= Riccati moment-explosion horizon
{c}
{title2=$\tau_* = \sup\{\tau:R\text{ is finite on }[0,\tau]\}$}
The maximal time on which the coefficient solution of the exponential-quadratic transform stays finite. For $R'=2R^2-2R+1$, $R(0)=0$, the solution is $R=(1+\tan(\tau-\pi/4))/2$ and explodes at $3\pi/4$. Thus local solvability of the coefficient <ordinary differential equations> does not imply an unrestricted global moment formula. For payoff exponent $0\le\theta\le1$, the Riccati forcing is nonpositive and a negative equilibrium bounds the solution.
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