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 …

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 …

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 heuristic procedure for computing the nucleolus

F Perea, J Puerto - Computers & Operations Research, 2019 - Elsevier
This paper introduces a row and column generation algorithm for finding the nucleolus,
based on a linear programming model proposed in an earlier research. Since this approach …

The complexity of the nucleolus in compact games

G Greco, E Malizia, L Palopoli, F Scarcello - ACM Transactions on …, 2015 - dl.acm.org
The nucleolus is a well-known solution concept for coalitional games to fairly distribute the
total available worth among the players. The nucleolus is known to be NP-hard to compute …

Computing the nucleolus of matching, cover and clique games

N Chen, P Lu, H Zhang - Proceedings of the AAAI Conference on …, 2012 - ojs.aaai.org
In cooperative games, a key question is to find a division of payoffs to coalition members in a
fair manner. Nucleolus is one of such solution concepts that provides a stable solution for …

A note on the Shapley value for airport cost pooling game

D Hou, H Sun, P Sun, T Driessen - Games and economic behavior, 2018 - Elsevier
The main goal of this paper is two-fold. First, we introduce the so-called airport cost pooling
game, which is a generalization of the well-known class of airport game (Littlechild and …

A framework for computing the nucleolus via dynamic programming

J Koenemann, J Toth - ACM Transactions on Economics and …, 2023 - dl.acm.org
This article defines a general class of cooperative games for which the nucleolus is
efficiently computable. This class includes new members for which the complexity of …

An axiomatic characterization of the Baker-Thompson rule

V Fragnelli, ME Marina - Economics Letters, 2010 - Elsevier
An axiomatic characterization of the Baker-Thompson rule - ScienceDirect Skip to main
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The nucleolus, the kernel, and the bargaining set: An update

E Iñarra, R Serrano, KI Shimomura - Revue économique, 2020 - cairn.info
The Nucleolus, the Kernel, and the Bargaining Set: An Update | Cairn.info CAIRN.INFO :
Matières à réflexion CAIRN.INFO : Matières à réflexion search search Recherche avancée …