EconPapers    
Economics at your fingertips  
 

A stochastic analysis of some two-person sports

Davy Paindaveine () and Yvik Swan

No 2009_025, Working Papers ECARES from ULB -- Universite Libre de Bruxelles

Abstract: We consider two-person sports where each rally is initiated by a server, the other player (the receiver) becoming the server when he/she wins a rally. Historically, these sports used a scoring based on the side-out scoring system, in which points are only scored by the server. Recently, however, some federations have switched to the rally-point scoring system in which a point is scored on every rally. As various authors before us, we study how much this change affects the game. Our approach is based on a rally-level analysis of the process through which, besides the well-known probability distribution of the scores,we also obtain the distribution of the number of rallies. This yields a comprehensive knowledge of the process at hand, and allows for an in-depth comparison of both scoring systems. In particular, our results help to explain why the transition from one scoring system to the other has more important implications than those predicted from game-winning probabilities alone. Some of our findings are quite surprising, and unattainable through Monte Carlo experiments. Our results are of high practical relevance to international federations and local tournament organizers alike, and also open the way to fficient estimation of the rally-winning probabilities, which should have a significant impact on the quality of ranking procedures.

Date: 2009
New Economics Papers: this item is included in nep-spo
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1) Track citations by RSS feed

Published by: ECARES

Downloads: (external link)
https://dipot.ulb.ac.be/dspace/bitstream/2013/5755 ... _wpaper_2009_025.pdf RePEc_eca_wpaper_2009_025 (application/pdf)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eca:wpaper:2009_025

Ordering information: This working paper can be ordered from
http://hdl.handle.ne ... ulb.ac.be:2013/57556

Access Statistics for this paper

More papers in Working Papers ECARES from ULB -- Universite Libre de Bruxelles Contact information at EDIRC.
Bibliographic data for series maintained by Benoit Pauwels ().

 
Page updated 2024-02-24
Handle: RePEc:eca:wpaper:2009_025