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Meertens, M.; Potters, J. - In: Mathematical Methods of Operations Research 64 (2006) 2, pp. 363-382

algorithm for calculating the nucleolus. Copyright Springer-Verlag 2006 …

Persistent link: https://www.econbiz.de/10010949969

The nucleolus and the core-center of multi-sided Böhm-Bawerk assignment markets

Tejada, Oriol; Núñez, Marina - In: Mathematical Methods of Operations Research 75 (2012) 2, pp. 199-220

We prove that both the nucleolus and the core-center, i.e., the mass center of the core, of an m-sided Böhm …-Bawerk assignment market can be respectively computed from the nucleolus and the core-center of a convex game defined on the set of m … agents but one need to be taken into account. All these results simplify the computation of the nucleolus and the core …

Persistent link: https://www.econbiz.de/10010999651

Sequencing situations with Just-in-Time arrival, and related games

Lohmann, Edwin; Borm, Peter; Slikker, Marco - In: Mathematical Methods of Operations Research 80 (2014) 3, pp. 285-305

corresponding sequencing game is defined followed by an analysis of a context-specific rule that leads to core elements of this game …

Persistent link: https://www.econbiz.de/10011152072

On the properties of solutions for NTU communication situations<Superscript>1</Superscript>

Casas-Méndez, Balbina; Prada-Sánchez, José Manuel - In: Mathematical Methods of Operations Research 58 (2003) 3, pp. 417-439

modifications of the Shapley value. We axiomatically characterize these two solutions and study their relation to the strong core …

Persistent link: https://www.econbiz.de/10010999560

On the core of a class of location games

Puerto, Justo; Garcı´a-Jurado, Ignacio; Fernández, … - In: Mathematical Methods of Operations Research 54 (2001) 3, pp. 373-385

Ausgehend von kontinuierlichen 1-Standortproblemen wird in diesem Paper eine neue Klasse von kostenbasierten TU-Spielen eingeführt. Es werden einige hinreichende Bedingungen präsentiert unter denen ein Spiel in dieser Klasse einen nicht-leeren Kern hat. Weiterhin werden Zuordnungsregeln für...

Persistent link: https://www.econbiz.de/10010999629

Resource allocation games: a compromise stable extension of bankruptcy games

Grundel, Soesja; Borm, Peter; Hamers, Herbert - In: Mathematical Methods of Operations Research 78 (2013) 2, pp. 149-169

maintained in general. Moreover, an explicit expression for the nucleolus of these games is provided. Copyright Springer …

Persistent link: https://www.econbiz.de/10010999570

Note on the computational complexity of least core concepts for min-cost spanning tree games

Faigle, Ulrich; Kern, Walter; Paulusma, Daniël - In: Mathematical Methods of Operations Research 52 (2000) 1, pp. 23-38

Various least core concepts including the classical least core of cooperative games are discussed. By a reduction from … spanning tree games. As a consequence, computing the nucleolus, the nucleon and the per-capita nucleolus of minimum cost …

Persistent link: https://www.econbiz.de/10010999970

The prenucleolus and the prekernel for games with communication structures

Khmelnitskaya, Anna; Sudhölter, Peter - In: Mathematical Methods of Operations Research 78 (2013) 2, pp. 285-299

It is well-known that the prekernel on the class of TU games is uniquely determined by non-emptiness, Pareto efficiency (EFF), covariance under strategic equivalence (COV), the equal treatment property, the reduced game property (RGP), and its converse. We show that the prekernel on the class of...

Persistent link: https://www.econbiz.de/10010999975

Communication situations with asymmetric players

Slikker, Marco; Nouweland, Anne van den - In: Mathematical Methods of Operations Research 52 (2000) 1, pp. 39-56

In this paper we study situations where asymmetric players have restricted possibilities for communication. Extreme asymmetry results in a hierarchy among the players. We introduce a class of allocation rules for these situations inspired by the Myerson value (Myerson (1977)) and Shapley values...

Persistent link: https://www.econbiz.de/10010949985

Monotonic allocation schemes in clan games

Voorneveld, Mark; Tijs, Stef; Grahn, Sofia - In: Mathematical Methods of Operations Research 56 (2003) 3, pp. 439-449

larger. Each core element of a total clan game can be extended to both a population monotonic and a bi-monotonic allocation … scheme. In total clan games where the clan consists of a single member (the so-called big boss) the use of the nucleolus as …

Persistent link: https://www.econbiz.de/10010949988