6 papers
Adaptive dynamics of eco-evolutionary repeated games: Effect of reward and punishment
Prosanta Mandal, Suman Chakraborty, Vaibhav Madhok +1
Long-term evolutionary processes can strongly influence common-pool resource conservation by generating new traits or behaviours that modify the feedback between population strateg…
Oscillatory evolutionarily stable state and limit cycle in replicator dynamics
Suman Chakraborty, Vikash Kumar Dubey, Vaibhav Madhok +1
The idea of evolutionarily stable state (ESS) of a population is a cornerstone of evolutionary game theory; moreover, it coincides with the game-theoretic concept of Nash equilibri…
Oscillatory equilibrium in asymmetric evolutionary games: Generalizing evolutionarily stable strategy
Vikash Kumar Dubey, Suman Chakraborty, Sagar Chakraborty
The concept of evolutionarily stability and its relation with the fixed points of the replicator equation are important aspects of evolutionary game dynamics. In the light of the f…
Evolutionarily stable strategy in asymmetric games: Dynamical and information-theoretical perspectives
Vikash Kumar Dubey, Suman Chakraborty, Arunava Patra +1
Evolutionarily stable strategy (ESS) is the defining concept of evolutionary game theory. It has a fairly unanimously accepted definition for the case of symmetric games which are…
Replicator-mutator dynamics of Rock-Paper-Scissors game: Learning through mistakes
Suman Chakraborty, Ishita Agarwal, Sagar Chakraborty
We generalize the Bush--Mosteller learning, the Roth--Erev learning, and the social learning to include mistakes such that the nonlinear replicator-mutator equation with either add…
Selection-recombination-mutation dynamics: Gradient, limit cycle, and closed invariant curve
Suman Chakraborty, Sagar Chakraborty
In this paper, the replicator dynamics of the two-locus two-allele system under weak mutation and weak selection is investigated in a generation-wise non-overlapping unstructured p…