Fuzzy Prisoner’s Dilemma

Kandel, Abraham; Zhang, Y. Q.; Borges, Paulo S. S.

doi:10.25102/fer.1998.01.01

Cited by 5 publications

(2 citation statements)

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“…It is easy-to-use, flexible, and provides a good understanding of how DMs should choose what to do. Of course, there are alternative systems to model and analyze strategic conflicts that are distinct from non-cooperative game theory; they include metagame analysis (Howard, 1971), conflict analysis (Fraser and Hipel, 1984), drama theory (Howard, 1999), theory of moves (Brams, 1994), and theory of fuzzy moves (Kandel et al, 1998;Li et al, 2001). For a broader view of related approaches and results, see the Encyclopedia section introduced by Hipel (2002).…”

Section: What Is a Strategic Conflict?mentioning

confidence: 98%

The Graph Model for Conflict Resolution: Past, Present, and Future

2005

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The Graph Model for Conflict Resolution is a methodology for the modeling and analysis of strategic conflicts. An historical overview of the graph model is presented, including the basic modeling and analysis components of the methodology, the decision support system GMCR II that is now used to apply it, and the recent initiatives that are currently in various stages of development. The capacity of this simple, flexible system to provide advice to decision-makers facing strategic conflicts is emphasized throughout, and illustrated using a real-life groundwater contamination dispute. MotivationThere were two major reasons for developing the methodology of the Graph Model for Conflict Resolution, and later its associated decision support system GMCR II. First, there was a perceived demand for a comprehensive methodology to understand conflict decision-making and conflict resolution. The ubiquity of conflicts means that support is needed not only by decision-makers, but also by mediators -who propose resolutions -and policy-makers who determine the structures within which conflicts are played out. The inescapability of conflict implies that the need for the graph model will continue for as long as humans interact.The second motivation was a view that existing methods failed to provide the kind of analysis and advice that was needed, either because they were too inflexible to be used in most conflict situations, or because they demanded so much information and calibration that they became impractical. The graph model was designed to be simple and flexible, and to have minimal information requirements. At the same time, the suggestions that it makes encourage disputants to 'think outside the box."This paper summarizes the development of the Graph Model, which began in the early 1980s and continues to the present day. The approach is roughly historical: after a discussion of strategic conflicts (Section 2), the basics of the Graph Model are set out in Section 3 (Past),

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Section: What Is a Strategic Conflict?mentioning

confidence: 98%

The Graph Model for Conflict Resolution: Past, Present, and Future

2005

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“…Moreover, boundary conditions also must be satisfied to assure that these operations on fuzzy sets behave as set operations. 12,13 In the next section, an example of parameterized fuzzy intersections and parameterized fuzzy unions, the Yager class, is given and a simple parameterized negation operator is introduced.…”

Section: Introductionmentioning

confidence: 99%

Parameterized fuzzy operators in fuzzy decision making

Song

Kandel

Schneider

2003

Int. J. Intell. Syst.

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The basic operations of fuzzy sets, such as negation, intersection, and union, usually are computed by applying the one-complement, minimum, and maximum operators to the membership functions of fuzzy sets. However, different decision agents may have different perceptions for these fuzzy operations. In this article, the concept of parameterized fuzzy operators will be introduced. A parameter ␣ will be used to represent the degree of softness. The variance of ␣ captures the differences of decision agents' subjective attitudes and characteristics, which result in their differing perceptions. The defined parameterized fuzzy operators also should satisfy the axiomatic requirements for the traditional fuzzy operators. A learning algorithm will be proposed to obtain the parameter ␣ given a set of training data for each agent. In this article, the proposed parameterized fuzzy operators will be used in individual decision-making problems. An example is given to show the concept and application of the parameterized fuzzy operators.

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A Dynamic Game-theoretic Approach to the Modified Prisoner's Dilemma

Banerjee

2005

Logic Journal of the IGPL

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Fuzzy Prisoner’s Dilemma

Cited by 5 publications

References 0 publications

The Graph Model for Conflict Resolution: Past, Present, and Future

The Graph Model for Conflict Resolution: Past, Present, and Future

Parameterized fuzzy operators in fuzzy decision making

A Dynamic Game-theoretic Approach to the Modified Prisoner's Dilemma

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