Journal of Applied Mathematics
Volume 2012 (2012), Article ID 813060, 7 pages
http://dx.doi.org/10.1155/2012/813060
Research Article

On the Bankruptcy Situations and the Alexia Value

S. Z. Alparslan Gök1,2 and A. Sarıarslan1

1Department of Mathematics, Faculty of Arts and Sciences, Süleyman Demirel University, 32 260 Isparta, Turkey
2Institute of Applied Mathematics, Middle East Technical University, 06531 Ankara, Turkey

Received 27 March 2012; Revised 22 June 2012; Accepted 15 July 2012

Academic Editor: Maurizio Porfiri

Copyright © 2012 S. Z. Alparslan Gök and A. Sarıarslan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The main result of this paper is to show that the three ancient bankruptcy situations from the 2000-year-old Babylonian Talmud can be solved by using the average lexicographic value (Alexia) from cooperative game theory.