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The Robustness of ‘Enemy-of-My-Enemy-is-My-Friend’ Alliances

  • David Rietzke
  • Brian Roberson

This paper examines the robustness of alliance formation in a three-player, two-stage game in which each of two players compete against a third player in disjoint sets of contests. Although the players with the common opponent share no common interests, we find that under the lottery contest success function (CSF) there exists a range of parameter configurations in which the players with the common opponent have incentive to form an alliance involving a pre-conflict transfer of resources. Models that utilize the lottery CSF typically yield qualitatively different results from those arising in models with the auction CSF (Fang 2002). However, under the lottery and the auction CSFs, the parameter configurations within which players with a common opponent form an alliance are closely related. Our results, thus, provide a partial robustness result for ‘enemy-of-my-enemy-is-my-friend’ alliances.

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Paper provided by Purdue University, Department of Economics in its series Purdue University Economics Working Papers with number 1258.

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Length: 21 pages
Date of creation: Oct 2010
Date of revision:
Handle: RePEc:pur:prukra:1258
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  1. Vincent Anesi, 2007. "Moral Hazard and Free Riding in Collective Action," Discussion Papers 2007-04, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
  2. Baye, M.R. & Kovenock, D. & De Varies, C.G., 1990. "The All-Pay Auction With Complete Information," Papers 9051, Tilburg - Center for Economic Research.
  3. Brian Roberson & Dmitriy Kvasov, 2010. "The Non-Constant-Sum Colonel Blotto Game," School of Economics Working Papers 2010-31, University of Adelaide, School of Economics.
  4. Konrad, Kai A. & Kovenock, Dan, 2009. "Multi-battle contests," Games and Economic Behavior, Elsevier, vol. 66(1), pages 256-274, May.
  5. Sandler, Todd, 1999. "Alliance Formation, Alliance Expansion, and the Core," Staff General Research Papers 1669, Iowa State University, Department of Economics.
  6. Bossert, W. & Brams, S.J. & Kilgour, D.M., 2000. "Cooperative VS. Non-cooperative Truels: Little Agreement, but Does that Matter?," Cahiers de recherche 2000-15, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
  7. Toshihiro Ihori & Martin C. McGuire, 2006. "Collective Risk Control And Group Security: The Unexpected Consequences of Differential Risk Aversion," CIRJE F-Series CIRJE-F-402, CIRJE, Faculty of Economics, University of Tokyo.
  8. Yeon-Koo Che & Ian Gale, 1998. "Caps on Political Lobbying," Microeconomics 9809003, EconWPA.
  9. Fang, Hanming, 2002. " Lottery versus All-Pay Auction Models of Lobbying," Public Choice, Springer, vol. 112(3-4), pages 351-71, September.
  10. Baye, M.R. & Kovenock, D. & De Vries, C.G., 1991. "Rigging The Lobbying Process: An Application Of The All- Pay Auction," Purdue University Economics Working Papers 1002, Purdue University, Department of Economics.
  11. Michael Finus & Bianca Rundshagen, 2009. "Membership rules and stability of coalition structures in positive externality games," Social Choice and Welfare, Springer, vol. 32(3), pages 389-406, March.
  12. Dan Kovenock J. & Brian Roberson, 2010. "Conflicts with Multiple Battlefields," CESifo Working Paper Series 3165, CESifo Group Munich.
  13. Arye L. Hillman & John G. Riley, 1987. "Politically Contestable Rents and Transfers," UCLA Economics Working Papers 452, UCLA Department of Economics.
  14. Kvasov, Dmitriy, 2007. "Contests with limited resources," Journal of Economic Theory, Elsevier, vol. 136(1), pages 738-748, September.
  15. Brams, Steven J. & Kilgour, D. Mark, 1997. "The Truel," Working Papers 97-05, C.V. Starr Center for Applied Economics, New York University.
  16. Rafael Hortala-Vallve & Aniol Llorente-Saguer, 2012. "Pure strategy Nash equilibria in non-zero sum colonel Blotto games," International Journal of Game Theory, Springer, vol. 41(2), pages 331-343, May.
  17. Murdoch, James C. & Sandler, Todd, 1984. "Complementarity, free riding, and the military expenditures of NATO allies," Journal of Public Economics, Elsevier, vol. 25(1-2), pages 83-101, November.
  18. Konrad, Kai A., 2009. "Strategy and Dynamics in Contests," OUP Catalogue, Oxford University Press, number 9780199549603, July.
  19. Dan Kovenock & Michael J. Mauboussin & Brian Roberson, 2010. "Asymmetric Conflicts with Endogenous Dimensionality," Purdue University Economics Working Papers 1259, Purdue University, Department of Economics.
  20. Skaperdas, Stergios, 1998. " On the Formation of Alliances in Conflict and Contests," Public Choice, Springer, vol. 96(1-2), pages 25-42, July.
  21. Snyder, James M, 1989. "Election Goals and the Allocation of Campaign Resources," Econometrica, Econometric Society, vol. 57(3), pages 637-60, May.
  22. Brian Roberson, 2006. "The Colonel Blotto game," Economic Theory, Springer, vol. 29(1), pages 1-24, September.
  23. Arce M, Daniel G & Sandler, Todd, 2001. " A Cooperative Game Theory of Noncontiguous Allies," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 3(4), pages 391-411.
  24. Klumpp, Tilman & Polborn, Mattias K., 2006. "Primaries and the New Hampshire Effect," Journal of Public Economics, Elsevier, vol. 90(6-7), pages 1073-1114, August.
  25. Szentes, Balazs & Rosenthal, Robert W., 2003. "Beyond chopsticks: Symmetric equilibria in majority auction games," Games and Economic Behavior, Elsevier, vol. 45(2), pages 278-295, November.
  26. Baye, Michael R & Kovenock, Dan & de Vries, Casper G, 1994. " The Solution to the Tullock Rent-Seeking Game When R Is Greater Than 2: Mixed-Strategy Equilibria and Mean Dissipation Rates," Public Choice, Springer, vol. 81(3-4), pages 363-80, December.
  27. Sergiu Hart, 2008. "Discrete Colonel Blotto and General Lotto games," International Journal of Game Theory, Springer, vol. 36(3), pages 441-460, March.
  28. Anesi, Vincent & De Donder, Philippe, 2008. "Secondary Issues and Party Politics: An Application to Environmental Policy," CEPR Discussion Papers 6774, C.E.P.R. Discussion Papers.
  29. Sandler, Todd, 1977. "Impurity of Defense: An Application to the Economics of Alliances," Kyklos, Wiley Blackwell, vol. 30(3), pages 443-60.
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