We consider the stochastic generalized Nash equilibrium problem (SGNEP) with expected-value cost functions. Inspired by Yi and Pavel (Automatica, 2019), we propose a distributed GNE seeking algorithm based on the preconditioned forwardbackward operator splitting for SGNEP, where, at each iteration, the expected value of the pseudo-gradient is approximated via a number of random samples. Our main contribution is to show almost sure convergence of the proposed algorithm if the pseudogradient mapping is restricted (monotone and) cocoercive.
Abstract. We study the symbolic powers of the Stanley-Reisner ideal IB n of a bipyramid Bn over a n−gon Qn. Using a combinatorial approach, based on analysis of subtrees in Qn we compute the Waldschmidt constant of IB n .
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