Solution concepts in hypergames

Wang, Muhong; Hipel, Keith W.; Fraser, Niall M.

doi:10.1016/0096-3003(89)90102-1

Cited by 64 publications

(22 citation statements)

References 10 publications

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“…For example, Walker et al (2010) consider the effects of attitudes of DMs in a strategic study of a brownfield redevelopment project which took place in Kitchener, Ontario, Canada. The study of the evolution of conflicts (Li et al, 2004b(Li et al, , 2005, coalitions (Hipel and Fraser, 1991;Kilgour et al, 2001;Hipel, 2008a, 2008b), and misunderstanding (Okada et al, 1985;Wang et al, 1989) have also been important in the development of conflict analysis methods. Within all three types of environmental conflict modeling (Figure 2), implementation algorithms are needed to perform the analysis.…”

Section: Environmental Conflicts and Formal Conflict Modelsmentioning

confidence: 99%

Conflict analysis in environmental management

Hipel

Walker

2010

Environmetrics

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A wide variety of formal conflict analysis models and their applications to environmental conflicts are examined and put into perspective. In particular, the history of game theoretic models for conflict as well as their use in mitigating or resolving environmental conflicts is studied. The models and problem types are categorized to allow for a better understanding of the contrasting areas of environmental conflict management. Finally, the Graph Model for Conflict Resolution (GMCR) is applied to a generic conflict between developers and environmentalists to illustrate the usefulness of GMCR in environmental applications.

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Section: Environmental Conflicts and Formal Conflict Modelsmentioning

confidence: 99%

Conflict analysis in environmental management

Hipel

Walker

2010

Environmetrics

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“…If A believes that B has an improvement z from an outcome y such that x P G AA z, then A will decide not to take the action associated with the improvement y, hence invalidating the basic assumption behind the notion of Nash equilibrium. This problem can be addressed with the concept of sequential rationality [17], [18], [11].…”

Section: B Equilibria and Stabilitymentioning

confidence: 99%

“…In this section, we review the basic notions from hypergame theory [11], [16], [10]. We also introduce the useful concept of H-digraph for analyzing stability in hypergames.…”

Section: A New Framework For Hypergamesmentioning

confidence: 99%

“…[8] shows that there exist games with incomplete Bahman Gharesifard and Jorge Cortés are with the Department of Mechanical and Aerospace Engineering, University of California San Diego, {bgharesifard,cortes}@ucsd.edu information in which players almost never learn to predict their opponents' behavior. Our technical approach makes use of the framework of hypergames [9], [10], [11], [12]. A hypergame is a generalization of the concept of game that explicitly models the possibility of different agents having different perceptions about the scenario they are involved in.…”

Section: Introductionmentioning

confidence: 99%

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Evolution of the perception about the opponent in hypergames

Gharesifard

Cortés

2010

49th IEEE Conference on Decision and Control (CDC)

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This paper studies the evolution of the perceptions of players about the game they are involved in using the framework of hypergame theory. The focus is on developing methods that players can implement to modify their perception about other players' payoffs by incorporating the lessons learned from observing their actions. We introduce a misperception function that measures the mismatch between a player's perception and the true payoff structure of the other players. Our first update mechanism, called swap learning method, is guaranteed to decrease the value of the misperception function but in general can lead to inconsistencies in the stability properties of the resulting perception. This motivates the introduction of a second mechanism, called modified swap update method, that is guaranteed to produce a consistent perception. Finally, we identify a class of hypergames for which the modified strategy is also guaranteed to decrease the misperception function.

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“…Stability analysis determines for each state its individual stability and group stability for all DMs (equilibrium) under appropriate stability definitions (solution concepts), where equilibria often correspond to potential resolutions of the conflict. In 1989, Wang et al [27] defined solution concepts in Hypergames. Recently, Hamouda et al [10] proposed new solution concepts that take strength of preference into account.…”

Section: Introductionmentioning

confidence: 99%

A matrix approach to status quo analysis in the graph model for conflict resolution

Hipel

et al. 2009

Applied Mathematics and Computation

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An algebraic method is developed to carry out status quo analysis within the framework of the graph model for conflict resolution. As a post-stability analysis, the status quo analysis aims at assessing whether predicted equilibria are reachable from the status quo or any other initial state.Although pseudo-codes for status quo analysis have been developed, they are not yet implemented into a decision support system for use in practical applications. On the contrary, the novel matrix approach to status quo analysis designed here is convenient for computer implementations and an application to a real-orld conflict case study demonstrates its ease of employment. Moveover, the proposed explicit matrix approach reveals an inherent link between status quo analysis and the traditional stability analysis and, hence, provides the possibility of establishing an integrated paradigm for stability and status quo analyses. Thank you, once again, for your time and effort in processing our article. I look forward to possibly seeing our paper appear in your fine journal. AbstractAn algebraic method is developed to carry out status quo analysis within the framework of the graph model for conflict resolution. As a post-stability analysis, the status quo analysis aims at assessing whether predicted equilibria are reachable from the status quo or any other initial state. Although pseudo-codes for status quo analysis have been developed, they are not yet implemented into a decision support system for use in practical applications. On the contrary, the novel matrix approach to status quo analysis designed here is convenient for computer implementations and an application to a real-world conflict case study demonstrates its ease of employment. Moveover, the proposed explicit matrix approach reveals an inherent link between status quo analysis and the traditional stability analysis and, hence, provides the possibility of establishing an integrated paradigm for stability and status quo analyses.

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Solution concepts in hypergames

Cited by 64 publications

References 10 publications

Conflict analysis in environmental management

Conflict analysis in environmental management

Evolution of the perception about the opponent in hypergames

A matrix approach to status quo analysis in the graph model for conflict resolution

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