As large language models (LLMs) advance across diverse tasks, the need for comprehensive evaluation beyond single metrics becomes increasingly important.To fully assess LLM intelligence, it is crucial to examine their interactive dynamics and strategic behaviors.We present LLMsPark, a game theory–based evaluation platform that measures LLMs’ decision-making strategies and social behaviors in classic game-theoretic settings, providing a multi-agent environment to explore strategic depth.Our system cross-evaluates 15 leading LLMs (both commercial and open-source) using leaderboard rankings and scoring mechanisms. Higher scores reflect stronger reasoning and strategic capabilities, revealing distinct behavioral patterns and performance differences across models.This work introduces a novel perspective for evaluating LLMs’ strategic intelligence, enriching existing benchmarks and broadening their assessment in interactive, game-theoretic scenarios.The benchmark and rankings are publicly available at https://llmsparks.github.io/.

Variational autoencoder (VAE) is a widely used generative model that gains great popularity for its capability in density estimation and representation learning. However, when employing a strong autoregressive generation network, VAE tends to converge to a degenerate local optimum known as posterior collapse. In this paper, we propose a model named Scale-VAE to solve this problem. Scale-VAE does not force the KL term to be larger than a positive constant, but aims to make the latent variables easier to be exploited by the generation network. Specifically, each dimension of the mean for the approximate posterior distribution is multiplied by a factor to keep that dimension discriminative across data instances. The same factors are used for all data instances so as not to change the relative relationship between the posterior distributions. Latent variables from the scaled-up posteriors are fed into the generation network, but the original posteriors are still used to calculate the KL term. In this way, Scale-VAE can solve the posterior collapse problem with a training cost similar to or even lower than the basic VAE. Experimental results show that Scale-VAE outperforms state-of-the-art models in density estimation, representation learning, and consistency of the latent space, and is competitive with other models in generation.