Symbol ẋ_i
ẋ_i has a dot, marking the rate of change of the underlying indexed quantity with respect to the article’s time variable.
Read this term in its guide →Published equation contexts
Why this formula appears here
Run the continuous replicator equation on the resulting eight-strategy zero-sum game: = - , where = \, U(i,j) is species i ’s expected payoff against the current population mix and = is the population’s average payoff. Starting from a uniform mix across all eight and integrating to convergence, the system does not settle into anything resembling the real ladder’s spread. It collapses toward a near-monopoly: Great Tusk at 87.71% of the stationary mix, Dragonite at 6.50%, Kingambit at 5.76%, and the other five species asymptoting toward zero, Gholdengo included, despite Gholdengo sitting in second place on the…
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Symbol x_i
is one of the signed contributions combined to compute the quantity on the left.
Read this term in its guide →Symbol x
x is part of the quantity the equation computes from the expression on the right.
Read this term in its guide →Symbol phi
phi is one of the signed contributions combined to compute the quantity on the left.
Read this term in its guide →How to interpret it
Read it with the definitions, units, and assumptions supplied by the article.
Published contexts (1)
A symbol can carry a different meaning in another article. Each occurrence keeps its own guide and term definitions.
Equation 14 · Pokémon Formal Machinery
The Type Chart Is a Payoff Matrix, and the Metagame Only Half-Solves It
This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.
Run the continuous replicator equation on the resulting eight-strategy zero-sum game: = - , where = \, U(i,j) is species i ’s expected payoff against the current population mix and = is the population’s average payoff. Starting from a uniform mix across all eight and integrating to convergence, the system does not settle into anything resembling the real ladder’s spread. It collapses toward a near-monopoly: Great Tusk at 87.71% of the stationary mix, Dragonite at 6.50%, Kingambit at 5.76%, and the other five species asymptoting toward zero, Gholdengo included, despite Gholdengo sitting in second place on the…