On Some Properties of Cost Allocation Rules in Minimum Cost Spanning Tree Problems

نویسندگان

  • Gustavo Bergantiños
  • Juan Vidal-Puga
  • G. Bergantiños
  • J. Vidal-Puga
چکیده

We consider four cost allocation rules in minimum cost spanning tree problems. These rules were introduced by Bird (1976), Dutta and Kar (2004), Kar (2002), and Feltkamp, Tijs and Muto (1994), respectively. We give a list of desirable properties and we study which properties are satisfied by these rules.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

A Metaheuristic Algorithm for the Minimum Routing Cost Spanning Tree Problem

The routing cost of a spanning tree in a weighted and connected graph is defined as the total length of paths between all pairs of vertices. The objective of the minimum routing cost spanning tree problem is to find a spanning tree such that its routing cost is minimum. This is an NP-Hard problem that we present a GRASP with path-relinking metaheuristic algorithm for it. GRASP is a multi-start ...

متن کامل

A fair rule in minimum cost spanning tree problems

We study minimum cost spanning tree problems and de…ne a cost sharing rule that satis…es many more properties than other rules in the literature. Furthermore, we provide an axiomatic characterization based on monotonicity properties. Keywords: Spanning tree. Cost allocation. Monotonicity. JEL Classi…cation Numbers: C71, D63, D7.

متن کامل

Obligation rules for minimum cost spanning tree situations and their monotonicity properties

We introduce the class of Obligation rules for minimum cost spanning tree situations. The main result of this paper is that such rules are cost monotonic and induce also population monotonic allocation schemes. Another characteristic of Obligation rules is that they assign to a minimum cost spanning tree situation a vector of cost contributions which can be obtained as product of a double stoch...

متن کامل

Cost monotonicity, consistency and minimum cost spanning tree games

We propose a new cost allocation rule for minimum cost spanning tree games. The new rule is a core selection and also satis...es cost monotonicity. We also give characterization theorems for the new rule as well as the much-studied Bird allocation. We show that the principal di¤erence between these two rules is in terms of their consistency properties. JEL Classi...cation Numbers: D7

متن کامل

Minimum Cost Arborescences ∗ Bhaskar Dutta † Debasis Mishra

In this paper, we analyze the cost allocation problem when a group of agents or nodes have to be connected to a source, and where the cost matrix describing the cost of connecting each pair of agents is not necessarily symmetric, thus extending the well-studied problem of minimum cost spanning tree games, where the costs are assumed to be symmetric. The focus is on rules which satisfy axioms re...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2009