Convergence of the approximate cores to the aspiration core in partitioning games

The approximate core and the aspiration core are two non-empty solutions for cooperative games that have emerged in order to give an answer to cooperative games with an empty core. Although the approximate core and the aspiration core come from two different ideas, we show that both solutions are re...

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Bibliographic Details
Author: Arribillaga, Roberto Pablo
Format: article
Status:Published version
Publication Date:2015
Country:Argentina
Institution:Consejo Nacional de Investigaciones Científicas y Técnicas
Repository:CONICET Digital (CONICET)
Language:English
OAI Identifier:oai:ri.conicet.gov.ar:11336/60477
Online Access:http://hdl.handle.net/11336/60477
Access Level:Open access
Keyword:Approximate Core
Aspiration Core
Convergence
Core
Partitioning Games
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
Description
Summary:The approximate core and the aspiration core are two non-empty solutions for cooperative games that have emerged in order to give an answer to cooperative games with an empty core. Although the approximate core and the aspiration core come from two different ideas, we show that both solutions are related in a very interesting way in partitioning games (or superadditive games). In fact, we prove that the approximate core converges to the aspiration core in partitioning games (or superadditive games).