bankruptcyGame {CoopGame}

Construct a bankruptcy game

Description

Create a list containing all information about a specified bankruptcy game:
The list contains the number of players, the claims vector, the estate and the bankruptcy game vector. Bankruptcy games are defined by a vector of debts d of n creditors (players) and an estate E less than the sum of the debt vector. The roots of bankruptcy games can be traced back to the Babylonian Talmud.

Usage

bankruptcyGame(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

A list with four elements representing the specified bankruptcy game (n, d, E, Game vector v)

Related Functions

bankruptcyGameValue, bankruptcyGameVector

Author(s)

Jochen Staudacher [e-mail]

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

library(CoopGame)
bankruptcyGame(n=3, d=c(1,2,3), E=4)


#Estate division problem from Babylonian Talmud 
#from paper by Aumann (2002) with E=300
library(CoopGame)
bankruptcyGame(n=3,d=c(100,200,300),E=300)
#Output
#$n
#[1] 3

#$d
#[1] 100 200 300

#$E
#[1] 300

#$v
#[1]   0   0   0   0 100 200 300