Publications--Articles and Monographs

 

   
   
38. "Final digit strings of powers where the exponents end in 1, 3, 7 or 9" (with Daniel P. Biebighauser),  The Fibonacci Quarterly, 43 (2005), 339-350.
37. "Final digit strings of cubes" (with Daniel P. Biebighauser and John Bullock), Mathematics Magazine 77 (2004), 149-154.
36. "Which four-part Partition games are isomorphic to Silverman's Game?" European J. Oper. Research 137 (2002), 588-592.
35. "Three-part partition games on rectangles," Theoretical Computer Science A 259 (2001), 639-661.
34. "The game Double-Silver on intervals," International Journal of Mathematics and Mathematical Sciences 26 (2001), 485-496.
33. (with Ulrike Leopold-Wildburger) "Four-part partition games isomorphic to Silverman's game, European J. Oper. Research 124/3 (2000), 629-640.
32. (with Ulrike Leopold-Wildburger) "Four-part partition games by transformation of variables in Silverman's Game: Details of some examples," Central European J. Oper. Research 7 (2000), 249-275.
32a. (with Ulrike Leopold-Wildburger) "Four-part partition games by transformation of variables in Silverman's Game: Details of some examples," Working Paper 01/1999, Department of Business, University of Graz, Austria, (1999), 1-28.
31. (with Ulrike Leopold-Wildburger) "The four-part partition game as a generalization of Silverman's game," Working Paper 02/1998, Department of Business, University of Graz, Austria, (1998), 1-15.
30. "More on the Thinned-Out Harmonic Series," Mathematics Magazine 70 (1997), 43-45.
29. (with Oskar Müller and Ulrike Leopold-Wildburger) "Some experiments with Silverman's game,"Cent. European J. for Oper. Res. and Economics 4 (1996), 57-68.
28. "Some new games on intervals," in Operations Research Proceedings 1995, Selected Papers from the Symposium on Operations Research (SOR'95), Passau, Sept. 13-15, 1995; 487-492; Springer-Verlag, Berlin, Heidelberg, 1996.
27. (with Ulrike Leopold-Wildburger) "Silverman's game," Springer-Verlag, Lecture Notes in Economics and Mathematical Systems 424 (1995), x + 283 pp.
26. (with Ulrike Leopold-Wildburger) "The advantage of deeper pockets in Silverman's game on intervals," Naval Research Logistics 42 (1995), 124-140.
25. (with Ulrike Leopold-Wildburger) "Fibonacci-type sequences and minimal solutions of discrete Silverman games," Fibonacci Quarterly 32 (1994), 22-43.
24. (with Ulrike Leopold-Wildburger) "Nonsingularity of some classes of matrices, and minimal solutions of Silverman's game on discrete sets," Mathematical and Computer Modelling 18 No. 12 (1993), 1-31
23. (with R. J. Evans) "Silverman's game on discrete sets," Linear Algebra and its Applications 166 (1992), 217-235.
22. (with Ulrike Leopold-Wildburger) "Asymmetric Silverman games on intervals," Workingpaper Nr. 27 (1992), Department of Business, University of Graz, Austria, i + 23 pp. 
21. (with Ulrike Leopold-Wildburger) "Balanced Silverman games on general discrete sets," Springer-Verlag, Lecture Notes in Economics and Mathematical Systems 365 (1991) vi + 140 pp.
20. (with Ulrike Leopold-Wildburger) "Silverman games on general discrete sets," Workingpaper Nr. 24 (1990), Department of Business, University of Graz, Austria, ii + 93 pp.
19. "Reduction of Silverman-like games to games on bounded sets," Internat. J. Game Theory 18 (1989), 31-36.
18. (with W. Dow Rieder) "Silverman games on disjoint discrete sets," SIAM J. Discrete Math 1 (1988), 485-525.
17. “A family of games on (1, `)@ with payoff a function of (y/x),” Naval Research Logistics Quarterly 31 (1984), 229-249.
16. "Odds versus evens in Silverman-like games," Internat. J. Game Theory 11 (1982), 183-194.
15. "Sums of block alternating harmonic series," Mathematics Notes from Washington State University 24 (1981) No. 2, 1-4.
14. "Uniqueness of equilibrium points in bimatrix games," Internat. J. Game Theory 8 (1979), 13-25.
13. "Midpoint solutions of x^x = a^b," Mathematics Magazine 51 (1978), 181-183.
12. (with C. B. Millham) "Nash subsets and mobility chains," Naval Research Logistics Quarterly 23 (1976), 311-319
11.  "On completely mixed strategies in bimatrix games," J. London Math. Soc. (2) 11 (1975, 17-20.
10. "Discrete ordered rings," Fundamenta Mathematicae LXXXV (1974), 121-138
 9. "Spaces of strongly continuous functions," Caribbean Journal of Science and Mathematics 2 (1972), 53-63.
 8. "Continuous multiplications on R@," Mathematics Magazine 45 (1972), 72-77.
 7. "The derivative of the total variation function," Amer. Math. Monthly 78 (1971), 1110-1112
 6. "Rational numbers generated by two integers," Amer. Math. Monthly 78 (1971), 996-997
 5. "On counting infinite sets," Discourse X (1967), 36-46.
 4. "A property of functions continuous on a dense set," Amer. Math. Monthly 73 (1966), 378-379.
 3. "Fuctions continuous at the irrationals and discontinuous at the rationals," Amer. Math. Monthly 72 (1965), 370-373.
 2. (with J. A. Lindberg, Jr.) "Algebraic extensions of continuous function algebras," Proc. Amer. Math. Soc. 14 (1963), 337-342.
 1. "Estimation in a certain probability problem,"  Amer. Math. Monthly, 66 (1959), 704-706.