According to ChainCatcher news and Blockworks report, Anza proposed two measures to implement penalty mechanisms (slashing) in the network, primarily targeting the so-called 'duplicate blocks' to punish validators, which refers to the situation where the same block is created twice. Anza has not yet decided on the specific economic details of the penalty mechanism, but the authors of SIMD suggested destroying (or functionally abolishing) the penalized staked tokens.
Ashwin Sekar from Anza also proposed a parabolic penalty curve: if 5% of the validator's staked tokens violate the rules, 1% of their staked tokens will be destroyed; if 33% of the staked tokens violate the rules, all staked tokens will be penalized. Sekar explained in a validator discussion that Ethereum's penalty curve is linear. Sekar also stated that this penalty proposal is still in its early stages and such updates will not be released until at least the end of summer 2025.