Defining Rules in Cost Spanning Tree Problems Through the Canonical Form
AbstractWe define the canonical form of a cost spanning tree problem. The canonical form has the property that reducing the cost of any arc, the minimal cost of connecting agents to the source is also reduced. We argue that the canonical form is a relevant concept in this kind of problems and study a rule using it. This rule satisfies much more interesting properties than other rules in the literature. Furthermore we provide two characterizations. Finally, we present several approaches to this rule without using the canonical form.
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Bibliographic InfoPaper provided by Fondazione Eni Enrico Mattei in its series Working Papers with number 2004.97.
Date of creation: Jun 2004
Date of revision:
Cost spanning tree; Rules; Canonical form;
Other versions of this item:
- Gustavo Bergantiños & Juan Vidal-Puga, 2004. "Defining rules in cost spanning tree problems through the canonical form," Game Theory and Information 0402004, EconWPA.
- C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
- D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General
- D85 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Network Formation
This paper has been announced in the following NEP Reports:
- NEP-ALL-2004-07-18 (All new papers)
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