Unlike perfect-information games, imperfect-information games cannot be decomposed into subgames that are solved independently. Thus more computationally intensive equilibrium-finding techniques are used, and abstraction— in which a smaller version of the game is generated and solved—is essential. Endgame solving is the process of computing a (presumably) better strategy for just an endgame tha...

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We propose a simple modification to the rule governing how the dice game Left Center Right ends. The new rule extends the game in a natural way, and leads to some intriguing mathematical questions.

Background Rats emit 50-kHz ultrasonic vocalizations (USVs) to communicate positive emotional states, and these USVs are increasingly being investigated in preclinical studies on reward and motivation. Although it is the activation of dopamine receptors that initiates the emission of 50-kHz USVs, non-dopaminergic mechanisms may modulate calling in the 50 kHz frequency band. To further elucidate...

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