Social Choice and Welfare

, Volume 34, Issue 2, pp 295–313 | Cite as

Two-sided market situations with existing contracts

Original Paper
  • 112 Downloads

Abstract

The main aim of this paper is to study two-sided market situations where there are existing contracts which are exogenously given. These existing contracts could come from a previous competitive period or from any other circumstances. In any case, all these existing contracts provide an initial feasible solution for the two-sided market situation, perhaps non optimal in the sense the agents do not obtain jointly the maximum profit that they could get by cooperation. Therefore, the agents could be interested in improving their results through cooperation but taking into account the existing bilateral contracts. Thus, taking as starting point what each agent has got with the existing contracts, they have to distribute among themselves the extra amount that they could get by cooperation. For this kind of cooperative situation we propose different models and prove some results about the nonemptiness of the core and its relationship with the Owen set.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Borm P, Hamers H, Hendrickx R (2001) Operations research games: a survey. TOP 9: 139–216CrossRefGoogle Scholar
  2. Davis M, Maschler M (1965) The kernel of a cooperative game. Nav Res Logist Quart 12: 223–259CrossRefGoogle Scholar
  3. Llorca N, Molina E, Pulido M, Sánchez-Soriano J (2004) On the Owen set of transportation situations. Theory Decis 56: 215–228CrossRefGoogle Scholar
  4. Owen G (1975) The core of linear production games. Math Program 9: 358–370CrossRefGoogle Scholar
  5. Sánchez-Soriano J (2003) The pairwise-egalitarian solution. Eur J Oper Res 150: 220–231CrossRefGoogle Scholar
  6. Sánchez-Soriano J (2006) Pairwise solutions and the core of transportation situations. Eur J Oper Res 175: 101–110CrossRefGoogle Scholar
  7. Sánchez-Soriano J, García-Jurado I, López-Cerdá MA (2001) On the core of transportation games. Math Soc Sci 41: 215–225CrossRefGoogle Scholar
  8. Shapley LS, Shubik M (1972) The assignment game I: the Core. Int J Game Theory 1: 111–130CrossRefGoogle Scholar
  9. Thompson GL (1980) Computing the core of a market game. In: Fiacco, AV, Kortanek KO (eds) Extremal methods and systems analysis. Lecture notes in Econom. and Math. Systems, vol. 174. Springer, Berlin, pp 312–334Google Scholar
  10. von Böhm-Bawerk E (1923) Positive theory of capital (translated by W. Smart). Steckert GE, New York (original publication 1891)Google Scholar
  11. van Gellekom JRG, Potters JAM, Reijnierse JH, Engel MC, Tijs SH (2000) Characterization of the Owen set of linear production processes. Games Econ Behav 32: 139–156CrossRefGoogle Scholar

Copyright information

© Springer-Verlag 2009

Authors and Affiliations

  1. 1.CIO and Departamento de Estadística, Matemáticas e InformáticaUniversidad Miguel Hernández de ElcheElcheSpain
  2. 2.Dipartimento di Scienze e Tecnologie AvanzateUniversità del Piemonte OrientaleAlessandriaItaly

Personalised recommendations