Facultade de Fisioterapia

Monotonicity of the core-center of the airport game

González-Díaz, Julio; Mirás-Calvo, Miguel Á.; Quinteiro-Sandomingo, Carmen; Sánchez Rodríguez, Maria Estela
Abstract:
One of the main goals of this paper is to improve the understanding of the way in which the core of a specific cooperative game, the airport game (Littlechild and Owen, Manag Sci 20:370–372, 1973), responds to monotonicity properties. Since such properties are defined for single-valued allocation rules, we use the core-center (González-Díaz and Sánchez-Rodríguez, Int J Game Theory 36:27–46, 2007) as a proxy for the core. This is natural, since the core-center is the center of gravity of the core and its behavior with respect to a given property can be interpreted as the “average behavior” of the core. We also introduce the lower-cost increasing monotonicity and higher-cost decreasing monotonicity properties that reflect whether a variation in a particular agent’s cost is beneficial to the other agents
Year:
2015
Type of Publication:
Article
Keywords:
Cooperative TU games; Monotonicity; Core; Core-center; Airport games
Journal:
TOP
Volume:
23
Number:
3
Pages:
773-798
Month:
October
DOI:
http://dx.doi.org/10.1007/s11750-014-0358-4
Hits: 1564