An Upper Bound on the Complexity of Tablut

01/28/2021
by   Andrea Galassi, et al.
0

Tablut is a complete-knowledge, deterministic, and asymmetric board game, which has not been solved nor properly studied yet. In this work, its rules and characteristics are presented, then a study on its complexity is reported. An upper bound to its complexity is found eventually by dividing the state-space of the game into subspaces according to specific conditions. This upper bound is comparable to the one found for Draughts, therefore, it would seem that the open challenge of solving this game requires a considerable computational effort.

READ FULL TEXT
research
06/09/2021

An Upper Bound on the State-Space Complexity of Brandubh

Before chess came to Northern Europe there was Tafl, a family of asymmet...
research
06/22/2015

An O(n^0.4732) upper bound on the complexity of the GKS communication game

We give an 5· n^_305 upper bund on the complexity of the communication g...
research
07/24/2019

An FPT algorithm for orthogonal buttons and scissors

We study the puzzle game Buttons and Scissors in which the goal is to re...
research
02/23/2022

On the complexity of Chow and Hurwitz forms

We consider the bit complexity of computing Chow forms and their general...
research
02/20/2023

Achieving Hierarchy-Free Approximation for Bilevel Programs With Equilibrium Constraints

In this paper, we develop an approximation scheme for solving bilevel pr...
research
01/12/2020

An improvement of the upper bound for GKS communication game

The GKS game was formulated by Justin Gilmer, Michal Koucky, and Michael...
research
01/07/2022

Most Clicks Problem in Lights Out

Consider a game played on a simple graph G = (V, E) where each vertex co...

Please sign up or login with your details

Forgot password? Click here to reset