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On Concepts for Solving Two-Person Games Which Model the Verification Problem in Arms Control

  • J. Fichtner
Part of the NATO ASI Series book series (volume 26)

Abstract

Arms control agreements which include non-trivial verification procedures whose details are accessible to the general public are of special interest to the mathematically oriented analyst. This is typically the case with multilateral treaties under which verification is often performed by an international agency or by supranational commissions or institutions. Bilateral agreements often rely on national technical means or intelligence services. It is therefore extremely difficult to get sufficiently detailed information on these treaties as inputs to mathematical modelling.

Keywords

False Alarm Solution Concept Matrix Game Sequential Game Verification Problem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Avenhaus, R. (1986): Safeguards Systems Analysis - with applications to nuclear material safeguards and other inspection problems. New York, LondonGoogle Scholar
  2. Avenhaus, R., Frick, H. (1977): Analyse von Fehlalarmen in Überwachungssystemen mit Hilfe von Zweipersonen Nichtnullsummenspielen. ( Analysis of False Alarms in Inspection Systems with the Help of Two-Person Non-Zero-Sum Games ). Operations Research Verfahren XVI, pp. 629–639Google Scholar
  3. Avenhaus, R., Frick, H. (1979): Vergleich zweier Verfahren der Materialbilanzierung. ( Comparison of two Methods of Material Accountability ). Operations Research Verfahren XXX, pp. 187–191Google Scholar
  4. Bierlein, D. (1969): Direkte Überwachungssysteme. ( Direct Inspection Systems ). Operations Research Verfahren VI, pp. 57–68Google Scholar
  5. Bierlein, D. (1970): Auf Bilanzen und Inventuren basierende Safeguards-Systeme. ( Safeguards Systems Based on Material Balances and Inventories ). Operations Research Verfahren VIII, pp. 36–43Google Scholar
  6. Bierlein, D. (1983): Game Theoretical Models of Safeguarding Different Types of Illegal Activities. Proceedings of the 4th Formator-Symposium on Mathematical Methods of the Analysis of Large-Scale Systems, Czechosl. Acad. Sc.,PragueGoogle Scholar
  7. Brams, S.J. (1985): Superpower Games. Yale University Press, New Haven, LondonGoogle Scholar
  8. Dresher, M. (1962): A Sampling Inspection Problem in Arms Control Agreements: A Game Theoretic Analysis. Memorandum RM-2972-ARPA, The Rand CorporationGoogle Scholar
  9. Fichtner, J. (1985): Statistische Tests zur Abschreckung von Fehlverhalten - Eine mathematische Analyse von Überwachungssystemen mit Anwendungen. (Statistical Tests for Deterrence from Illegal Behaviour - A Mathematical Analysis of Safeguards Systems with Applications). Dissertation, Universität der Bundeswehr MünchenGoogle Scholar
  10. Friedman, J.W. (1977): Oligopoly and the Theory of Games. AmsterdamMATHGoogle Scholar
  11. Goldman, A.J., Pearl, M.H. (1976): The Dependence of Inspector-System Performance on Levels of Penalties and Inspection Resources. Journal of Research of the National Bureau of Standards -B. 80 B, N. 2, pp. 189–236MathSciNetGoogle Scholar
  12. Höpfinger, E. (1974): Zuverlässige Inspektionsstrategien. (Reliable Inspection Strategies). Z. Wahrscheinlichkeitstheorie verw. Gebiete 31, pp. 35–46CrossRefMATHGoogle Scholar
  13. Kuhn, H.W. (1963): Recursive Inspection Games, Applications of Statistical Methology to Arms Control and Disarmament. A United States Arms Control and Disarmament Agency Report under Contract ADCA/ST-3, pp. 169–182Google Scholar
  14. Maschler, M. (1966): A Price Leadership Method for Solving the Inspector’s Non-Constant-Sum Game. Nav. Res. Logistics Quart. 13, pp. 11–33CrossRefMATHGoogle Scholar
  15. Maschler, M. (1967): The Inspector’s Non-Constant-Sum Game. Its Dependence on a System of Detectors. Nav. Res. Logistics Quart. 14, pp. 275–290CrossRefMATHGoogle Scholar
  16. Shubik, M. (1980): Market Structure and Behaviour. Cambridge, MA, LondonGoogle Scholar
  17. Stackelberg, H. von (1934): Marktform und Gleichgewicht. ( Market Form and Equilibrium ). BerlinGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1986

Authors and Affiliations

  • J. Fichtner
    • 1
  1. 1.Federal Armed Forces University MunichFederal Republic of Germany

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