IDEAS home Printed from https://ideas.repec.org/p/pur/prukra/1268.html
   My bibliography  Save this paper

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

Author

Listed:
  • Dan Kovenock
  • Brian Roberson

Abstract

In our original comment, we showed that Hausken's characterization of Nash equilibrium is invalid for much of the parameter space examined and provided necessary conditions for his solution to hold. Most of the comments in his reply are either tangential or irrelevant. However, several of the claims made in the reply reveal continuing misunderstandings and gaps in his understanding. In this rejoinder, we brie y clarify the fundamental issues.

Suggested Citation

  • Dan Kovenock & Brian Roberson, 2012. "Strategic Defense and Attack for Series and Parallel Reliability Systems: Rejoinder," Purdue University Economics Working Papers 1268, Purdue University, Department of Economics.
    • Handle: RePEc:pur:prukra:1268
    as

    Download full text from publisher

    File URL: https://business.purdue.edu/research/Working-papers-series/2012/1268.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Hausken, Kjell, 2008. "Strategic defense and attack for series and parallel reliability systems," European Journal of Operational Research, Elsevier, vol. 186(2), pages 856-881, April.
    2. Dan Kovenock & Brian Roberson, 2012. "Strategic Defense And Attack For Series And Parallel Reliability Systems: Comment," Defence and Peace Economics, Taylor & Francis Journals, vol. 23(5), pages 507-515, October.
    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. Dan Kovenock & Brian Roberson, 2018. "The Optimal Defense Of Networks Of Targets," Economic Inquiry, Western Economic Association International, vol. 56(4), pages 2195-2211, October.
    5. Hirshleifer, Jack, 1995. "Anarchy and Its Breakdown," Journal of Political Economy, University of Chicago Press, vol. 103(1), pages 26-52, February.
    6. 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.
    7. 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.
    8. Derek J. Clark & Kai A. Konrad, 2007. "Asymmetric Conflict," Journal of Conflict Resolution, Peace Science Society (International), vol. 51(3), pages 457-469, June.
    9. Guoqiang Tian, 2009. "The Existence of Equilibria in Games with Arbitrary Strategy Spaces and Payoffs: A Full Characterization," Levine's Working Paper Archive 814577000000000160, David K. Levine.
    10. Hausken, Kjell, 2008. "Strategic defense and attack for reliability systems," Reliability Engineering and System Safety, Elsevier, vol. 93(11), pages 1740-1750.
    11. Monteiro, Paulo Klinger & Page Jr, Frank H., 2007. "Uniform payoff security and Nash equilibrium in compact games," Journal of Economic Theory, Elsevier, vol. 134(1), pages 566-575, May.
    12. Kjell Hausken, 2012. "Strategic defense and attack for series and parallel reliability systems: reply 1 to comment 1," Defence and Peace Economics, Taylor & Francis Journals, vol. 23(5), pages 525-531, October.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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. 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.
    3. 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.
    4. 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).
    5. 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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. 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..
    3. 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.
    4. Dan Kovenock & Brian Roberson, 2012. "Strategic Defense And Attack For Series And Parallel Reliability Systems: Comment," Defence and Peace Economics, Taylor & Francis Journals, vol. 23(5), pages 507-515, October.
    5. Daniel G. Arce & Dan Kovenock J. & Brian Roberson, 2009. "Suicide Terrorism and the Weakest Link," CESifo Working Paper Series 2753, CESifo.
    6. 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.
    7. 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.
    8. Subhasish Chowdhury & Dan Kovenock & Roman Sheremeta, 2013. "An experimental investigation of Colonel Blotto games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 52(3), pages 833-861, April.
    9. Levitin, Gregory & Hausken, Kjell, 2009. "Intelligence and impact contests in systems with redundancy, false targets, and partial protection," Reliability Engineering and System Safety, Elsevier, vol. 94(12), pages 1927-1941.
    10. Kjell Hausken, 2012. "Strategic defense and attack for series and parallel reliability systems: reply 1 to comment 1," Defence and Peace Economics, Taylor & Francis Journals, vol. 23(5), pages 525-531, October.
    11. Levitin, Gregory & Hausken, Kjell, 2009. "False targets efficiency in defense strategy," European Journal of Operational Research, Elsevier, vol. 194(1), pages 155-162, April.
    12. Levitin, Gregory & Hausken, Kjell, 2009. "Parallel systems under two sequential attacks," Reliability Engineering and System Safety, Elsevier, vol. 94(3), pages 763-772.
    13. Levitin, Gregory & Hausken, Kjell, 2010. "Influence of attacker's target recognition ability on defense strategy in homogeneous parallel systems," Reliability Engineering and System Safety, Elsevier, vol. 95(5), pages 565-572.
    14. Hausken, Kjell & Levitin, Gregory, 2009. "Protection vs. false targets in series systems," Reliability Engineering and System Safety, Elsevier, vol. 94(5), pages 973-981.
    15. Dan Kovenock & Brian Roberson, 2018. "The Optimal Defense Of Networks Of Targets," Economic Inquiry, Western Economic Association International, vol. 56(4), pages 2195-2211, October.
    16. Kjell Hausken, 2012. "Game Theoretic Analysis of Standby Systems," Chapters, in: Yair Holtzman (ed.), Advanced Topics in Applied Operations Management, IntechOpen.
    17. Levitin, Gregory & Hausken, Kjell, 2008. "Protection vs. redundancy in homogeneous parallel systems," Reliability Engineering and System Safety, Elsevier, vol. 93(10), pages 1444-1451.
    18. Subhasish M. Chowdhury & Iryna Topolyan, 2016. "The Attack-And-Defense Group Contests: Best Shot Versus Weakest Link," Economic Inquiry, Western Economic Association International, vol. 54(1), pages 548-557, January.
    19. Kjell Hausken & Gregory Levitin, 2008. "Efficiency of Even Separation of Parallel Elements with Variable Contest Intensity," Risk Analysis, John Wiley & Sons, vol. 28(5), pages 1477-1486, October.
    20. Levitin, Gregory & Hausken, Kjell, 2010. "Separation in homogeneous systems with independent identical elements," European Journal of Operational Research, Elsevier, vol. 203(3), pages 625-634, June.

    More about this item

    Keywords

    Game 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

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:pur:prukra:1268. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Business PHD (email available below). General contact details of provider: https://edirc.repec.org/data/kspurus.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.