دورية أكاديمية

Games / Games over probability distributions revisited : new equilibrium models and refinements

التفاصيل البيبلوغرافية
العنوان: Games / Games over probability distributions revisited : new equilibrium models and refinements
المؤلفون: Rass, Stefan, König, Sandra, Schauer, Stefan
بيانات النشر: MDPI
سنة النشر: 2022
المجموعة: Johannes Kepler University Linz: JKU
مصطلحات موضوعية: game theory, security strategy, generalized game, loss distributions, decision making, Nash equilibrium, lexicographic optimization
جغرافية الموضوع: vls-obvuli-3445199
الوصف: This article is an overview of recent progress on a theory of games, whose payoffs are probability distributions rather than real numbers, and which have their equilibria defined and computed over a (suitably restricted yet dense) set of distributions. While the classical method of defining game models with real-valued utility functions has proven strikingly successful in many domains, some use cases from the security area revealed shortcomings of the classical real-valued game models. These issues motivated the use of probability distributions as a more complex object to express revenues. The resulting class of games displays a variety of phenomena not encountered in classical games, such as games that have continuous payoff functions but still no equilibrium, or games that are zero-sum but for which fictitious play does not converge. We discuss suitable restrictions of how such games should be defined to allow the definition of equilibria, and show the notion of a lexicographic Nash equilibrium, as a proposed solution concept in this generalized class of games. ; Version of record
نوع الوثيقة: article in journal/newspaper
وصف الملف: text/html
اللغة: English
تدمد: 2073-4336
العلاقة: vignette : https://epub.jku.at/titlepage/urn/urn:nbn:at:at-ubl:3-15707/128Test; urn:nbn:at:at-ubl:3-15707; https://resolver.obvsg.at/urn:nbn:at:at-ubl:3-15707Test; local:99147094653603331; system:AC16708541
DOI: 10.3390/g13060080
الإتاحة: https://doi.org/10.3390/g13060080Test
https://resolver.obvsg.at/urn:nbn:at:at-ubl:3-15707Test
حقوق: cc-by_4
رقم الانضمام: edsbas.3995CC62
قاعدة البيانات: BASE
الوصف
تدمد:20734336
DOI:10.3390/g13060080