Monotonicity of the core-center of the airport game

Julio González-Díaz, Miguel Mirás Calvo (), Carmen Sandomingo and Estela Rodríguez

TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, 2015, vol. 23, issue 3, 773-798

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. Copyright Sociedad de Estadística e Investigación Operativa 2015

Keywords: Cooperative TU games; Monotonicity; Core; Core-center; Airport games; 91A12 (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (4)

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DOI: 10.1007/s11750-014-0358-4

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