Skip to main content
SpringerLink
Log in

Discrete noiseless duel with a skewsymmetric payoff function on the unit square for models of socioeconomic competitive processes with a finite number of pure strategies

  • Published:
Cybernetics and Systems Analysis Aims and scope

Abstract

A discrete noiseless duel is defined on the unit square; each player in the duel has a finite number of pure strategies uniformly distributed on the unit segment. The theorem on the existence of individual solutions of the discrete noiseless duel in pure strategies is proved. The construction of a program procedure for solving the discrete noiseless duel is presented.

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

Access this article

Log in via an institution

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. L. A. Petrosyan, N. A. Zenkevich, and E. A. Semina, Game Theory: A Textbook for Universities [in Russian], Vysshaya Shkola and Knizhnyi Dom “Universitet,” Moscow (1998).

  2. A. A. Vasin and V. V. Morozov, An Introduction to Game Theory with Applications to Economy: A Manual [in Russian], Moscow (2003), http://turbobit.net/cokbjjb1cl64.html.

  3. Y. Teraoka, “A single bullet duel with uncertain information available to the duelists,” Bull. Math. Statist., No. 18, 69–80 (1979).

  4. Y. Teraoka, “A two-person game of timing with random arrival time of the object,” Math. Japonica, No. 24, 427–438 (1979).

  5. N. N. Vorob’ev, Game Theory for Economists-Cyberneticians [in Russian], Nauka, Moscow (1985).

    Google Scholar 

  6. G. Owen, Game Theory [Russian translation], Editorial URSS, Moscow (2004).

    Google Scholar 

  7. V. V. Romanuke, “Modelling the entry of two competitor companies into a market with the help of a noiseless duel in MATLAB 7.0.1,” Visnyk Khmelnits. Nats. Un-tu, Ekonom. Nauky, 2, No. 3, 233–238 (2009).

  8. V. V. Romanuke, “Resolution of a pursuer-evader system for exponential probability of annihilating the evader by the pursuer,” Vest. NTU “KhPI,” Tematich. Vyp.: Informatika and Modelirovanie, No. 13, 138–149 (2009).

  9. V. V. Romanuke, “A method for realizing the optimality principle in matrix games without a saddle point,” Vest. NTU “KhPI,” Tematich. Vyp.: Informatika and Modelirovanie, No. 49, 146–154 (2008).

  10. V. V. Romanuke, “A method for realizing optimal mixed strategies in a matrix game with the empty set of saddle points in pure strategies with a known number of game plays,” Naukovi Visti NTUU “KPI,” No. 2, 45–52 (2009).

Download references

Author information

Authors and Affiliations

  1. Khmelnytskyi National University, Khmelnytskyi, Ukraine

    V. V. Romanuke

Authors
  1. V. V. Romanuke
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to V. V. Romanuke.

Additional information

Translated from Kibernetika i Sistemnyi Analiz, No. 5, pp. 170–179, September–October 2011.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Romanuke, V.V. Discrete noiseless duel with a skewsymmetric payoff function on the unit square for models of socioeconomic competitive processes with a finite number of pure strategies. Cybern Syst Anal 47, 818–826 (2011). https://doi.org/10.1007/s10559-011-9361-z

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10559-011-9361-z

Keywords

Search

Navigation