Construct · 1 fields · 1 citations

zugzwang: a standalone construct

One name. One construct. A landmark on the map.

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zugzwang1 CONSTRUCTZugzwang (CGT)BERLEKAMP ET AL. · THEORY

A single standalone construct; nearby constructs are located against it in the Collider. Tap a field for its definition, unit, and measures.

Combinatorial game theory

A game where the move is a liability, not an asset

In combinatorial game theory the same idea is made exact: some game positions have a value such that the player to move is at a disadvantage, so the right to move functions as a burden rather than an advantage. Berlekamp, Conway, and Guy's Winning ways for your mathematical plays develops the theory of game values in which such “must-move-and-lose” positions arise naturally and can be computed. It is the chess notion of zugzwang generalised to a whole class of games and given a formal, additive value.[1]

Unit
A game value in which the obligation to move is a disadvantage to the mover
Recovery means
Not applicable
Measured by
Determined by computing the game's value, where a mover's disadvantage emerges from the theory of game sums

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Nearby constructs

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References

  1. Berlekamp, E. R., Conway, J. H., & Guy, R. K. (2001). Winning ways for your mathematical plays (Vol. 1, 2nd ed.). A K Peters. ISBN 9781568811307

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