CCrule {AirportProblems} | R Documentation |
Core-center rule
Description
CCrule
calculates the contribution vector selected by the CC rule.
Usage
CCrule(c)
Arguments
c |
A numeric cost vector. |
Details
The core-center rule, CC, assigns to each c\in C^N
the contribution vector given by the mean value of
U(c)\thicksim U(\text{NS}(c))
, that is,
\text{CC}(c)=\mathbb{E}[U(\text{NS}(c))].
Therefore, this rule is the center of gravity of the set of allocations satisfying the no-subsidy constraints. It
coincides with the core-center of the cooperative game v
associated with c\in C^N
.
Value
A numeric contribution vector, where each element represents the payment of the different agents.
Note
The execution time of the function may significantly increase if the number of agents exceeds 150.
References
González-Díaz, J. and Sánchez-Rodríguez, E. (2007). A natural selection from the core of a TU game: the core-center. International Journal of Game Theory, 36, 27-26.
González-Díaz, J., Mirás Calvo, M. Á., Quinteiro Sandomingo, C., and Sánchez-Rodríguez (2015). Monotonicity of the core-center of the airport game. TOP, 23, 773-798.
González-Díaz, J., Mirás Calvo, M. Á., Quinteiro Sandomingo, C., and Sánchez-Rodríguez (2016). Airport games: the core and its center. Mathematical Social Sciences, 82, 105-115.
See Also
NSset
, basicrule
, clonesrule
hierarchicalrule
Examples
c <- c(1, 3, 7, 10) # Cost vector
CCrule(c)