-stable model and essential equilibria

Miyazaki, Yusuke; Azuma, Hiromi

doi:10.1016/j.mathsocsci.2012.08.002

Cited by 11 publications

(5 citation statements)

References 11 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…eorem 1 improves eorem 4.6 in [5] and eorem 3.4 in [3], where the extended model Ω was extended. We also generalize eorem 3.10 in [6] where the structurally stability at ξ and robustness to ϵ-equilibria are extended to the structurally stability at (ξ, ε) and the robustness to (ξ, ε)-equilibria, respectively.…”

Section: The Extended Model ωmentioning

confidence: 99%

See 1 more Smart Citation

Extended Model on Structural Stability and Robustness to Bounded Rationality

et al. 2021

View full text Add to dashboard Cite

In this article, we focus on an extended model M ¯ of bounded rationality. Based on a rationality function with lower semicontinuity, we analyze the relationship between structural stability and robustness of Ω ¯ . To further demonstrate the applicability of our theory, we introduce a model Ω ¯ 0 containing an abstract rationality function and generalize abstract fuzzy economies. We demonstrate the structural stability of the extended model Ω ¯ 0 at ξ ¯ , ɛ . That is to say, Ω ¯ 0 is robust to the ξ ¯ , ɛ -equilibria.

show abstract

Section: The Extended Model ωmentioning

confidence: 99%

“…ese authors studied the stability and showed its robustness. Miyazaki and Azuma [5] investigated the structural stability and robustness of the model introduced in [2]. ey proved that if a system is (ξ, ε)-stable, then it is (ξ, ε)-robust.…”

Section: Introductionmentioning

confidence: 99%

Extended Model on Structural Stability and Robustness to Bounded Rationality

et al. 2021

View full text Add to dashboard Cite

show abstract

“…Characteristics of bounded rationality: In reality, comparing the players cannot be perfectly rational but often rational on a limited basis [24,25]. Bounded rationalities of the defender are mainly expressed as supervision will, which is determined through the strategy selection of the government with setting ρ as selection probability of β1 and 1−ρ as selection probability of β 2 .…”

Section: The General Settingmentioning

confidence: 99%

Collusion-Proof Mechanism in Compensation for Failed Generic Technological Innovation Projects: Based on Information Topology

Zhai

Xie

2019

Teh. vjesn.

View full text Add to dashboard Cite

Against the backdrop of innovation fault-tolerance, government compensation for failed generic technological innovation projects is beneficial to stimulate reinnovation behaviour. However, considering the information asymmetry, a collusion tendency exists between the compensated party and the evaluator during the process of compensation. To prompt the government to build collusion-proof mechanisms to reduce collusion loss, the evolutionary game method was used to build replicated dynamic equations and a Jacobian matrix of both sides based on the information topology between the conspirators and regulator. Through the evolutionary equilibrium analysis and numerical simulation, evolutionary stability strategies (ESS) under different topological relationship information (non-intersect, partial intersect, and inclusive type) were found. Results show that the collusion behaviour can be effectively restrained when the government is unaware of collusion information, the net defense income is positive, and the penalty threshold is the product of the net collusive income and the ratio of the collusive and regulatory information. With the increasing amount of collusive information available to the government, the conspirators tend to adhere to moral principles subject to strict regulation. In addition, the moderating effect of penalty factor is positively correlated with the private information possessed by both sides. The conclusion is beneficial to provide theoretical support for optimizing the governmentled compensation mechanism for failed generic technological innovation projects.

show abstract

“…The following concepts of robust to ( , )-equilibria and structurally stable at ( , ) were introduced by Miyazaki and Azuma [23]. Definition 7.…”

Section: Structural Stability and Robustness To ( )-Equilibriamentioning

confidence: 99%

“…Recently, Wang et al [22] improved the economic model proposed by Anderlini and Canning, and under the weaker assumptions, they also showed that the model is structurally stable if and only if it is robust to -equilibria in generalized convex spaces. Miyazaki and Azuma [23] generalize the definitions of structurally stable and robustness to -equilibria that are introduced in Anderlini and Canning [19] and C. Yu and J. Yu [20,21]. They also studied the essentiality of equilibria in a bounded rational environment.…”

Section: Introductionmentioning

confidence: 98%