CoopGame (version 0.2.2)

bankruptcyGameVector: Compute game vector for a bankruptcy game

Description

Game vector for a specified bankruptcy game: For further information see bankruptcyGame

Usage

bankruptcyGameVector(n, d, E)

Arguments

n

represents the number of players

d

numeric vector which contains the claims of each player in a bankruptcy game

E

is the value of the estate in a bankruptcy game

Value

Game Vector where each element contains a positive value if the sum of the claims outside of coalition 'S' is less than E else 0

References

O'Neill, B. (1982) "A problem of rights arbitration from the Talmud", Mathematical Social Sciences 4(2), pp. 345 -- 371

Aumann R.J. and Maschler M. (1985) "Game Theoretic Analysis of a Bankruptcy Problem from the Talmud", Journal of Economic Theory 36(1), pp. 195 -- 213

Aumann R.J. (2002) "Game Theory in the Talmud", Research Bulletin Series on Jewish Law and Economics, 12 pages.

Gura E. and Maschler M. (2008) Insights into Game Theory, Cambridge University Press, pp. 166--204

Examples

# NOT RUN {
library(CoopGame)
bankruptcyGameVector(n=3, d=c(1,2,3), E=4)

# }
# NOT RUN {
#Estate division problem from Babylonian Talmud
#from paper by Aumann (2002) with E=300
library(CoopGame)
bankruptcyGameVector(n=3,d=c(100,200,300),E=300)
#Output
#[1] 0   0   0   0 100 200 300
# }
# NOT RUN {
# }