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Article

Multi-Leader Multi-Follower Model with Aggregative Uncertainty

by 1,*,† and 2,†
1
Department of Mathematics and Applications, University of Naples Federico II, Via Claudio 21, 80125 Naples, Italy
2
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
Received: 28 April 2017 / Revised: 9 June 2017 / Accepted: 19 June 2017 / Published: 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
MDPI and ACS Style

Mallozzi, L.; Messalli, R. Multi-Leader Multi-Follower Model with Aggregative Uncertainty. Games 2017, 8, 25. https://0-doi-org.brum.beds.ac.uk/10.3390/g8030025

AMA Style

Mallozzi L, Messalli R. Multi-Leader Multi-Follower Model with Aggregative Uncertainty. Games. 2017; 8(3):25. https://0-doi-org.brum.beds.ac.uk/10.3390/g8030025

Chicago/Turabian Style

Mallozzi, Lina, and Roberta Messalli. 2017. "Multi-Leader Multi-Follower Model with Aggregative Uncertainty" Games 8, no. 3: 25. https://0-doi-org.brum.beds.ac.uk/10.3390/g8030025

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