On the nucleolus of 2 x 2 assignment games

We provide explicit formulas for the nucleolus of an arbitrary assignment game with two buyers and two sellers. Five different cases are analyzed depending on the entries of the assignment matrix. We extend the results to the case of 2xm or mx2 assignment games.

Bibliographic Details
Authors: Martínez de Albéniz, F. Javier, Rafels, Carles, Ybern, Neus
Format: article
Status:Published version
Publication Date:2013
Country:España
Institution:Universidad de Barcelona
Repository:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/102827
Online Access:https://hdl.handle.net/2445/102827
Access Level:Open access
Keyword:Teoria de jocs
Assignació de recursos
Matemàtica financera
Models matemàtics
Estudis de viabilitat
Game theory
Resource allocation
Business mathematics
Mathematical models
Feasibility studies
Description
Summary:We provide explicit formulas for the nucleolus of an arbitrary assignment game with two buyers and two sellers. Five different cases are analyzed depending on the entries of the assignment matrix. We extend the results to the case of 2xm or mx2 assignment games.