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20162026
most citedStatistics of the number of equilibria in random social dilemma evolutionary games with mutation

13 citations · 14 across the 19 of their papers we have counts for

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math.DS2025

Replicator-mutator dynamics for public goods games with institutional incentives

Nataliya A. Balabanova, Manh Hong Duong, The Anh Han

Understanding the emergence and stability of cooperation in public goods games is important due to its applications in fields such as biology, economics, and social science. Howeve…

math.DS2024

Adaptive dynamics for individual payoff game-theoretic models of vaccination

Nataliya A. Balabanova, Manh Hong Duong

Vaccination is widely recognised as one of the most effective forms of public health interventions. Individuals decisions regarding vaccination creates a complex social dilemma bet…

math.DS2024

Adaptive dynamics of direct reciprocity with N rounds of memory

Nataliya A. Balabanova, Manh Hong Duong, Christian Hilbe

The theory of direct reciprocity explores how individuals cooperate when they interact repeatedly. In repeated interactions, individuals can condition their behaviour on what happe…

math.DS2024

Evolutionary mechanisms that promote cooperation may not promote social welfare

The Anh Han, Manh Hong Duong, Matjaz Perc

Understanding the emergence of prosocial behaviours among self-interested individuals is an important problem in many scientific disciplines. Various mechanisms have been proposed…

math.DS2019

On equilibrium properties of the replicator-mutator equation in deterministic and random games

Manh Hong Duong, The Anh Han

In this paper, we study the number of equilibria of the replicator-mutator dynamics for both deterministic and random multi-player two-strategy evolutionary games. For deterministi…