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math.PR2024
Percolation games on rooted, edge-weighted random trees
Sayar Karmakar, Moumanti Podder, Souvik Roy +1
Consider a rooted Galton-Watson tree , to each of whose edges we assign, independently, a weight that equals with probability , with probability and …
math.PR2023
The spread of an epidemic: a game-theoretic approach
Sayar Karmakar, Moumanti Podder, Souvik Roy +1
We introduce and study a model stemming from game theory for the spread of an epidemic throughout a given population. Each agent is allowed to choose an action whose value dictates…
math.PR2023
Phase transition in percolation games on rooted Galton-Watson trees
Sayar Karmakar, Moumanti Podder, Souvik Roy +1
We study the bond percolation game and the site percolation game on the rooted Galton-Watson tree with offspring distribution . We obtain the probabilities of win, loss an…