The nucleolus and the corecenter of multisided BöhmBawerk assignment markets
 Oriol Tejada,
 Marina Núñez
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We prove that both the nucleolus and the corecenter, i.e., the mass center of the core, of an msided BöhmBawerk assignment market can be respectively computed from the nucleolus and the corecenter of a convex game defined on the set of m sectors. What is more, in the calculus of the nucleolus of this latter game only singletons and coalitions containing all agents but one need to be taken into account. All these results simplify the computation of the nucleolus and the corecenter of a multisided BöhmBawerk assignment market with a large number of agents. As a consequence we can show that, contrary to the bilateral case, for multisided BöhmBawerk assignment markets the nucleolus and the corecenter do not coincide in general.
 Davis, M, Maschler, M (1965) The kernel of a cooperative game. Nav Res Logist Q 12: pp. 223259 CrossRef
 Federer, H (1969) Geometric measure theory. Springer, New York
 GonzálezDíaz, J, SánchezRodríguez, E (2007) A natural selection from the core of a TU game: the corecenter. Int J Game Theory 36: pp. 2746 CrossRef
 Huberman, G (1980) The nucleolus and the essential coalitions. Anal Optim Syst Lect Notes Control Inf Sci 28: pp. 417422
 Kaneko, M, Wooders, M (1982) Cores of partitioning games. Math Soc Sci 3: pp. 313327 CrossRef
 Maschler, M, Peleg, B, Shapley, S (1979) Geometric properties of the kernel, nucleolus, and related solution concepts. Math Oper Res 4: pp. 303338 CrossRef
 Núñez, M (2004) A note on the nucleolus and the kernel of the assignment game. Int J Game Theory 33: pp. 5565 CrossRef
 Núñez, M, Rafels, C (2005) The BöhmBawerk horse market: a cooperative analysis. Int J Game Theory 33: pp. 421430 CrossRef
 Quint, T (1991) The core of an msided assignment game. Games Econ Behav 3: pp. 487503 CrossRef
 Schmeidler, D (1969) The nucleolus of a characteristic function game. SIAM J Appl Math 17: pp. 11631170 CrossRef
 Shapley, LS (1972) Cores of convex games. Int J Game Theory 1: pp. 1126 CrossRef
 Shapley, LS, Shubik, M (1972) The assignment game I: the core. Int J Game Theory 1: pp. 111130 CrossRef
 Sherstyuk, K (1999) Multisided matching games with complementarities. Int J Game Theory 28: pp. 489509 CrossRef
 Solymosi, T, Raghavan, TES (1994) An algorithm for finding the nucleolus of assignment games. Int J Game Theory 23: pp. 119143 CrossRef
 Solymosi, T, Raghavan, TES (2001) Assignment games with stable core. Int J Game Theory 30: pp. 177185 CrossRef
 Stuart, HW (1997) The supplierfirmbuyer game and its msided generalization. Math Soc Sci 34: pp. 2127 CrossRef
 Tejada, O, Rafels, C (2010) Symmetrically multilateralbargained allocations in multisided assigment markets. Int J Game Theory 39: pp. 249258 CrossRef
 Tejada O (2010) Multisided BöhmBawerk assignment markets: the core (forthcoming in TOP). doi:10.1007/s1175001001708
 Von BöhmBawerk E (1923) Positive theory of capital (trans: Smart W). Steckert GE, New York (original publication 1891)
 Title
 The nucleolus and the corecenter of multisided BöhmBawerk assignment markets
 Journal

Mathematical Methods of Operations Research
Volume 75, Issue 2 , pp 199220
 Cover Date
 20120401
 DOI
 10.1007/s001860120381x
 Print ISSN
 14322994
 Online ISSN
 14325217
 Publisher
 SpringerVerlag
 Additional Links
 Topics
 Keywords

 Multisided assignment games
 Core
 Nucleolus
 Corecenter
 Industry Sectors
 Authors

 Oriol Tejada ^{(1)} ^{(2)}
 Marina Núñez ^{(1)}
 Author Affiliations

 1. Department of Actuarial, Financial and Economic Mathematics, Universitat de Barcelona, Av. Diagonal, 690, 08034, Barcelona, Spain
 2. CERETH, Center of Economic Research, ETH Zurich, Zürichbergstrasse 18, 8092, Zürich, Switzerland