TL;DR
This paper explores variations of a zero-sum game where Alice tries to identify the larger number between two choices based on partial information, analyzing strategic guessing scenarios.
Contribution
It introduces new game variants and analyzes optimal strategies for Alice and Bob in the context of partial information and decision-making.
Findings
Optimal strategies for Alice and Bob are characterized.
The impact of information asymmetry on game outcomes is quantified.
New variants of the guessing game demonstrate different strategic behaviors.
Abstract
We discuss variations of the zero-sum game where Bob selects two distinct numbers, and Alice learns one of them to make a guess which of the numbers is the larger.
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