Skip to main content
Log in

Conflict individual-Pareto equilibria

  • Control Theory
  • Published:
Differential Equations Aims and scope Submit manuscript

Abstract

We suggest a rather universal notion of equilibrium that has the properties of a conflict equilibrium and the Pareto optimality and contains, as special cases, numerous known notions of efficiency and equilibrium. Its various strengthenings are also considered.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Podinovskii, V.V. and Nogin, V.D., Pareto-optimal’nye resheniya mnogokriterial’nykh zadach (Pareto-Optimal Solutions of Multicriteria Problems), Moscow: Nauka, 1982.

    Google Scholar 

  2. Smol’yakov, E.R., Teoriya antogonizmov i differentsial’nye igry (Theory of Conflicts and Differential Games), Moscow: Editorial URSS, 2000.

    Google Scholar 

  3. Smol’yakov, E.R., Teoriya konfliktnykh ravnovesii (Theory of Conflict Equilibria), Moscow, 2005.

  4. Warga, J., Optimal Control of Differential and Functional Equations, New York: Academic, 1972. Translated under the title Optimal’noe upravlenie differentsial’nymi i funktsional’nymi uravneniyami, Moscow: Nauka, 1977.

    MATH  Google Scholar 

  5. Smol’yakov, E.R., A Theory of Dynamic Conflict Problems That Takes Extraneous Interests into Account, Differ. Uravn., 2005, vol. 41, no. 11, pp. 1540–1549.

    MathSciNet  Google Scholar 

  6. Kurzhanskii, A.B., Upravlenie i nablyudenie v usloviyakh neopredelennosti (Control and Observation under Conditions of Indeterminacy), Moscow: Nauka, 1977.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Original Russian Text © E.R. Smol’yakov, 2010, published in Differentsial’nye Uravneniya, 2010, Vol. 46, No. 1, pp. 139–145.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Smol’yakov, E.R. Conflict individual-Pareto equilibria. Diff Equat 46, 142–149 (2010). https://doi.org/10.1134/S0012266110010155

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0012266110010155

Keywords

Navigation