IDEAS home Printed from https://ideas.repec.org/a/eee/gamebe/v104y2017icp177-189.html
   My bibliography  Save this article

Attacking the unknown weapons of a potential bomb builder: The impact of intelligence on the strategic interaction

Author

Listed:
  • Jelnov, Artyom
  • Tauman, Yair
  • Zeckhauser, Richard

Abstract

Nation 1 wants to develop a nuclear bomb (or other weapons of mass destruction). Nation 2, its enemy, wants to prevent this, either by requiring that 1 open his facilities, or through a pinpoint strike if her imperfect intelligence system (IS) indicates a bomb is present or imminent. If 1 refuses full inspection, 2 can attack 1 or not. 1's cost for allowing inspection, private information, can be either high, H, or low, L. The game's unique sequential equilibrium will be separating or pooling, depending on the precision of IS. The equilibrium is fully characterized. Surprisingly for less accurate IS, 2 behaves aggressively – her appetite to attack is strong. Highly accurate IS dampens that appetite. The following tragic outcome arises in equilibrium with positive probability: 1 does not develop the bomb; 2's IS correctly signals 1's decision; 1, regardless of type, refuses to open its facilities; 2 attacks 1.

Suggested Citation

  • Jelnov, Artyom & Tauman, Yair & Zeckhauser, Richard, 2017. "Attacking the unknown weapons of a potential bomb builder: The impact of intelligence on the strategic interaction," Games and Economic Behavior, Elsevier, vol. 104(C), pages 177-189.
  • Handle: RePEc:eee:gamebe:v:104:y:2017:i:c:p:177-189
    DOI: 10.1016/j.geb.2017.01.006
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0899825617300076
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.geb.2017.01.006?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Roland Kirstein, 2014. "Doping, the Inspection Game, and Bayesian Enforcement," Journal of Sports Economics, , vol. 15(4), pages 385-409, August.
    2. Powell, Robert, 1996. "Bargaining in the Shadow of Power," Games and Economic Behavior, Elsevier, vol. 15(2), pages 255-289, August.
    3. Chungshik Moon & Mark Souva, 2016. "Audience Costs, Information, and Credible Commitment Problems," Journal of Conflict Resolution, Peace Science Society (International), vol. 60(3), pages 434-458, April.
    4. R.J. Aumann & S. Hart (ed.), 2002. "Handbook of Game Theory with Economic Applications," Handbook of Game Theory with Economic Applications, Elsevier, edition 1, volume 3, number 3.
    5. Fearon, James D., 1995. "Rationalist explanations for war," International Organization, Cambridge University Press, vol. 49(3), pages 379-414, July.
    6. M. Shubik, 1987. "The Uses, Value and Limitations of Game Theoretic Methods in Defence Analysis," International Economic Association Series, in: Christian Schmidt & Frank Blackaby (ed.), Peace, Defence and Economic Analysis, chapter 4, pages 53-84, Palgrave Macmillan.
    7. Alexandre Debs & Jessica Chen Weiss, 2016. "Circumstances, Domestic Audiences, and Reputational Incentives in International Crisis Bargaining," Journal of Conflict Resolution, Peace Science Society (International), vol. 60(3), pages 403-433, April.
    8. Powell, Robert, 2004. "The Inefficient Use of Power: Costly Conflict with Complete Information," American Political Science Review, Cambridge University Press, vol. 98(2), pages 231-241, May.
    9. Schultz, Kenneth A., 1998. "Domestic Opposition and Signaling in International Crises," American Political Science Review, Cambridge University Press, vol. 92(4), pages 829-844, December.
    10. Wittman, Donald, 1989. "Arms Control Verification and Other Games Involving Imperfect Detection," American Political Science Review, Cambridge University Press, vol. 83(3), pages 923-945, September.
    11. Powell, Robert, 2006. "War as a Commitment Problem," International Organization, Cambridge University Press, vol. 60(1), pages 169-203, January.
    12. O'Neill, Barry, 1994. "Game theory models of peace and war," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 2, chapter 29, pages 995-1053, Elsevier.
    13. Muhammet A. Bas & Andrew J. Coe, 2012. "Arms Diffusion and War," Journal of Conflict Resolution, Peace Science Society (International), vol. 56(4), pages 651-674, August.
    14. Sandeep Baliga & Tomas Sjöström, 2008. "Strategic Ambiguity and Arms Proliferation," Journal of Political Economy, University of Chicago Press, vol. 116(6), pages 1023-1057, December.
    15. Kamien, Morton I. & Tauman, Yair & Zamir, Shmuel, 1990. "On the value of information in a strategic conflict," Games and Economic Behavior, Elsevier, vol. 2(2), pages 129-153, June.
    16. Schultz, Kenneth A., 1999. "Do Democratic Institutions Constrain or Inform? Contrasting Two Institutional Perspectives on Democracy and War," International Organization, Cambridge University Press, vol. 53(2), pages 233-266, April.
    17. Debs, Alexandre & Monteiro, Nuno P., 2014. "Known Unknowns: Power Shifts, Uncertainty, and War," International Organization, Cambridge University Press, vol. 68(1), pages 1-31, January.
    18. Fearon, James D., 1994. "Domestic Political Audiences and the Escalation of International Disputes," American Political Science Review, Cambridge University Press, vol. 88(3), pages 577-592, September.
    19. Avenhaus, Rudolf & Von Stengel, Bernhard & Zamir, Shmuel, 2002. "Inspection games," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 3, chapter 51, pages 1947-1987, Elsevier.
    20. Meirowitz, Adam & Sartori, Anne E., 2008. "Strategic Uncertainty as a Cause of War," Quarterly Journal of Political Science, now publishers, vol. 3(4), pages 327-352, December.
    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. Tao Wang, 2020. "Competitive Intelligence and Disclosure of Cost Information in Duopoly," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 57(3), pages 665-699, November.
    2. Rodivilov, Alexander, 2022. "Monitoring innovation," Games and Economic Behavior, Elsevier, vol. 135(C), pages 297-326.
    3. Lihi Dery & Dror Hermel & Artyom Jelnov, 2021. "Cheating in Ranking Systems," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 58(2), pages 303-320, March.
    4. Jelnov, Artyom & Tauman, Yair & Zeckhauser, Richard, 2018. "Confronting an enemy with unknown preferences: Deterrer or provocateur?," European Journal of Political Economy, Elsevier, vol. 54(C), pages 124-143.
    5. Deutsch, Yael & Goldberg, Noam & Perlman, Yael, 2019. "Incorporating monitoring technology and on-site inspections into an n-person inspection game," European Journal of Operational Research, Elsevier, vol. 274(2), pages 627-637.
    6. Ma, Siyu & Biran, Dov, 2023. "Attacking a nuclear facility: The impact of a noisy intelligence with unknown quality," Games and Economic Behavior, Elsevier, vol. 141(C), pages 472-483.

    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. Jelnov, Artyom & Tauman, Yair & Zeckhauser, Richard, 2018. "Confronting an enemy with unknown preferences: Deterrer or provocateur?," European Journal of Political Economy, Elsevier, vol. 54(C), pages 124-143.
    2. Kim, Jin Yeub, 2018. "Counterthreat of attack to deter aggression," Economics Letters, Elsevier, vol. 167(C), pages 112-114.
    3. Andrew H. Kydd & Roseanne W. McManus, 2017. "Threats and Assurances in Crisis Bargaining," Journal of Conflict Resolution, Peace Science Society (International), vol. 61(2), pages 325-348, February.
    4. Clara Ponsati & Santiago Sanchez-Pages, 2012. "Optimism and commitment: an elementary theory of bargaining and war," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 3(1), pages 157-179, March.
    5. John Tyson Chatagnier, 2015. "Conflict bargaining as a signal to third parties," Journal of Theoretical Politics, , vol. 27(2), pages 237-268, April.
    6. Nakao, Keisuke, 2022. "Democratic Victory and War Duration: Why Are Democracies Less Likely to Win Long Wars?," MPRA Paper 112849, University Library of Munich, Germany.
    7. Gary Uzonyi & Matthew Wells, 2016. "Domestic institutions, leader tenure and the duration of civil war," Conflict Management and Peace Science, Peace Science Society (International), vol. 33(3), pages 294-310, July.
    8. Helios Herrera & Massimo Morelli & Salvatore Nunnari, 2022. "A Theory of Power Wars," Quarterly Journal of Political Science, now publishers, vol. 17(1), pages 1-30, January.
    9. Jin Yeub Kim, 2022. "Negotiation statements with promise and threat," Review of Economic Design, Springer;Society for Economic Design, vol. 26(2), pages 149-164, June.
    10. Colin Krainin & John Slinkman, 2017. "Bargaining with a biased autocrat," Journal of Theoretical Politics, , vol. 29(2), pages 273-298, April.
    11. Sam R. Bell, 2013. "What you don’t know can hurt you: Information, external transparency, and interstate conflict, 1982–1999," Conflict Management and Peace Science, Peace Science Society (International), vol. 30(5), pages 452-468, November.
    12. Yuleng Zeng, 2020. "Bluff to peace: How economic dependence promotes peace despite increasing deception and uncertainty," Conflict Management and Peace Science, Peace Science Society (International), vol. 37(6), pages 633-654, November.
    13. Muhammet A. Bas, 2012. "Measuring Uncertainty in International Relations: Heteroskedastic Strategic Models," Conflict Management and Peace Science, Peace Science Society (International), vol. 29(5), pages 490-520, November.
    14. Scott Wolford, 2020. "War and diplomacy on the world stage: Crisis bargaining before third parties," Journal of Theoretical Politics, , vol. 32(2), pages 235-261, April.
    15. Kristopher W. Ramsay, 2004. "Politics at the Water’s Edge," Journal of Conflict Resolution, Peace Science Society (International), vol. 48(4), pages 459-486, August.
    16. Robert Shum, 2014. "China, the United States, bargaining, and climate change," International Environmental Agreements: Politics, Law and Economics, Springer, vol. 14(1), pages 83-100, March.
    17. Thomas Edward Flores & Irfan Nooruddin, 2011. "Credible Commitment in Post-Conflict Recovery," Chapters, in: Christopher J. Coyne & Rachel L. Mathers (ed.), The Handbook on the Political Economy of War, chapter 23, Edward Elgar Publishing.
    18. Joe Clare & Vesna Danilovic, 2012. "Reputation for Resolve, Interests, and Conflict," Conflict Management and Peace Science, Peace Science Society (International), vol. 29(1), pages 3-27, February.
    19. Giacomo De Luca & Petros G. Sekeris, 2013. "Deterrence in Contests," Economica, London School of Economics and Political Science, vol. 80(317), pages 171-189, January.
    20. Max Gallop, 2017. "More dangerous than dyads: how a third party enables rationalist explanations for war," Journal of Theoretical Politics, , vol. 29(3), pages 353-381, July.

    More about this item

    Keywords

    Intelligence system; Deterrence; Weapons of mass destruction; Incomplete information; Pooling and separating equilibria;
    All these keywords.

    JEL classification:

    • D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances; Revolutions
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General

    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:eee:gamebe:v:104:y:2017:i:c:p:177-189. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/622836 .

    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.