Next Article in Journal
Gender, Emotions, and Tournament Performance in the Laboratory
Previous Article in Journal
Clusters with Minimum Transportation Cost to Centers: A Case Study in Corn Production Management
Open AccessArticle

Multi-Leader Multi-Follower Model with Aggregative Uncertainty

1,*,† and 2,†
Department of Mathematics and Applications, University of Naples Federico II, Via Claudio 21, 80125 Naples, Italy
Department of Economic and Statistic Science, University of Naples Federico II, Complesso Monte Sant’Angelo 21, 80125 Naples, Italy
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Academic Editor: Mamoru Kaneko
Games 2017, 8(3), 25;
Received: 28 April 2017 / Revised: 9 June 2017 / Accepted: 19 June 2017 / Published: 22 June 2017
PDF [272 KB, uploaded 22 June 2017]


We study a non-cooperative game with aggregative structure, namely when the payoffs depend on the strategies of the opponent players through an aggregator function. We assume that a subset of players behave as leaders in a Stackelberg model. The leaders, as well the followers, act non-cooperatively between themselves and solve a Nash equilibrium problem. We assume an exogenous uncertainty affecting the aggregator and we obtain existence results for the stochastic resulting game. Some examples are illustrated. View Full-Text
Keywords: aggregative game; hierarchical model; Nash equilibrium aggregative game; hierarchical model; Nash equilibrium
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

Share & Cite This Article

MDPI and ACS Style

Mallozzi, L.; Messalli, R. Multi-Leader Multi-Follower Model with Aggregative Uncertainty. Games 2017, 8, 25.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics



[Return to top]
Games EISSN 2073-4336 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top