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All-pay auctions as models for military annexation

Author

Listed:
  • Benjamin Kang

    (Massachusetts Institute of Technology)

  • James Unwin

    (University of Illinois at Chicago
    University of California, Berkeley & Theoretical Physics Group, LBNL & Mathematics Sciences Research Institute)

Abstract

We explore an application of all-pay auctions to model territorial annexation. Specifically, in the model we consider the expected resource, production, and military power are public information, but actual resource levels are private knowledge. We consider the resource transfer at the end of such a competition which deprives the weaker country of some fraction of its original resources. We derive the quasi-equilibria strategies for two country conflicts under different scenarios.

Suggested Citation

  • Benjamin Kang & James Unwin, 2022. "All-pay auctions as models for military annexation," Letters in Spatial and Resource Sciences, Springer, vol. 15(2), pages 145-160, August.
  • Handle: RePEc:spr:lsprsc:v:15:y:2022:i:2:d:10.1007_s12076-022-00306-8
    DOI: 10.1007/s12076-022-00306-8
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    References listed on IDEAS

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    1. Michael R. Baye & Dan Kovenock & Casper G. Vries, 2005. "Comparative Analysis of Litigation Systems: An Auction-Theoretic Approach," Economic Journal, Royal Economic Society, vol. 115(505), pages 583-601, July.
    2. Chen, Bo, 2019. "On the effects of bid caps in all-pay auctions," Economics Letters, Elsevier, vol. 177(C), pages 60-65.
    3. Michael R. Baye & Dan Kovenock & Casper G. Vries, 2008. "Rigging the lobbying process: An application of the all-pay auction," Springer Books, in: Roger D. Congleton & Kai A. Konrad & Arye L. Hillman (ed.), 40 Years of Research on Rent Seeking 2, pages 331-336, Springer.
    4. Katsuhide Fujita & Takayuki Ito & Mark Klein, 2012. "A Secure and Fair Protocol that Addresses Weaknesses of the Nash Bargaining Solution in Nonlinear Negotiation," Group Decision and Negotiation, Springer, vol. 21(1), pages 29-47, January.
    5. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September.
    6. Amann, Erwin & Leininger, Wolfgang, 1996. "Asymmetric All-Pay Auctions with Incomplete Information: The Two-Player Case," Games and Economic Behavior, Elsevier, vol. 14(1), pages 1-18, May.
    7. Siegel, Ron, 2014. "Asymmetric all-pay auctions with interdependent valuations," Journal of Economic Theory, Elsevier, vol. 153(C), pages 684-702.
    8. Liu, Yong & Liu, Shulin, 2019. "Effects of risk aversion on all-pay auction with reimbursement," Economics Letters, Elsevier, vol. 185(C).
    9. William Vickrey, 1961. "Counterspeculation, Auctions, And Competitive Sealed Tenders," Journal of Finance, American Finance Association, vol. 16(1), pages 8-37, March.
    10. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
    11. Mark Klein & Peyman Faratin & Hiroki Sayama & Yaneer Bar-Yam, 2003. "Negotiating Complex Contracts," Group Decision and Negotiation, Springer, vol. 12(2), pages 111-125, March.
    12. John C. Harsanyi & Reinhard Selten, 1972. "A Generalized Nash Solution for Two-Person Bargaining Games with Incomplete Information," Management Science, INFORMS, vol. 18(5-Part-2), pages 80-106, January.
    13. Snyder, James M, 1989. "Election Goals and the Allocation of Campaign Resources," Econometrica, Econometric Society, vol. 57(3), pages 637-660, May.
    14. Chen, Bo & Ma, Lijun & Zhu, Zhaobo & Zhou, Yu, 2020. "Disclosure policies in all-pay auctions with bid caps and stochastic entry," Economics Letters, Elsevier, vol. 186(C).
    15. Krishna, Vijay & Morgan, John, 1997. "An Analysis of the War of Attrition and the All-Pay Auction," Journal of Economic Theory, Elsevier, vol. 72(2), pages 343-362, February.
    16. Roger B. Myerson, 1981. "Optimal Auction Design," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 58-73, February.
    17. Robert Wilson, 1977. "A Bidding Model of Perfect Competition," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 44(3), pages 511-518.
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    More about this item

    Keywords

    Conflict; War; All-pay auction;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • 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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