Cooperative OR Games and Networks

A special issue of Games (ISSN 2073-4336).

Deadline for manuscript submissions: closed (31 December 2018) | Viewed by 6820

Special Issue Editors


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Guest Editor
Tilburg University, Tilburg, Netherlands
Interests: OR games; Terroristic networks; Efficiency in healthcare

E-Mail Website
Guest Editor
Tilburg University, Tilburg, Netherlands
Interests: OR games; Minimum cost spanning tree games; Risk allocation

Special Issue Information

Dear Colleagues,

This Special Issue focuses on cooperative OR games that are related to networks. This research started decades ago, and is still evolving. Among others, it resulted in Minimum Spanning Tree games, Traveling Salesman games, Coloring games, Assignment games, Flow games, and Chinese Postman Games. The research in this field is devoted to theoretical game properties (e.g. balancedness, submodularity), existing theoretical game solutions (e.g. Shapley value, nucleolus) and context-specific solutions (e.g., Bird rule). In this call, we would like to invite original research papers to this Special Issue of Games ”Cooperative OR Games and Networks” that follows this established line of research. Please consider the keywords below as merely indicative.

Prof. Dr. Herbert Hamers
Prof. Dr. Henk Norde
Guest Editors

Manuscript Submission Information

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Keywords

  • Cooperative OR games
  • Networks
  • Balancedness
  • Submodularity
  • Population Monotonic Allocation Schemes
  • Shapley value
  • Nucleolus

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Published Papers (1 paper)

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Research

18 pages, 528 KiB  
Article
Routing-Proofness in Congestion-Prone Networks
by Ruben Juarez and Michael Wu
Games 2019, 10(2), 17; https://doi.org/10.3390/g10020017 - 3 Apr 2019
Cited by 2 | Viewed by 6463
Abstract
We consider the problem of sharing the cost of connecting a large number of atomless agents in a network. The centralized agency elicits the target nodes that agents want to connect, and charges agents based on their demands. We look for a cost-sharing [...] Read more.
We consider the problem of sharing the cost of connecting a large number of atomless agents in a network. The centralized agency elicits the target nodes that agents want to connect, and charges agents based on their demands. We look for a cost-sharing mechanism that satisfies three desirable properties: efficiency which charges agents based on the minimum total cost of connecting them in a network, stand-alone core stability which requires charging agents not more than the cost of connecting by themselves directly, and limit routing-proofness which prevents agents from profitable reporting as several agents connecting from A to C to B instead of A to B. We show that these three properties are not always compatible for any set of cost functions and demands. However, when these properties are compatible, a new egalitarian mechanism is shown to satisfy them. When the properties are not compatible, we find a rule that meets stand-alone core stability, limit routing-proofness and minimizes the budget deficit. Full article
(This article belongs to the Special Issue Cooperative OR Games and Networks)
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