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Benford’s Law and Naturally Occurring Prices in Certain ebaY Auctions

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Abstract

We show that certain the winning bids for certain ebaY auctions obey Benford’s Law. One implication of this is that it is unlikely that these bids are subject to collusion among bidders, or “shilling” on the part of sellers. Parenthetically, we also show that numbers from the naturally occurring Fibonacci and Lucas sequences also obey Benford’s Law.

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Bibliographic Info

Paper provided by Department of Economics, University of Victoria in its series Econometrics Working Papers with number 0505.

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Length: 10 pages
Date of creation: 17 May 2005
Date of revision:
Handle: RePEc:vic:vicewp:0505

Note: ISSN 1485-6441
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Keywords: Benford’s Law; auction prices; football; Kuiper test; Watson test;

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References

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  1. Giles, David E., 2005. "Testing for a Santa Claus effect in growth cycles," Economics Letters, Elsevier, vol. 87(3), pages 421-426, June.
  2. Canessa, Enrique, 2003. "Theory of analogous force on number sets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 328(1), pages 44-52.
  3. Pietronero, L. & Tosatti, E. & Tosatti, V. & Vespignani, A., 2001. "Explaining the uneven distribution of numbers in nature: the laws of Benford and Zipf," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 293(1), pages 297-304.
  4. De Ceuster, Marc J. K. & Dhaene, Geert & Schatteman, Tom, 1998. "On the hypothesis of psychological barriers in stock markets and Benford's Law," Journal of Empirical Finance, Elsevier, vol. 5(3), pages 263-279, September.
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Cited by:
  1. Abrantes-Metz, Rosa & Villas-Boas, Sofia B. & Judge, George G., 2013. "Tracking the Libor Rate," Department of Agricultural & Resource Economics, UC Berkeley, Working Paper Series qt2p33x7dk, Department of Agricultural & Resource Economics, UC Berkeley.
    • Abrantes-Metz, Rosa & Villas-Boas, Sofia B. & Judge, George G., 2010. "Tracking the Libor rate," CUDARE Working Paper Series 1108R, University of California at Berkeley, Department of Agricultural and Resource Economics and Policy, revised Jul 2010.
  2. Lee, Joanne & Cho, Wendy K. Tam & Judge, George G, 2009. "Stigler's approach to recovering the distribution of first significant digits in natural data sets," Department of Agricultural & Resource Economics, UC Berkeley, Working Paper Series qt9745m98d, Department of Agricultural & Resource Economics, UC Berkeley.
  3. Holz, Carsten, 2013. "The Quality of China's GDP Statistics," MPRA Paper 51864, University Library of Munich, Germany.
  4. Johannes Bauer & Jochen Gross, 2011. "Difficulties Detecting Fraud? The Use of Benford’s Law on Regression Tables," Journal of Economics and Statistics (Jahrbuecher fuer Nationaloekonomie und Statistik), Justus-Liebig University Giessen, Department of Statistics and Economics, vol. 231(5-6), pages 733-748, November.
  5. Mir, T.A., 2014. "The Benford law behavior of the religious activity data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 408(C), pages 1-9.
  6. Kundt, Thorben, 2014. "Applying “Benford’s law” to the Crosswise Model: Findings from an online survey on tax evasion," Working Paper 148/2014, Helmut Schmidt University, Hamburg.
  7. Lee, Joanne & Judge, George G, 2008. "Identifying falsified clinical data," Department of Agricultural & Resource Economics, UC Berkeley, Working Paper Series qt8x00h1c1, Department of Agricultural & Resource Economics, UC Berkeley.
  8. Karl-Heinz Tödter, 2009. "Benford's Law as an Indicator of Fraud in Economics," German Economic Review, Verein für Socialpolitik, vol. 10, pages 339-351, 08.
  9. Kalaichelvan, Mohandass & Lim Kai Jie, Shawn, 2012. "A Critical Evaluation of the Significance of Round Numbers in European Equity Markets in Light of the Predictions from Benford’s Law," MPRA Paper 40960, University Library of Munich, Germany.
  10. David E. Giles, 2012. "Exact Asymptotic Goodness-of-Fit Testing For Discrete Circular Data, With Applications," Econometrics Working Papers 1201, Department of Economics, University of Victoria.
  11. Paul Hofmarcher & Kurt Hornik, 2013. "First Significant Digits and the Credit Derivative Market During the Financial Crisis," Contemporary Economics, University of Finance and Management in Warsaw, vol. 7(2), June.
  12. David E. A. Giles, 2006. "The Exact Asymptotic Distribution Function of Watson's UN-Squared for Testing Goodness-of-Fit With Circular Discrete Data," Econometrics Working Papers 0607, Department of Economics, University of Victoria.

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