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Games 2017, 8(3), 25; doi:10.3390/g8030025

Multi-Leader Multi-Follower Model with Aggregative Uncertainty

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
These authors contributed equally to this work.
*
Author to whom correspondence should be addressed.
Academic Editor: Mamoru Kaneko
Received: 28 April 2017 / Revised: 9 June 2017 / Accepted: 19 June 2017 / Published: 22 June 2017
View Full-Text   |   Download PDF [272 KB, uploaded 22 June 2017]

Abstract

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).

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

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