An introductory course on mathematical game theory

J González-Dıaz, I Garcıa-Jurado… - Graduate studies in …, 2010 - ams.org
Page 109. Proof of Kuhn Theorem. There is an abuse of notation in the definition of
expression si (ai| x). In order to prevent some confusion it may cause, the second and third …

Neural payoff machines: Predicting fair and stable payoff allocations among team members

D Cornelisse, T Rood, Y Bachrach… - Advances in …, 2022 - proceedings.neurips.cc
In many multi-agent settings, participants can form teams to achieve collective outcomes that
may far surpass their individual capabilities. Measuring the relative contributions of agents …

Transversality of the Shapley value

S Moretti, F Patrone - Top, 2008 - Springer
Transversality of the Shapley value Page 1 Top (2008) 16: 1–41 DOI 10.1007/s11750-008-0044-5
INVITED PAPER Transversality of the Shapley value Stefano Moretti · Fioravante Patrone …

An overview on game theory applications to engineering

J Sanchez-Soriano - International Game Theory Review, 2013 - World Scientific
In this paper, we review some of the literature in which different applications to engineering
problems are analyzed from a game-theoretic point of view. The revision is far from …

Modification of the Banzhaf value for games with a coalition structure

JM Alonso-Meijide, MG Fiestras-Janeiro - Annals of Operations Research, 2002 - Springer
In this paper we introduce a new coalitional value in the context of TU games with an a priori
system of unions, which it is called the symmetric coalitional Banzhaf value. This value …

Analyzing the Zerkani Network with the Owen Value

E Algaba, A Prieto, A Saavedra-Nieves… - Advances in Collective …, 2023 - Springer
This paper introduces a new centrality measure based on the Owen value to rank members
in covert networks. In particular, we consider the Zerkani network responsible for the Paris …

Cost allocation and airport problems

W Thomson - Mathematical Social Sciences, 2024 - Elsevier
We consider the problem of dividing the cost of a facility when agents can be ordered in
terms of the needs they have for it, and accommodating an agent with a certain need allows …

A comparative axiomatic characterization of the Banzhaf–Owen coalitional value

JM Alonso-Meijide, F Carreras… - Decision Support …, 2007 - Elsevier
A compact axiomatic characterization of the modified Banzhaf value for games with a
coalition structure (Banzhaf–Owen value, for short) is provided. The axiomatic system used …

Cooperative games and cost allocation problems

MG Fiestras-Janeiro, I García-Jurado, MA Mosquera - Top, 2011 - Springer
The objective of this paper is to provide a general view of the literature of applications of
transferable utility cooperative games to cost allocation problems. This literature is so large …

On stratified sampling for estimating coalitional values

A Saavedra-Nieves - Annals of Operations Research, 2023 - Springer
This paper addresses two sampling methodologies to respectively estimate the Owen value
and the Banzhaf–Owen value for TU-games with a priori unions. Both proposals are based …