Balanced Silverman Games on General Discrete Sets

ISBN-13: 9783540543725 / Angielski / Miękka / 1991 / 140 str.

Gerald A. Heuer; Ulrike Leopold-Wildburger

Opis

Considers Silverman games, games which within certain bounds the player with the larger number wins, but loses if it is too much larger than the other player. The games model various bidding or spending situations governed by rules of this nature.

Spis treści

1. Introduction.- 2. Games with saddle points.- 3. The 2 by 2 games.- 4. Some games which reduce to 2 by 2 when ? ? 1.- 5. Reduction by dominance.- 6. Balanced 3 by 3 games.- 7. Balanced 5 by 5 games.- 8. Reduction of balanced games to odd order.- 9. Reduction of balanced games to even order.- 10. Games with ±1 as central diagonal element.- 11. Further reduction to 2 by 2 when ? = 1.- 12. Explicit solutions for certain classes.- 13. Concluding remarks on irreducibility.- References.

O autorze

Univ. Prof. Dr. Ulrike Leopold-Wildburger, Universitätsprofessor für Wirtschaftsmathematik und Operations Research. Verfasserin zahlreicher Bücher und Artikel in Fachzeitschriften, mehrere best paper und research awards.