Date of Publication

8-30-2022

Document Type

Bachelor's Thesis

Degree Name

Bachelor of Science in Mathematics with Specialization in Computer Applications

Subject Categories

Mathematics

College

College of Science

Department/Unit

Mathematics and Statistics Department

Thesis Advisor

Ederlina G. Nocon

Defense Panel Chair

Isagani B. Jos

Defense Panel Member

Noel T. Fortun

Abstract/Summary

Chess is a classic board game that most people know about. Much research regarding chess has already been done, including the optimal opening strategies a player can do, the million possible combinations of a single chess game, possible endgame situations, and many more. This study is an exposition of the paper on chess endgames written by Zvi Retchkiman Königsberg. In this paper, we analyze and discuss strategies for chess games formed only by pawns and built around a position called Zugzwang. In such a position, a player is forced to be in a situation where it would be more beneficial to skip a turn than make a move. To help the reader better understand the concepts tackled in the paper, basic concepts of combinatorial game theory are discussed with illustrations specifically constructed in chess game scenarios. It is the goal of this thesis to provide easy-to-read material that will be useful for those who would like to study combinatorial games as applied to the game of chess.

Abstract Format

html

Language

English

Format

Electronic

Physical Description

63 leaves

Keywords

Chess—End games; Game theory

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Embargo Period

8-29-2022

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