Fuzzy Games and Equilibria: The Perspective of the General Theory of Games on Nash and Normative Equilibria

Burns, Tom; Roszkowska, Ewa

doi:10.1007/978-3-642-18859-6_17

Cited by 9 publications

(19 citation statements)

References 15 publications

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“…Players' model(s) of the game situation may be based on highly incomplete, fuzzy, or even false information about the game situation as well as game structure. Imprecise (or fuzzy/rough) data as well as imprecise rules and norms, strategies, and judgment processes about the game and game situation (Burns and Roszkowska 2004;Roszkowska and Burns 2010). 18 Imprecise (or fuzzy/rough) data as well as imprecise rules and norms, strategies, and judgments are common.…”

Section: Agency and Actors' Capabilities And Endowmentsmentioning

confidence: 99%

“…(6) Judgment-a core concept in SGT Gomolinska 2000, 2001;Burns and Roszkowska 2004;. The major basis of judgment is a process of comparing and determining similarity.…”

Section: Appendix a Elaboration Of Sgt Appendix A1 Foundationsmentioning

confidence: 99%

“…Players' model(s) of the game situation may be based on highly incomplete, fuzzy, or even false information. Imprecise (or fuzzy/rough) data as well as imprecise rules and norms, strategies, and judgment processes are common (Burns and Roszkowska 2004;Roszkowska and Burns 2010). Modelling and reasoning processes typically do not follow standard logic ("bounded rationality").…”

Section: Role(it) = [Model(it) Value(it) Act(it) J(it) Det (mentioning

confidence: 99%

“…The rule complex VALUE entails then one or more values, value orientations or goals which orient and motivate actors in their game situation(s). A single value may be quantitative or qualitative (possibly fuzzy (Burns and Roszkowska 2004;Roszkowska and Burns 2010)). …”

Section: Role(it) = [Model(it) Value(it) Act(it) J(it) Det (mentioning

confidence: 99%

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Paradigm Shift in Game Theory: Sociological Re-Conceptualization of Human Agency, Social Structure, and Agents’ Cognitive-Normative Frameworks and Action Determination Modalities

et al. 2018

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Abstract:This article aims to present some of the initial work of developing a social science grounded game theory-as a clear alternative to classical game theory. Two distinct independent initiatives in Sociology are presented: One, a systems approach, social systems game theory (SGT), and the other, Erving Goffman's interactionist approach (IGT). These approaches are presented and contrasted with classical theory. They focus on the social rules, norms, roles, role relationships, and institutional arrangements, which structure and regulate human behavior. While strategic judgment and instrumental rationality play an important part in the sociological approaches, they are not a universal or dominant modality of social action determination. Rule following is considered, generally speaking, more characteristic and more general. Sociological approaches, such as those outlined in this article provide a language and conceptual tools to more adequately and effectively than the classical theory describe, model, and analyze the diversity and complexity of human interaction conditions and processes: (1) complex cognitive rule based models of the interaction situation with which actors understand and analyze their situations; (2) value complex(es) with which actors operate, often with multiple values and norms applying in interaction situations; (3) action repertoires (rule complexes) with simple and complex action alternatives-plans, programs, established (sometimes highly elaborated) algorithms, and rituals; (4) a rule complex of action determination modalities for actors to generate and/or select actions in game situations; three action modalities are considered here; each modality consists of one or more procedures or algorithms for action determination: (I) following or implementing a rule or rule complex, norm, role, ritual, or social relation; (II) selecting or choosing among given or institutionalized alternatives according to a rule or principle; and (III) constructing or adopting one or more alternatives according to a value, guideline, or set of criteria. Such determinations are often carried out collectively. The paper identifies and illustrates in a concluding table several of the key differences between classical theory and the sociological approaches on a number of dimensions relating to human agency; social structure, norms, institutions, and cultural forms; patterns of game interaction and outcomes, the conditions of cooperation and conflict, game restructuring and transformation, and empirical relevance. Sociologically based game theory, such as the contributions outlined in this article suggest a language and conceptual tools to more adequately and effectively than the classical theory describe, model, and analyze the diversity, complexity, and dynamics of human interaction conditions and processes and, therefore, promises greater empirical relevance and scientific power. An Appendix provides an elaboration of SGT, concluding that one of SGT's major contributions is the rule based conceptualization of g...

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Section: Agency and Actors' Capabilities And Endowmentsmentioning

confidence: 99%

“…(6) Judgment-a core concept in SGT Gomolinska 2000, 2001;Burns and Roszkowska 2004;. The major basis of judgment is a process of comparing and determining similarity.…”

Section: Appendix a Elaboration Of Sgt Appendix A1 Foundationsmentioning

confidence: 99%

Section: Role(it) = [Model(it) Value(it) Act(it) J(it) Det (mentioning

confidence: 99%

Section: Role(it) = [Model(it) Value(it) Act(it) J(it) Det (mentioning

confidence: 99%

See 2 more Smart Citations

Paradigm Shift in Game Theory: Sociological Re-Conceptualization of Human Agency, Social Structure, and Agents’ Cognitive-Normative Frameworks and Action Determination Modalities

et al. 2018

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“…Sociological Game Theory (SGT) has been applied in a number of areas and its relation to classical game theory has been specified and analyzed (Burns, 1990(Burns, , 1994, 2000Burns, Roszkowska, 2004, 2005, 2006a. This approach stresses the institutional and cultural embeddedness of games and other forms of social interaction (Buckley et al, 1974;Granovetter, 1985).…”

Section: The Structural Embeddedness Of Social Interaction and Gamesmentioning

confidence: 99%

Distributive Justice: From Steinhaus, Knaster, and Banach to Elster and Rawls — The Perspective of Sociological Game Theory

Burns¹,

Roszkowska

Johansson

2014

Studies in Logic, Grammar and Rhetoric

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Abstract. This article presents a relatively straightforward theoretical framework about distributive justice with applications. It draws on a few key concepts of Sociological Game Theory (SGT). SGT is presented briefly in section 2. Section 3 provides a spectrum of distributive cases concerning principles of equality, differentiation among recipients according to performance or contribution, status or authority, or need. Two general types of social organization of distributive judgment are distinguished and judgment procedures or algorithms are modeled in each type of social organization. Section 4 discusses briefly the larger moral landscapes of human judgment -how distribution may typically be combined with other value into consideration. The article suggests that Rawls, Elster, and Machado point in this direction. Finally, it is suggested that the SGT framework presented provides a useful point of departure to systematically link it and compare the Warsaw School of Fair Division, Rawls, and Elster, among others.

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Generalized Game Theory’s Contribution to Multi-agent Modelling

Burns

Caldas²,

Roszkowska

Advances in Soft Computing

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Fuzzy Games and Equilibria: The Perspective of the General Theory of Games on Nash and Normative Equilibria

Cited by 9 publications

References 15 publications

Paradigm Shift in Game Theory: Sociological Re-Conceptualization of Human Agency, Social Structure, and Agents’ Cognitive-Normative Frameworks and Action Determination Modalities

Paradigm Shift in Game Theory: Sociological Re-Conceptualization of Human Agency, Social Structure, and Agents’ Cognitive-Normative Frameworks and Action Determination Modalities

Distributive Justice: From Steinhaus, Knaster, and Banach to Elster and Rawls — The Perspective of Sociological Game Theory

Generalized Game Theory’s Contribution to Multi-agent Modelling

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