Stochastic Modeling and Applied Research of Technology

Vol. 2 (2020), Research Article
Vol. 2 (2020)

Quorum Analysis for the Pirate Game Problem

Research Article
Ilya Chernov
Institute of Applied Mathematical Research, Karelian Research Centre of the RAS, Petrozavodsk, Russia
https://orcid.org/0000-0001-7479-9079
Evgeny Ivashko
Institute of Applied Mathematical Research, Karelian Research Centre of the RAS, Petrozavodsk, Russia
Petrozavodsk State University, Petrozavodsk, Russia
https://orcid.org/0000-0001-9194-3976
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Keywords

Pirate Game
Puzzle for Pirates
Quorum Analysis
Non-Cooperative Game Theory

How to Cite

Chernov, I., & Ivashko, E. (2020). Quorum Analysis for the Pirate Game Problem. Stochastic Modeling and Applied Research of Technology, 2, 24-37.
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Abstract

The “Pirate game” is a popular mathematical puzzle, the problem aimed at demonstration of backward induction. It is also a shining example of non-cooperative behaviour of rational agents in mathematical game theory. A linearly ordered crew votes for the captain’s sharing offer. The captain needs the approval by a given fraction of the crew called quorum at the minimal cost. In this paper, we present the comprehensive quorum analysis on strategies and payoffs for the “Pirate game” problem, for any crew size and any quorum.

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