Use Of The Graph Model For Conflict Resolution
In Water Resources Problems In Brazil
Author(s)
V. de Fátima Malta, J. M. Damázio & P. C. de Magalhães
Abstract
This paper presents an application of the Graph Model for Conflict Resolution
(GMCR), developed by Fang et al. [1], for water resources management
problems in Brazil. The main aspects of the formal development of the GMCR
model are described in terms of its basic components (decision makers, options,
strategies and preferences), key concepts (stable states, equilibrium states and
stability criteria), and mathematical representation of conflicts by sets of oriented
graphs and payoff functions. The equations for the stability analysis of conflicts
with at least two decision makers for different stability criteria are provided. The
model is used to analyze the importance of the water management institutional
system in the solution of a conflict over the use of the water in the Lima
Campos/Orós system of reservoirs located in the Northeast of Brazil.
Keywords: conflict analysis, water resources management, game theory, graph
theory, Graph Model for Conflict Resolution (GMCR).
1 Introduction
It is well known that the Brazilian territory is covered by several big rivers, and
presents an average surface water production of approximately 250.000m3/s (the
whole Europe produces around 100.000m3/s). In the Northeast of Brazil, the
value of production of surface water is low, and even in the most humid areas
long periods of shortage occur frequently. Despite its large amount of surface
water, economic and social development in Brazil faces not only shortage of
financial resources, but also problems due to multiple use of water (Malta et al.
[2]).
Keywords
conflict analysis, water resources management, game theory, graphtheory, Graph Model for Conflict Resolution (GMCR).
Related Book
Other papers in this volume
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