Analysis of one-dimensional Yut-Nori game: winning strategy and avalanche-size distribution

TL;DR

This paper models a simplified one-dimensional version of Yut-Nori, analyzing winning strategies and avalanche-size distributions, revealing catching as more advantageous and that avalanche sizes follow an exponential distribution.

Contribution

It introduces a one-dimensional simulation of Yut-Nori to compare strategies and analyzes the avalanche-size distribution in the thermodynamic limit.

Findings

Catching strategy is more advantageous than piling.

Avalanche-size distribution follows an exponential form.

Simulation provides insights into strategic advantages in simplified Yut-Nori.

Abstract

In the Korean traditional board game Yut-Nori, teams compete by moving their pieces on the two-dimensional game board, and the team whose all pieces complete a round trip on the board wins. In every round, teams throw four wooden sticks of the shape of half-cut cylinder and the number of sticks that show belly sides, i.e., the flat sides, determines the number of steps the team's piece can advance on the board. It is possible to pile up one team's pieces if their sites are identical so that pieces as a group can move together afterwards (piling). If a piece of the opponent team is at the new site of one team's piece, the piece is caught and removed from the board, and the team is given one more chance to throw sticks and proceed (catching). For a simplicity, we simulate this game on one-dimensional board with the same number of sites as the original game, and show that catching is more advantageous strategy than piling to win. We also study the avalanche-size distribution in thermodynamic limit to find that it follows an exponential form.