CCrule: Core-center rule

In AirportProblems: Analysis of Cost Allocation for Airport Problems

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)

AirportProblems documentation built on June 8, 2025, 10:49 a.m.