Optimal policy design for innovation diffusion: shaping today's incentives for transforming the future

Fuente: arXiv
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Main Authors: Piccinin, Lisa, Breschi, Valentina, Ravazzi, Chiara, Dabbene, Fabrizio, Tanelli, Mara
Format: Preprint
Published: 2025
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author Piccinin, Lisa
Breschi, Valentina
Ravazzi, Chiara
Dabbene, Fabrizio
Tanelli, Mara
author_facet Piccinin, Lisa
Breschi, Valentina
Ravazzi, Chiara
Dabbene, Fabrizio
Tanelli, Mara
contents In this paper, we propose a new framework for the design of incentives aimed at promoting innovation diffusion in social influence networks. In particular, our framework relies on an extension of the Friedkin and Johnsen opinion dynamics model characterizing the effects of (i) short-memory incentives, which have an immediate yet transient impact, and (ii) long-term structural incentives, whose impact persists via an exponentially decaying memory. We propose to design these incentives via a model-predictive control (MPC) scheme over an augmented state that captures the memory in our opinion dynamics model, yielding a convex quadratic program with linear constraints. Our numerical simulations based on data on sustainable mobility habits show the effectiveness of the proposed approach, which balances large-scale adoption and resource allocation
format Preprint
id arxiv_https___arxiv_org_abs_2511_19143
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Optimal policy design for innovation diffusion: shaping today's incentives for transforming the future
Piccinin, Lisa
Breschi, Valentina
Ravazzi, Chiara
Dabbene, Fabrizio
Tanelli, Mara
Systems and Control
In this paper, we propose a new framework for the design of incentives aimed at promoting innovation diffusion in social influence networks. In particular, our framework relies on an extension of the Friedkin and Johnsen opinion dynamics model characterizing the effects of (i) short-memory incentives, which have an immediate yet transient impact, and (ii) long-term structural incentives, whose impact persists via an exponentially decaying memory. We propose to design these incentives via a model-predictive control (MPC) scheme over an augmented state that captures the memory in our opinion dynamics model, yielding a convex quadratic program with linear constraints. Our numerical simulations based on data on sustainable mobility habits show the effectiveness of the proposed approach, which balances large-scale adoption and resource allocation
title Optimal policy design for innovation diffusion: shaping today's incentives for transforming the future
topic Systems and Control
url https://arxiv.org/abs/2511.19143