For a go position and a color, a chain (also called solid block) is a maximal con- 5. nected set of stones of that color. Answer these questions for this position, from Figure 3.1 in Mathematical Go: Chilling Gets the Last Point by Berlekamp and Wolfe. (i) Give the number of black chains, white chains, black stones, white stones, black territory, white territory and the current score (e.g. Black by x or White by y or tied). (ii) Assume White now makes a non-pass move, and then both players pass. What is a best move for White? Explain briefly. (iii) From the position, assume White makes some number of non-pass moves and that Black e f ghi passes after each and then White passes. What is the best score that White can achieve? Explain briefly.

For a go position and a color, a chain (also called solid block) is a maximal con- 5. nected set of stones of that color. Answer these questions for this position, from Figure 3.1 in Mathematical Go: Chilling Gets the Last Point by Berlekamp and Wolfe. (i) Give the number of black chains, white chains, black stones, white stones, black territory, white territory and the current score (e.g. Black by x or White by y or tied). (ii) Assume White now makes a non-pass move, and then both players pass. What is a best move for White? Explain briefly. (iii) From the position, assume White makes some number of non-pass moves and that Black e f ghi passes after each and then White passes. What is the best score that White can achieve? Explain briefly.

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter14: Game Theory

Section14.3: Linear Programming And Zero-sum Games

Problem 9P

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