Balanced Silverman Games on General Discrete Sets
- ISBN-10
- 3642956637
- ISBN-13
- 9783642956638
- Category
- Business & Economics
- Pages
- 140
- Language
- English
- Published
- 2012-12-06
- Publisher
- Springer Science & Business Media
- Authors
- Gerald A. Heuer, Ulrike Leopold-Wildburger
Description
A Silverman game is a two-person zero-sum game defined in terms of two sets S I and S II of positive numbers, and two parameters, the threshold T > 1 and the penalty v > 0. Players I and II independently choose numbers from S I and S II, respectively. The higher number wins 1, unless it is at least T times as large as the other, in which case it loses v. Equal numbers tie. Such a game might be used to model various bidding or spending situations in which within some bounds the higher bidder or bigger spender wins, but loses if it is overdone. Such situations may include spending on armaments, advertising spending or sealed bids in an auction. Previous work has dealt mainly with special cases. In this work recent progress for arbitrary discrete sets S I and S II is presented. Under quite general conditions, these games reduce to finite matrix games. A large class of games are completely determined by the diagonal of the matrix, and it is shown how the great majority of these appear to have unique optimal strategies. The work is accessible to all who are familiar with basic noncooperative game theory.
Get the book
Similar books
-
Taxation for Decision Makers, Binder Ready Version
By Shirley Dennis-Escoffier, Karen A. Fortin[LO 8.2] The Timberlake Corporation has an opportunity to sell its manufacturing facility to Carroll Corporation for $4,500,000. The property has a basis of ...
-
Taxation for Decision Makers, 2019 Edition
By Shirley Dennis-Escoffier, Karen A. Fortin[LO 9.2] The Timberlake Corporation has an opportunity to sell its manufacturing facility to Carroll Corporation for $4,500,000. The property has a basis of ...
-
Taxation for Decision Makers, 2020
By Shirley Dennis-Escoffier, Karen A. Fortin[LO 9.2] The Timberlake Corporation has an opportunity to sell its manufacturing facility to Carroll Corporation for $4,500,000. The property has a basis of ...
-
Keeping House in Lusaka
By Karen Tranberg Hansen1934. Memorandum on the Native Tribes and Tribal Areas of Northern Rhodesia . Lusaka : Government Printer . Timberlake , Michael , ed . 1985.
-
Encyclopedia of Community: From the Village to the Virtual World
By DAVID LEVINSON, KAREN CHRISTENSENTimberlake, L. (1987). Only one Earth. London: BBC Books: Earthscan. Tinker, I. (1987). Street foods: Testing assumptions about informal sector by women and ...
-
Taxation for Decision Makers 2006
By Shirley Dennis-Escoffier, Karen FortinThe Timberlake Corporation has an opportunity to sell its manufacturing facility to Carroll Corporation for $ 4,500,000 . The property has a basis of ...
-
Handbook of Organizational Performance: Behavior Analysis and Management
By William K Redmon, Thomas C Mawhinney, Carl Merle JohnsonTimberlake (1980, 1984) promulgated a behavioral-regulation analysis of learned performance that emphasizes the importance of behavioral.
-
Money and the Rule of Law: Generality and Predictability in Monetary Institutions
By Peter J. Boettke, Alexander William Salter, Daniel J. Smith190; Timberlake 1993, pp. 356–357). By increasing fiscal expenditures, President Carter may have successfully cornered the Fed into delaying tighter ...
-
Economic Politics: The Costs of Democracy
By William R. Keech, William R Keech( Timberlake , 1993 , p . 4 ) The same was true of the second Bank of the United States , which was chartered in 1816. However , under the leadership of ...
-
Handbook of Organizational Performance: Behavior Analysis and Management
By William K Redmon, Thomas C Mawhinney, Carl Merle JohnsonSchlinger, H. and Blakely, E. (1987). Function-altering effects of ... Timberlake, W. and Allison, J. (1974). Response deprivation: An empirical 48 HANDBOOK ...