Game theory provides valuable tools to examine expert multi-agent systems. In a cooperative game, collaboration among agents leads to better outcomes. The most important solution for such games is the ...
In this paper, we analyze bankruptcy problems with nontransferable utility (NTU) from a game theoretical perspective by redefining corresponding NTU-bankruptcy games in a tailor-made way. It is shown that ...
The aim of this study was to identify the differences between seasons in men´s water polo regular competition by analysing the changes of game-related statistics. The sample comprised 88 games from the ...
In this paper we deal with production situations where a cap or limit to the amount of greenhouse gas emissions permitted is imposed. Fixing a tax for each ton of pollutant emitted is also considered. ...
In this paper we introduce a procedure based on sampling to estimate the Owen value of a cooperative game. It is an adaptation of an analogous procedure for the estimation of the Shapley value, and it ...
We propose a generalization of simple games to partition function form games based on a monotonicity property that we define in this context. This property allows us to properly speak about minimal winning ...
n this paper we investigate some structural properties of the order on the set of embedded coalitions outlined in the paper de Clippel G. and R. Serrano (2008) Marginal Contributions and Externalities ...
Research question: The most common result in the analysis of efficiency in multisport competitions like the Olympic Games using the data envelopment analysis (DEA) is a ranking of the participating countries. ...
In this paper we deal with linear production situations in which there is a limited common-pool resource, managed by an external agent. The profit that a producer can attain depends on the amount of common-pool ...
We address the problem of extending the Shapley–Shubik index to the class of simple games with externalities introduced in Alonso-Meijide et al. (2017). On the one hand, we provide bounds for any efficient, ...
The aim of the present study was to identify groups of offensive performance indicators which best discriminated between a match score (favourable, balanced or unfavourable) in water polo. The sample comprised ...
In a cooperative game with transferable utility, it is usually assumed that all coalitions are equally feasible. However, if we deal with cooperative games with coalition configuration, only some coalitions ...
An approach to define a rule for an airport problem is to associate to each problem a cooperative game, an airport game, and using game theory to come out with a solution. In this paper, we study the rule ...
This paper discusses games where cooperation is restricted by a hierarchical structure. The model assumes that there is a hierarchy between certain coalitions given by a partition. Face games (González-Díaz ...
In this paper we analyze a situation in which several firms deal with inventory problems concerning the same type of product. We consider that each firm uses its limited capacity warehouse for storing ...
In this paper, we present methods to compute Banzhaf-Coleman and Shapley-Shubik power indices for weighted majority games when some players are incompatible. We use the so-called generating functions as ...
This paper extends the notion of individual minimal rights for a transferable utility game (TU-game) to coalitional minimal rights using minimal balanced families of a specific type, thus defining a corresponding ...
This paper extends the notion of individual minimal rights for a transferable utility
game (TU-game) to coalitional minimal rights using minimal balanced families of a specific type, thus defining a corresponding ...
This paper introduces a new class of games, highway games, which arise from situations where there is a common resource that agents will jointly use. That resource is an ordered set of several indivisible ...
The objective of this paper is to provide a general view of the literature of applications of transferable utility cooperative games to cost allocation problems. This literature is so large that we concentrate ...
In this note we deal with inventory games as defined in Meca et al. (Math. Methods Oper. Res. 57:483–491, 2003). In that context we introduce the property of immunity to coalitional manipulation, and demonstrate ...
In a proportionate flow shop problem several jobs have to be processed through a fixed sequence of machines and the processing time of each job is equal on all machines. By identifying jobs with agents ...