Skip to main content

Cooperative Games

  • Living reference work entry
  • First Online:
Book cover Encyclopedia of Complexity and Systems Science
  • 101 Accesses

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

Bibliography

Primary Literature

  • Anderson RM (1978) An elementary core equivalence theorem. Econometrica 46:1483–1487

    Article  MathSciNet  MATH  Google Scholar 

  • Anderson RM (2008) Core convergence. In: Durlauff S, Blume L (eds) The new Palgrave dictionary of economics, 2nd edn. McMillan, London

    Google Scholar 

  • Aumann RJ (1964) Markets with a continuum of traders. Econometrica 32:39–50

    Article  MathSciNet  MATH  Google Scholar 

  • Aumann RJ (1975) Values of markets with a continuum of traders. Econometrica 43:611–646

    Article  MathSciNet  MATH  Google Scholar 

  • Aumann RJ (1985) An axiomatization of the non-transferable utility value. Econometrica 53:599–612

    Article  MathSciNet  MATH  Google Scholar 

  • Aumann RJ (1987) Game theory. In: Eatwell J, Milgate M, Newman P (eds) The new Palgrave dictionary of economics. Norton, New York

    Google Scholar 

  • Aumann RJ, Peleg B (1960) Von Neumann-Morgenstern solutions to cooperative games without side payments. Bull Am Math Soc 66:173–179

    Article  MATH  Google Scholar 

  • Aumann RJ, Shapley LS (1974) Values of non-atomic games. Princeton University Press, Princeton

    MATH  Google Scholar 

  • Bondareva ON (1963) Some applications of linear programming methods to the theory of cooperative games (in Russian). Problemy Kibernetiki 10(119):139

    MATH  Google Scholar 

  • de Clppel G, Peters H, Zank H (2004) Axiomatizing the Harsanyi solution, the symmetric egalitarian solution and the consistent solution for NTU-games. I J Game Theory 33:145–158

    Article  MathSciNet  MATH  Google Scholar 

  • Debreu G, Scarf H (1963) A limit theorem on the core of an economy. Int Econ Rev 4:235–246

    Article  MATH  Google Scholar 

  • Deng X, Papadimitriou CH (1994) On the complexity of cooperative solution concepts. Math Oper Res 19:257–266

    Article  MathSciNet  MATH  Google Scholar 

  • Edgeworth FY (1881) Mathematical Psychics. Kegan Paul Publishers, London. (reprinted in 2003) Newman P (ed) F. Y. Edgeworths Mathematical Psychics and Further Papers on Political Economy. Oxford University Press, Oxford

    MATH  Google Scholar 

  • Gillies DB (1959) Solutions to general non-zero-sum games. In: Tucker AW, Luce RD (eds) Contributions to the theory of games IV. Princeton University Press, Princeton, pp 47–85

    Google Scholar 

  • Gul F (1989) Bargaining foundations of Shapley value. Econometrica 57:81–95

    Article  MathSciNet  MATH  Google Scholar 

  • Harsanyi JC (1963) A simplified bargaining model for the n-person cooperative game. Int Econ Rev 4:194–220

    Article  MATH  Google Scholar 

  • Hart S (1985) An axiomatization of Harsanyi s non-transferable utility solution. Econometrica 53:1295–1314

    Article  MathSciNet  MATH  Google Scholar 

  • Hart S (2008) Shapley value. In: Durlauff S, Blume L (eds) The new Palgrave dictionary of economics, 2nd edn. McMillan, London

    Google Scholar 

  • Hart S, Mas-Colell A (1989) Potencial, value and consistency. Econometrica 57:589–614

    Article  MathSciNet  MATH  Google Scholar 

  • Hart S, Mas-Colell A (1996) Bargaining and value. Econometrica 64:357–380

    Article  MathSciNet  MATH  Google Scholar 

  • Krishna V, Serrano R (1995) Perfect equilibria of a model of n-person non-cooperative bargaining. I J Game Theory 24:259–272

    Article  MATH  Google Scholar 

  • Mas-Colell A (1988) Algunos comentarios sobre la teoria cooperativa de los juegos. Cuadernos Economicos 40:143–161

    Google Scholar 

  • Maschler M, Owen G (1992) The consistent Shapley value for games without side payments. In: Selten R (ed) Rational interaction: essays in honor of John Harsanyi Springer, New York

    Google Scholar 

  • Moldovanu B, Winter E (1995) Order independent equilibria. Games Econ Behav 9:21–34

    Article  MathSciNet  MATH  Google Scholar 

  • Nash JF (1953) Two person cooperative games. Econometrica 21:128–140

    Article  MathSciNet  MATH  Google Scholar 

  • Peleg B (1985) An axiomatization of the core of cooperative games without side payments. J Math Econ 14:203–214

    Article  ADS  MathSciNet  MATH  Google Scholar 

  • Peleg B (1986) On the reduced game property and its converse. I J Game Theory 15:187–200

    Article  MathSciNet  MATH  Google Scholar 

  • Pérez-Castrillo D (1994) Cooperative outcomes through non-cooperative games. Games Econ Behav 7:428–440

    Article  MATH  Google Scholar 

  • Pérez-Castrillo D, Wettstein D (2001) Bidding for the surplus: a non-cooperative approach to the Shapley value. J Econ Theory 100:274–294

    Article  MathSciNet  MATH  Google Scholar 

  • Perry M, Reny P (1994) A non-cooperative view of coalition formation and the core. Econometrica 62:795–817

    Article  MathSciNet  MATH  Google Scholar 

  • Roth AE (2002) The economist as engineer: game theory, experimentation and computation as tools for design economics. Econometrica 70:1341–1378

    Article  MATH  Google Scholar 

  • Scarf H (1967) The core of an N person game. Econometrica 38:50–69

    Article  MathSciNet  MATH  Google Scholar 

  • Serrano R (1995) A market to implement the core. J Econ Theory 67:285–294

    Article  MATH  Google Scholar 

  • Serrano R (2005) Fifty years of the Nash program, 1953–2003. Investigaciones Económicas 29:219–258

    Google Scholar 

  • Serrano R, Vohra R (1997) Non-cooperative implementation of the core. Soc Choice Welf 14:513–525

    Article  MathSciNet  MATH  Google Scholar 

  • Serrano R, Volij O (1998) Axiomatizations of neoclassical concepts for economies. J Math Econ 30:87–108

    Article  MathSciNet  MATH  Google Scholar 

  • Shapley LS (1953) A value for n-person games. In: Tucker AW, Luce RD (eds) Contributions to the theory of games II. Princeton University Press, Princeton, pp 307–317

    Google Scholar 

  • Shapley LS (1964) Values of large games VII: a general exchange economy with money. Research Memorandum 4248-PR RAND Corporation, Santa Monica

    Google Scholar 

  • Shapley LS (1967) On balanced sets and cores. Nav Res Logist Q 14:453–460

    Article  Google Scholar 

  • Shapley LS (1969) Utility comparison and the theory of games. In: La Décision: Agrégation et Dynamique des Ordres de Préférence. CNRS, Paris

    Google Scholar 

  • Shapley LS (1971) Cores of convex games. I J Game Theory 1:11–26

    Article  MathSciNet  MATH  Google Scholar 

  • von Neumann J, Morgenstern O (1944) Theory of games and economic behavior. Princeton University Press, Princeton

    MATH  Google Scholar 

  • Walras L (1874) Elements of pure economics, or the theory of social wealth. English edition: Jaffé W (ed) Reprinted in 1984 by Orion Editions, Philadelphia

    Google Scholar 

  • Winter E (1994) The demand commitment bargaining and snowballing of cooperation. Econ Theory 4:255–273

    Google Scholar 

  • Young HP (1985) Monotonic solutions of cooperative games. I J Game Theory 14:65–72

    Article  MathSciNet  MATH  Google Scholar 

Books and Reviews

  • Myerson RB (1991) Game theory: an analysis of conflict. Harvard University Press, Cambridge

    MATH  Google Scholar 

  • Osborne MJ, Rubinstein A (1994) A course in game theory. MIT Press, Cambridge

    MATH  Google Scholar 

  • Peleg B, Sudholter P (2003) Introduction to the theory of cooperative games, 2nd edn. Kluwer/Springer, Amsterdam/Berlin

    Google Scholar 

  • Roth AE, Sotomayor M (1990) Two-sided matching: a study in game-theoretic modeling and analysis. Cambridge University Press, Cambridge

    Book  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Roberto Serrano .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer Science+Business Media LLC

About this entry

Cite this entry

Serrano, R. (2017). Cooperative Games. In: Meyers, R. (eds) Encyclopedia of Complexity and Systems Science. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27737-5_98-2

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-27737-5_98-2

  • Received:

  • Accepted:

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-27737-5

  • Online ISBN: 978-3-642-27737-5

  • eBook Packages: Springer Reference Physics and AstronomyReference Module Physical and Materials ScienceReference Module Chemistry, Materials and Physics

Publish with us

Policies and ethics