Abstract
Transactions in blockchain networks can be transmitted through channels. Existing methods for channel transaction transmission depend on transaction routing information. If a node randomly chooses a channel to transmit a transaction, the transmission may be aborted due to insufficient funds (also called balance) or low transmission rate. To increase transmission success rate and reduce transmission delay across all transactions, this work proposes a transaction transmission model for blockchain channels based on non-cooperative game theory. The model considers the channel balance, states, and nodes' channel preferences. Steady-state transmission rates of selected channels are analyzed. The ideal solution for the model is found.