Efficiency of competitions

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 76, Issue 2, 2007, Pages

  Ben Naim, E ^a   Hengartner, N W ^b  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

^b LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; GAME THEORY; NUMBER THEORY; SCHEDULING;

LEAGUE COMPETITION; SEQUENTIAL ELIMINATION;

RANDOM PROCESSES;

EID: 34547877542     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.76.026106     Document Type: Article

References (29)

1. J. D. Gunton, M. San Miguel, and P. S. Sahni, in Phase Transitions and Critical Phenomena, edited by C. Domb and J. L. Lebowitz (Academic, New York, 1983), Vol. 8.
2. A. J. Bray, Adv. Phys. ADPHAH 0001-8732 10.1080/00018739400101505 43, 357 (1994).
3. S. J. Gould, Full House: The Spread of Excellence from Plato to Darwin (Harmony Books, New York, 1996).
4. E. Bonabeau, G Theraulaz, and J.-L. Deneubourg, Physica A PHYADX 0378-4371 10.1016/0378-4371(95)00064-E 217, 373 (1995).
5. K. Malarz, D. Stauffer, and K. Kulakowski, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2006-00059-3 50, 195 (2006).
6. E. Ben-Naim, F. Vazquez, and S. Redner, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2006-00095-y 49, 531 (2006).
7. R. N. Mantegna and H. E. Stanley, An Introduction to Econophysics: Correlations and Complexity in Finance (Cambridge University Press, Cambridge, UK, 2000).
8. R. L. Axtell, Science SCIEAS 0036-8075 10.1126/science.1063581 293, 5536 (2001).
9. R. A. Bradley and M. E. Terry, Biometrika BIOKAX 0006-3444 39, 324 (1952).
10. M. G. Kendall, Biometrics BIOMB6 0006-341X 10.2307/3001479 11, 43 (1955).
11. M. E. Glickman, American Chess Jour. 3, 59 (1995).
12. J. P. Keener, SIAM Rev. SIREAD 0036-1445 10.1137/1035004 35, 80 (1993).
13. G. R. Connor and C. P. Grant, Eur. J. Appl. Math. ZZZZZZ 0956-7925 11, 225 (2000).
14. T. Callaghan, P. J. Mucha, and M. A. Porter, Not. Am. Math. Soc. AMNOAN 0002-9920 51, 887 (2004).
15. J. Park and M. E. J. Newman, J. Stat. Mech.: Theory Exp. ZZZZZZ 1742-5468 (2005) P10014.
16. E. Ben-Naim, S. Redner, and F. Vazquez, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/77/30005 77, 30005 (2007).
17. R. Toral and P. Amengual, AIP Conf. Proc. APCPCS 0094-243X 10.1063/1.2008603 779, 128 (2005).
18. T. Lundh, J. Quant. Anal. Sports 2, No. 3, Article 1 (2006).
19. E. Ben-Naim, F. Vazquez, and S. Redner, J. Quant. Anal. Sports 2, No. 4, Article 1 (2006);
20. E. Ben-Naim, F. Vazquez, and S. Redner, J. Korean Phys. Soc. KPSJAS 0374-4884 50, 124 (2007).
21. P. G. de Gennes, Scaling Concepts in Polymer Physics (Cornell, Ithaca, 1979).
22. M. Doi and S. F. Edwards, The Theory of Polymer Dynamics (Clarendon Press, Oxford, 1986).
23. N. G. van Kampen, Stochastic Processes in Physics and Chemistry (North Holland, Amsterdam, 1992).
24. S. Galam, Physica A PHYADX 0378-4371 10.1016/S0378-4371(00)00272-7 285, 66 (2000).
25. D. ben-Avraham and E. Ben-Naim (unpublished).
26. K. Jain and J. Krug, J. Stat. Mech.: Theory Exp. ZZZZZZ 1742-5468 (2005) P040068.
27. C. Sire, S. N. Majumdar, and D. S. Dean, J. Stat. Mech.: Theory Exp. ZZZZZZ 1742-5468 (2006) L07001.
28. P. L. Krapivsky and S. Redner, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.258703 89, 258703 (2002).
29. E. Ben-Naim and P. L. Krapivsky, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2003-10081-7 65, 151 (2004).