11 problems

In the coevolutionary game, let each player's action-opinion strategy be $z_i=(x_i,y_i)\in\\{0,1\\}\times[0,1]$, and let the discriminant determining the best-response action be ……

Consider an ecological game in which species or groups interact through dominance relations. An ecosystem is asymmetric yet stable when its dominance structure is imbalanced but it…

An $RPS$ game is a game in which objects interact through a cyclic relation of one object beating another. A game is playable when each object sees play, meaning that it is used wi…

Let $[?]$ be the payoff parameters in the multitype contact process with density-dependent birth rates, where $a_{11}$ and $a_{12}$ describe effects involving strategy 1 and…

Wakeley's polynomial stationary-distribution property. There exist constants $r_k$, for $k=1,\ldots,N$, such that

Consider the structured coordination game with neutral options and its stochastic dynamics, while excluding conclusions that rely on payoff or risk dominance. Asymptotic-persistenc…

Delayed-loss conjecture. For the parameter values considered, the canard-like behaviour in which orbits remain near the unstable branch after the loss of stability always occurs, a…

Interesting-dynamics conjecture. Interesting dynamics may be found in the white region at the top of the stability diagram.

Non-regular graph extension conjecture. The approximate replicator equation for the density processes applies to many non-regular graphs, provided that the constant graph degree…

Strategy-1 winning conjecture. Strategy 1 wins: the connected component starting from an interval of strategy-2 players should be swallowed by the two nearby strategy-1 intervals.

Consider the one-dimensional nearest-neighbor evolutionary game with two strategies and payoff matrix $(a_{ij})$. Call a strategy less altruistic when its payoff parameters make it…