Title

Non-Cooperative Stability Definitions For Strategic Analysis Of Generic Water Resources Conflicts

Keywords

Conflict resolution; Game theory; Non-cooperative behavior; Policy; Solution concepts; Stability definitions; Strategic game; Water resources management

Abstract

In game theory, potential resolutions to a conflict are found through stability analysis, based on stability definitions having precise mathematical structures. A stability definition reflects a decision maker's behavior in a conflict or game, predicts how the game is played, and suggests the resolutions or equilibria of the dispute. Various stability definitions, reflecting different types of people with different levels of foresight, risk attitude, and knowledge of opponents' preferences, have been proposed for resolving games. This paper reviews and illustrates six stability definitions, applicable to finite strategy strategic non-cooperative water resources games, including Nash Stability, General Metarationality (GMR), Symmetric Metarationality (SMR), Sequential Stability (SEQ), Limited-Move Stability, and Non-Myopic Stability. The introduced stability definitions are applied to an interesting and highly informative range of generic water resources games to show how analytical results vary based on the applied stability definitions. The paper suggests that game theoretic models can better simulate real conflicts if the applied stability definitions better reflect characteristics of the players. When there is a lack of information about the types of decision makers, the employment of a range of stability definitions might improve the strategic results and provide useful insights into the basic framework of the conflict and its resolution. © 2011 Springer Science+Business Media B.V.

Publication Date

6-1-2011

Publication Title

Water Resources Management

Volume

25

Issue

8

Number of Pages

1949-1977

Document Type

Review

Personal Identifier

scopus

DOI Link

https://doi.org/10.1007/s11269-011-9783-4

Socpus ID

79956144008 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/79956144008

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