Exploring multi-potential games in strategic form: A graph theoretic approach

A Liu, H Li, L Wang - Applied Mathematics and Computation, 2024 - Elsevier
Abstract Multi-potential games (MPGs), wherein the facility cost functions of players are
distinct, significantly expand the scope of traditional potential games. This paper explores …

An equilibrium concept for multi-network formation games

W Walsh - Available at SSRN 4017246, 2021 - papers.ssrn.com
A multi-network, or multi-layer network, is a set of nodes that can be connected via multiple
types of links. In this paper, I first define a notion of pairwise stability for multi-networks that is …

Resource graph games: A compact representation for games with structured strategy spaces

A Jiang, H Chan, K Leyton-Brown - … of the AAAI Conference on Artificial …, 2017 - ojs.aaai.org
In many real-world systems, strategic agents' decisions can be understood as complex-ie,
consisting of multiple sub-decisions-and hence can give rise to an exponential number of …

United We Fall: On the Nash Equilibria of Multiplex and Multilayer Network Games

R Ebrahimi, P Naghizadeh - arXiv preprint arXiv:2402.06108, 2024 - arxiv.org
Network games provide a framework to study strategic decision making processes that are
governed by structured interdependencies among agents. However, existing models do not …

Expected values for variable network games

S Chakrabarti, L Gogoi, RP Gilles, S Borkotokey… - Annals of Operations …, 2024 - Springer
A network game assigns a level of collectively generated wealth to every network that can
form on a given set of players. A variable network game combines a network game with a …

Graphical potential games

LE Ortiz - arXiv preprint arXiv:1505.01539, 2015 - arxiv.org
Potential games, originally introduced in the early 1990's by Lloyd Shapley, the 2012 Nobel
Laureate in Economics, and his colleague Dov Monderer, are a very important class of …

Generalized biform games

VR Cappelli, O Chatain - HEC Paris Research Paper No. SPE …, 2023 - papers.ssrn.com
How to extend the use of value-based strategy models to situations with large quasi-rents
shared among multiple actors, such as ecosystems? How to consider how players …

[HTML][HTML] Graphs inducing totally balanced and submodular Chinese postman games

MJ Albizuri, H Hamers - Discrete Applied Mathematics, 2014 - Elsevier
A Chinese postman (CP) game is induced by a weighted undirected, connected graph in
which the edges are identified as players and a vertex is chosen as post-office location …

Utility evaluation based on one-to-n mapping in the prisoner's dilemma game for interdependent networks

J Wang, W Lu, L Liu, L Li, C Xia - PloS one, 2016 - journals.plos.org
In the field of evolutionary game theory, network reciprocity has become an important means
to promote the level of promotion within the population system. Recently, the …

Equilibrium analysis of game on heterogeneous networks with coupled activities

JB Seby, C Harvey, S Amin - 2022 58th Annual Allerton …, 2022 - ieeexplore.ieee.org
We study a game where agents interacting over a network engage in two coupled activities
and have to strategically decide their production for each of these activities. Agent …