Angela Johansson, Karl H. Ravazzi, Chiara Systems and Control In this paper, we propose a two-layer adoption-opinion model to study the diffusion of two competing technologies within a population whose opinions evolve under social influence and adoption-driven feedback. After adopting one technology, individuals may become dissatisfied and switch to the alternative. We prove the existence and uniqueness of the adoption-diffused equilibrium, showing that both technologies coexist and that neither partial-adoption nor monopoly can arise. Numerical simulations show that while opinions shape the equilibrium adoption levels, the relative market share between the two technologies depends solely on their user-experience. As a consequence, interventions that symmetrically boost opinions or adoption can disproportionately favor the higher-quality technology, illustrating how symmetric control actions may generate asymmetric outcomes. |
| title | On a Coupled Adoption-Opinion Framework for Competing Innovations |
| topic | Systems and Control |
| url | https://arxiv.org/abs/2601.16719 |