Games of no chance 5 / Urban Larsson, [editor].

Format:

Book

Conference/Event

Contributor:

Larsson, Urban, 1966-

Conference Name:

Combinational Game Theory Workshop (2011 : Banff International Research Station)

Series:

Mathematical Sciences Research Institute publications ; 70.

Mathematical Sciences Research Institute publications ; 70

Language:

English

Subjects (All):

Combinatorial group theory.

Games of chance (Mathematics).

Deterrence (Strategy).

Failure (Psychology).

Physical Description:

viii, 490 pages : illustrations ; 25 cm.

Other Title:

Games of no chance five

Place of Publication:

Cambridge, United Kingdom ; New York, NY : Cambridge University Press, 2019.

Summary:

"This book surveys the state-of-the-art in the theory of combinatorial games, that is games not involving chance or hidden information. Enthusiasts will find a wide variety of exciting topics, from a trailblazing presentation of scoring to solutions of three piece ending positions of bidding chess. Theories and techniques in many subfields are covered, such as universality, Wythoff Nim variations, misère play, partizan bidding (a.k.a. Richman games), loopy games, and the algebra of placement games. Also included are an updated list of unsolved problems, extremely efficient algorithms for taking and breaking games, a historical exposition of binary numbers and games by David Singmaster, chromatic Nim variations, renormalization for combinatorial games, and a survey of temperature theory by Elwyn Berlekamp, one of the founders of the field. The volume was initiated at the Combinatorial Game Theory Workshop, January 2011, held at the Banff International Research Station." -- Provided by publisher.

Contents:

‡a About this book / Urban Larsson

Temperatures of games and coupons / Elwyn Berlekamp

Wythoff visions / Eric Duchene, Aviezri Fraenkel, Vladimir Gurvich, Nhan Ho, Clark Kimberling, and Urban Larsson

Scoring games: The state of play / Urban Larsson, Richard Nowakowski and Carlos Pereira dos Santos

Restricted developments in partizan misère game theory / Rebecca Milley and Gabriel Renault

Unsolved problems in combinatorial games / Richard Nowakowski

Misère games and misère quotients / Aaron Siegel

An historical tour of binary and tours / David Singmaster

A note on polynomial profiles of placement games / J. I. Brown, D. Cox, A. Hoefel, Neil McKay, Rebecca Milley, Richard Nowakowski, and Angela A. Siegel

A SPACE-complete graph nim / Kyle Burke and Olivia George

A nontrivial surjective map onto the short Conway group / Alda Carvalho and Carlos Pereira dos Santos

Games and complexes I: Transformation via ideals / Sara Faridi, Svenja Huntemann and Richard Nowakowksi

Games and complexes II: Weight games and Kruskal-Katona type bounds / Sara Faridi, Svenja Huntemann and Richard Nowakowski

Chromatic nim finds a game for your solution / Mike Fisher and Urban Larsson

Take-away games on Beatty's theorem and the notion of k-invariance / Aviezri Fraenkel and Urban Larsson

Geometric analysis of a generalized Wythoff game / Eric Friedman, Scott M. Garrabrant, Ilona Phipps-Morgan, Adam S. Landsberg and Urban Larsson

Searching for periodicity in officers / J.P. Grossman

Good pass moves in no-draw HyperHex: Two proverbs / Ryan Hayward

Conjoined games: Go-Cut and Sno-Go / Melissa Huggan and Richard Nowakowski

Impartial games whose rulesets produce continued fractions / Urban Larsson and Mike Weimerskirch

Endgames in bidding chess / Urban Larsson and Johan Wastlund

Phutball draws / Sucharit Sarkar

Scoring play combinatorial games / Fraser Stewart

Generalized misère play / Mike Weimerskirch

Retrospective index.

Notes:

"This book was initiated at the Combinational Game Theory Workshop, January 2011, at the Banff International Research Station (BIRS)."--P. 1.

Includes bibliographical references and index.

ISBN:

9781108485807

1108485804

9781108713658

1108713653

OCLC:

1102686838

Publisher Number:

99988579003