Envelopes and Geometrical Covers of Side-Payment Games and Their Market Representations

@article{Artzner1986EnvelopesAG,
  title={Envelopes and Geometrical Covers of Side-Payment Games and Their Market Representations},
  author={Philippe Artzner and Claude d'Aspremont and Louis-Andr{\'e} G{\'e}rard-Varet},
  journal={Math. Oper. Res.},
  year={1986},
  volume={11},
  pages={19-29}
}
This paper deals with issues concerning the core as a solution concept for games in coalitional form as well as the use of these games in representing economies of a certain formal type. Side-payment games are imbedded in the more general class of no-side-payment games. It is shown that to a given side-payment game having an empty core one may associate two different no-side-payment games with the same nonempty core: the “envelope” and the “geometrical cover.” The discrepancy is explained in… 
View via Publisher
hal.science
1 Citations

One Citation

Semifuzzy games

References

SHOWING 1-10 OF 10 REFERENCES

A characterization of polyhedral market games

The class of games without side payments obtainable from markets having finitely many commodities and continuous concave utility functions is considered. It is first shown that each of these…

On games without side payments arising from a general class of markets

Competitive outcomes in the cores of market games

The competitive outcomes of an economic system are known, under quite general conditions, always to lie in the core of the associated cooperative game. It is shown here that every “market game”…

Cooperative Fuzzy Games

  • J. Aubin
  • Economics, Computer Science
    Math. Oper. Res.
  • 1981
We derive versions of known results dealing with core, equilibria and Shapley-values of cooperative games in the case of cooperative fuzzy games, i.e., games defined on fuzzy subsets of the set of n…

The Core of an N Person Game

THE PROBLEMS of distribution in an economic system may be analysed either by means of the behavioral assumptions of a competitive model or by the more flexible techniques of n person game theory. In…

Edgeworth exchange and general equilibrium

  • Yale Economic Essays,
  • 1964

Market representations of $n$-person games

On balanced sets and cores

can therefore consider the net trade Rader equivalent of E. In particular, given a restricted direct market R v , one obtains the n-agent net trade Rader equivalent

    Généralisation de la notion de fonction caractéristique dans un jeu

    • Mimeo , CEPREMAP , Mars 1971 .
    • 1971