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We demonstrate that any physical object, as long as its volume is conservedwhen coupled with suitable operations, provides a sophisticated decision-makingcapability. We consider the problem of finding, as accurately and quickly aspossible, the most profitable option from a set of options that givesstochastic rewards. These decisions are made as dictated by a physical object,which is moved in a manner similar to the fluctuations of a rigid body in atug-of-war game. Our analytical calculations validate statistical reasons whyour method exhibits higher efficiency than conventional algorithms.

Efficient Decision-Making by Volume-Conserving Physical Object