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The Role of Noise in Alliance Formation and Collusion in Conflicts

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  • Boudreau, James W.
  • Sanders, Shane
  • Shunda, Nicholas

Abstract

Many real-world conflicts are to some extent determined randomly by noise. The way in which noise is modeled in contest success functions (CSFs) has has important implications both for the possibility of forming cooperative relationships as well as for the features of such relationships. In a one-shot conflict, we find that when noise is modeled as an exponential parameter in the CSF, there is a range of values for which an alliance between two parties can be beneficial, whereas that is not the case for an additive noise parameter. In an infinitely repeated conflict setting with additive noise, sustaining collusion via Nash reversion strategies is easier the more noise there is and more difficult the larger the contest's prize value, while an increase in the contest's number of players can make sustaining collusion either more or less difficult, all in marked contrast to the case of an exponential noise parameter. Which noise specification is appropriate is therefore an important consideration for modeling any conflict situation.

Suggested Citation

  • Boudreau, James W. & Sanders, Shane & Shunda, Nicholas, 2017. "The Role of Noise in Alliance Formation and Collusion in Conflicts," MPRA Paper 81533, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:81533
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    1. Birendra Rai & Rajiv Sarin, 2009. "Generalized contest success functions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 40(1), pages 139-149, July.
    2. Grossmann Martin & Lang Markus & Dietl Helmut, 2011. "Transitional Dynamics in a Tullock Contest with a General Cost Function," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 11(1), pages 1-26, August.
    3. James W. Friedman, 1971. "A Non-cooperative Equilibrium for Supergames," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 38(1), pages 1-12.
    4. J. Amegashie, 2006. "A contest success function with a tractable noise parameter," Public Choice, Springer, vol. 126(1), pages 135-144, January.
    5. Dasgupta, Ani & Nti, Kofi O., 1998. "Designing an optimal contest," European Journal of Political Economy, Elsevier, vol. 14(4), pages 587-603, November.
    6. Grossmann, Martin, 2014. "Uncertain contest success function," European Journal of Political Economy, Elsevier, vol. 33(C), pages 134-148.
    7. Stergios Skaperdas, 1996. "Contest success functions (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(2), pages 283-290.
    8. Linster, Bruce G, 1994. "Cooperative Rent-Seeking," Public Choice, Springer, vol. 81(1-2), pages 23-34, October.
    9. Pavlo Blavatskyy, "undated". "Contest success function with the possibility of a draw: axiomatization," IEW - Working Papers 208, Institute for Empirical Research in Economics - University of Zurich.
    10. J. Amegashie, 2011. "Incomplete property rights and overinvestment," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 37(1), pages 81-95, June.
    11. Blavatskyy, Pavlo R., 2010. "Contest success function with the possibility of a draw: Axiomatization," Journal of Mathematical Economics, Elsevier, vol. 46(2), pages 267-276, March.
    12. Krahmer, Daniel, 2007. "Equilibrium learning in simple contests," Games and Economic Behavior, Elsevier, vol. 59(1), pages 105-131, April.
    13. Hao Jia, 2008. "A stochastic derivation of the ratio form of contest success functions," Public Choice, Springer, vol. 135(3), pages 125-130, June.
    14. Ke, Changxia & Konrad, Kai A. & Morath, Florian, 2013. "Brothers in arms – An experiment on the alliance puzzle," Games and Economic Behavior, Elsevier, vol. 77(1), pages 61-76.
    15. Cason, Timothy N. & Masters, William A. & Sheremeta, Roman M., 2020. "Winner-take-all and proportional-prize contests: Theory and experimental results," Journal of Economic Behavior & Organization, Elsevier, vol. 175(C), pages 314-327.
    16. Arye L. Hillman & John G. Riley, 1989. "Politically Contestable Rents And Transfers," Economics and Politics, Wiley Blackwell, vol. 1(1), pages 17-39, March.
    17. Cédric Wasser, 2013. "Incomplete information in rent-seeking contests," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 53(1), pages 239-268, May.
    18. Halvor Mehlum & Karl Moene, 2006. "Fighting against the odds," Economics of Governance, Springer, vol. 7(1), pages 75-87, January.
    19. Eggert, Wolfgang & Itaya, Jun-ichi & Mino, Kazuo, 2011. "A dynamic model of conflict and appropriation," Journal of Economic Behavior & Organization, Elsevier, vol. 78(1), pages 167-182.
    20. Abreu, Dilip, 1986. "Extremal equilibria of oligopolistic supergames," Journal of Economic Theory, Elsevier, vol. 39(1), pages 191-225, June.
    21. Hao Jia, 2012. "Contests with the Probability of a Draw: A Stochastic Foundation," The Economic Record, The Economic Society of Australia, vol. 88(282), pages 391-406, September.
    22. Konrad, Kai A., 2009. "Strategy and Dynamics in Contests," OUP Catalogue, Oxford University Press, number 9780199549603.
    23. Steffen Huck & Kai A. Konrad & Wieland Müller, 2002. "Merger and Collusion in Contests," Journal of Institutional and Theoretical Economics (JITE), Mohr Siebeck, Tübingen, vol. 158(4), pages 563-575, December.
    24. Abreu, Dilip, 1988. "On the Theory of Infinitely Repeated Games with Discounting," Econometrica, Econometric Society, vol. 56(2), pages 383-396, March.
    25. Cheikbossian, Guillaume, 2012. "The collective action problem: Within-group cooperation and between-group competition in a repeated rent-seeking game," Games and Economic Behavior, Elsevier, vol. 74(1), pages 68-82.
    26. Sherrill Shaffer & Jason Shogren, 2008. "Infinitely repeated contests: How strategic interaction affects the efficiency of governance," Regulation & Governance, John Wiley & Sons, vol. 2(2), pages 234-252, June.
    27. Alexeev, Michael & Leitzel, Jim, 1991. "Collusion and Rent-Seeking," Public Choice, Springer, vol. 69(3), pages 241-252, March.
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    Cited by:

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    2. Justin Ehrlich & Matthew Harmon & Shane Sanders, 2020. "The alliance formation puzzle in contests with capacity-constraints: A test using American football reception-coverage contest data," PLOS ONE, Public Library of Science, vol. 15(3), pages 1-13, March.
    3. Shane Sanders, 2023. "Environmental Status Goods and Market-Based Conservation: An Arm of Ostrom’s Polycentric Approach?," Sustainability, MDPI, vol. 15(5), pages 1-9, February.
    4. Bo Chen & Shanlin Jin, 2023. "Elimination contests with collusive team players," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 25(1), pages 61-89, February.

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    More about this item

    Keywords

    Contests; conflict; alliance paradox; collusion; noise;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
    • D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances; Revolutions

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