Minimum Cost Spanning Tree Games and Population Monotonic Allocation Schemes

H.W. Norde, S. Moretti, S.H. Tijs

Research output: Working paperDiscussion paperOther research output

Abstract

In this paper we present the Subtraction Algorithm that computes for every classical minimum cost spanning tree game a population monotonic allocation scheme.As a basis for this algorithm serves a decomposition theorem that shows that every minimum cost spanning tree game can be written as nonnegative combination of minimum cost spanning tree games corresponding to 0-1 cost functions.It turns out that the Subtraction Algorithm is closely related to the famous algorithm of Kruskal for the determination of minimum cost spanning trees.For variants of the classical minimum cost spanning tree games we show that population monotonic allocation schemes do not necessarily exist.
Original language English Tilburg Microeconomics 21 2001-18 Published - 2001

Publication series

Name CentER Discussion Paper 2001-18

Costs
Cost functions
Decomposition

Keywords

• operational research
• cost allocation
• game theory

Cite this

Norde, H. W., Moretti, S., & Tijs, S. H. (2001). Minimum Cost Spanning Tree Games and Population Monotonic Allocation Schemes. (CentER Discussion Paper; Vol. 2001-18). Tilburg: Microeconomics.
Norde, H.W. ; Moretti, S. ; Tijs, S.H. / Minimum Cost Spanning Tree Games and Population Monotonic Allocation Schemes. Tilburg : Microeconomics, 2001. (CentER Discussion Paper).
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Norde, HW, Moretti, S & Tijs, SH 2001 'Minimum Cost Spanning Tree Games and Population Monotonic Allocation Schemes' CentER Discussion Paper, vol. 2001-18, Microeconomics, Tilburg.

Minimum Cost Spanning Tree Games and Population Monotonic Allocation Schemes. / Norde, H.W.; Moretti, S.; Tijs, S.H.

Tilburg : Microeconomics, 2001. (CentER Discussion Paper; Vol. 2001-18).

Research output: Working paperDiscussion paperOther research output

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AU - Moretti, S.

AU - Tijs, S.H.

N1 - Pagination: 21

PY - 2001

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N2 - In this paper we present the Subtraction Algorithm that computes for every classical minimum cost spanning tree game a population monotonic allocation scheme.As a basis for this algorithm serves a decomposition theorem that shows that every minimum cost spanning tree game can be written as nonnegative combination of minimum cost spanning tree games corresponding to 0-1 cost functions.It turns out that the Subtraction Algorithm is closely related to the famous algorithm of Kruskal for the determination of minimum cost spanning trees.For variants of the classical minimum cost spanning tree games we show that population monotonic allocation schemes do not necessarily exist.

AB - In this paper we present the Subtraction Algorithm that computes for every classical minimum cost spanning tree game a population monotonic allocation scheme.As a basis for this algorithm serves a decomposition theorem that shows that every minimum cost spanning tree game can be written as nonnegative combination of minimum cost spanning tree games corresponding to 0-1 cost functions.It turns out that the Subtraction Algorithm is closely related to the famous algorithm of Kruskal for the determination of minimum cost spanning trees.For variants of the classical minimum cost spanning tree games we show that population monotonic allocation schemes do not necessarily exist.

KW - operational research

KW - cost allocation

KW - game theory

M3 - Discussion paper

VL - 2001-18

T3 - CentER Discussion Paper

BT - Minimum Cost Spanning Tree Games and Population Monotonic Allocation Schemes

PB - Microeconomics

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Norde HW, Moretti S, Tijs SH. Minimum Cost Spanning Tree Games and Population Monotonic Allocation Schemes. Tilburg: Microeconomics. 2001. (CentER Discussion Paper).