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Strategic Defense and Attack for Series and Parallel Reliability Systems: Comment

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  • Dan Kovenock
  • Brian Roberson

Abstract

Hausken (2008a) formulates a contest-theoretic model of the attack and defense of a network of targets. This note identi es a technical error that invalidates Hausken's characterization of Nash equilibrium for a substantial portion of the parameter space that he examines and provides necessary conditions for his solution to form a pure- strategy Nash equilibrium. Many of the existing results in the contest-theoretic liter- ature on the attack and defense of networks of targets rely upon Hausken's (2008a) characterization and require corresponding parameter restrictions. When these restric- tions are not met, the analysis of Clark and Konrad (2007) and Kovenock and Roberson (2010a) provides a foundation for constructing mixed-strategy Nash equilibria.

Suggested Citation

  • Dan Kovenock & Brian Roberson, 2010. "Strategic Defense and Attack for Series and Parallel Reliability Systems: Comment," Purdue University Economics Working Papers 1253, Purdue University, Department of Economics.
  • Handle: RePEc:pur:prukra:1253
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    References listed on IDEAS

    as
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    Citations

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    Cited by:

    1. Subhasish M. Chowdhury & Iryna Topolyan, 2013. "The Attack-and-Defence Group Contests," University of East Anglia Applied and Financial Economics Working Paper Series 049, School of Economics, University of East Anglia, Norwich, UK..
    2. Dan Kovenock & Brian Roberson & Roman M. Sheremeta, 2019. "The attack and defense of weakest-link networks," Public Choice, Springer, vol. 179(3), pages 175-194, June.
    3. Hausken, Kjell, 2010. "Strategic Defense and Attack for Series and Parallel Reliability Systems: Reply on Comment," MPRA Paper 25497, University Library of Munich, Germany, revised 02 Oct 2010.
    4. Deck, Cary & Foster, Joshua & Song, Hongwei, 2015. "Defense against an opportunistic challenger: Theory and experiments," European Journal of Operational Research, Elsevier, vol. 242(2), pages 501-513.
    5. Dan Kovenock & Brian Roberson, 2012. "Strategic Defense And Attack For Series And Parallel Reliability Systems: Rejoinder," Defence and Peace Economics, Taylor & Francis Journals, vol. 23(5), pages 521-524, October.
    6. Kjell Hausken, 2012. "Strategic Defense and Attack for Series and Parallel Reliability Systems: Reply to Rejoinder," Defence and Peace Economics, Taylor & Francis Journals, vol. 23(5), pages 517-519, October.
    7. Gatmiry, Zohreh S. & Hafezalkotob, Ashkan & Khakzar bafruei, Morteza & Soltani, Roya, 2021. "Food web conservation vs. strategic threats: A security game approach," Ecological Modelling, Elsevier, vol. 442(C).

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    More about this item

    Keywords

    Game theory; Reliability theory; OR in military; Con ict; Contest; Network; Colonel Blotto game;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances; Revolutions
    • H56 - Public Economics - - National Government Expenditures and Related Policies - - - National Security and War

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