The Expected Time to End the Tug-of-War in a Wedge
Dante DeBlassie, Robert G. Smits
TL;DR
This paper investigates the expected duration until a tug-of-war game concludes within a wedge-shaped domain, using advanced PDE techniques involving the p-Laplacian to determine conditions for finite expected times.
Contribution
It introduces a novel PDE approach to analyze the expected stopping time of tug-of-war games in wedge geometries, extending previous work to nonhomogeneous cases.
Findings
Established conditions for finite expected game duration in wedges.
Applied nonhomogeneous PDE solutions to stochastic game analysis.
Provided mathematical framework for future research in game theory and PDEs.
Abstract
Using a solution of a nonhomogeneous partial differential equation involving the p- Laplacian, we study the finiteness of the expected time to end the tug-of-war in a wedge.
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Taxonomy
TopicsNumerical methods for differential equations · Opinion Dynamics and Social Influence · Experimental and Theoretical Physics Studies