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math.CO2024
A counterexample to conjecture "Catch 22"
Bogdan Butyrin, Vladimir Gurvich, Anton Lutsenko +2
We construct a finite deterministic graphical (DG) game without Nash equilibria in pure stationary strategies. This game has 3 players and 5 outcomes: 2 terminal $a_1…
math.CO2024
Growing Trees and Amoebas' Replications
Vladimir Gurvich, Matjaž Krnc, Mikhail Vyalyi
An amoeba is a tree together with instructions how to iteratively grow trees by adding paths of a fixed length . This paper analyses such a growth process. An amoeba is morta…