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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…