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Reverse game: from Nash equilibrium to network structure, number and probability of occurrence [PDF]
Royal Society Open ScienceIn this paper, we introduce a reverse game approach to network-modelled games to determine the network structure among players that can achieve a desired Nash equilibrium. We consider three types of network games: the majority game, the minority game and
Ali Ebrahimi, Mehdi Sadeghi
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Nash Equilibrium and Bisimulation Invariance [PDF]
Logical Methods in Computer Science, 2019 Game theory provides a well-established framework for the analysis of concurrent and multi-agent systems. The basic idea is that concurrent processes (agents) can be understood as corresponding to players in a game; plays represent the possible ...
Julian Gutierrez +3 more
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Symmetry-breaking and trade in neoclassical economies with domestic policies having diminishing effect to production scale [PDF]
Fulbright Review of Economics and Policy, 2023 Purpose – The aim of this paper is to investigate whether a Nash equilibrium of a two-country trading economy is symmetry-breaking or not. Design/methodology/approach – The approach to tackle this topic is a theoretical treatment by the general ...
Tsuyoshi Shinozaki +2 more
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Infinite sequential Nash equilibrium [PDF]
Logical Methods in Computer Science, 2013 In game theory, the concept of Nash equilibrium reflects the collective stability of some individual strategies chosen by selfish agents. The concept pertains to different classes of games, e.g. the sequential games, where the agents play in turn.
Stephane Le Roux
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Logit equilibrium as an approximation of Nash equilibrium [PDF]
Operations Research Letters, 2020 We prove that the graph of the logit equilibrium correspondence is a smooth manifold, which uniformly approximates the graph of the Nash equilibrium manifold.
Eilon Solan, Omri N. Solan
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The Nash equilibrium: A perspective [PDF]
Proceedings of the National Academy of Sciences, 2004 In 1950, John Nash contributed a remarkable one-page PNAS article that defined and characterized a notion of equilibrium for n- person games. This notion, now called the “Nash equilibrium,” has been widely applied and adapted in economics and other behavioral sciences.
Holt, Charles A., Roth, Alvin E.
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Mathematics, 2023 Based on our previous research, this paper further discusses the multi-objective bi-matrix game with fuzzy payoffs (MBGFP), which is a special case of the fuzzy constrained multi-objective game with fuzzy payoffs.
Wen Li, Deyi Li, Yuqiang Feng, Du Zou
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Nash Equilibrium to Competitive Equilibrium Mechanisms Design: Subsidization and Punishment
IEEE Access, 2021 Due to the small number of participants in realistic cases, the Nash equilibrium generated by an oligopolistic market is more appropriate for depicting the actual energy market than the competitive equilibrium generated by a competitive market.
Kaiying Lin +3 more
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Effects of Competition Intensities and R&D Spillovers on a Cournot Duopoly Game of Digital Economies
Fractal and Fractional, 2023 In this paper, we introduce a Cournot duopoly game that can characterize fierce competition in digital economies and employ it to examine the effects of research and development (R&D) spillovers while considering various competition intensities.
Xiaoliang Li, Li Su, Jianjun Wang
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Equilibrium in Nash’s mind [PDF]
SSRN Electronic Journal, 2020 Donald Capps suggested the hypothesis that “the Nash equilibrium is descriptive of the normal brain, whereas the game theory formulated by John van Neumann, which Nash’s theory challenges, is descriptive of the schizophrenic brain”. The paper offers arguments in its favor. They are from psychiatry, game theory, set theory, philosophy and theology.
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