Solution to Games

by Chris Luhrs and Anna Gladstone

The first three 3x3 matrices are bimatrix games. Find the Nash equilibria for each game (the upper left entry clues this as Russell Crowe played John Nash in A Beautiful Mind), and take the corresponding letters from the fourth matrix. Reading down these letters spells SECURE.

(Russell Crowe's Bacon number 2,

The scrabble value of EQUILIBRIUM 24)

(Forbidden other words per word in Taboo 5,

7's in a Mu deck 10)

(Pieces on a side in Lord of the Rings: The Confrontation 9,

Supply Centers in Diplomacy 34)

(Total cards changing hands during taxation in The Great Dalmuti (not counting merchants) 6,

Level when characters choose their paragon path in Dungeons and Dragons 4e 11)

(Maximum phases in a turn of Race for the Galaxy, 5

Types of basic energy in the Pokemon TCG 8)

(Winning combinations of 3 in Tic-Tac-Toe 8, Questions on a Trivial Pursuit Card 6)

(Splittable card in Sorry! 7,

Value of shooting the moon in Hearts (for everyone else) 26)

(Properties in the red color group of Solar Quest 3,

Hits needed to win Battleship 17)

(Max players in Axis and Allies 5,

Classes in Team Fortress 2 9)

( Probability of having exactly 3 coins in your initial hand in Dominion 5/12,

Other side of 2 in Fearsome Floors 5)

(Probability of winning a street bet in American Roulette 3/38,

Value of being hunted by a more powerful NPC who appears frequently and wants to mildly punish PC in HERO 5e 20)

(Probability of being dealt a 0 after two cards in Punto Banco (1 deck) 95/663,

Combined magic, healing, trap prevention, and health for the year 1 paladin in Dungeon Lords. 11)

(Probability of having 13+ high card points in bridge 0.2679,

Hands played in game of Barbu 28)

(Probability of rolling an easy 6 in Craps 1/9,

Blocks in a Jenga set 54)

(Probability that three random cards form a set in Set 1/79,

Base rent on Park Place 35)

(Probability of being dealt a pair in Texas Hold'em 1/17,

Points associated with the Dragon in Tichu 25)

(Probability of getting a natural blackjack in an initial 52-card deck 32/663,

Maximum losing score, when double-skunked in Cribbage 60)

(Probability of hitting a trifecta among 8 indistinguishable horses 1/336,

Cloister tiles in Carcassonne (without the river) 6)

( Alchemist ratmen in Small World 12,

Asian territories in Risk 12)

( Winning combinations of 4 in Connect 4 69,

First-round value of paintings by the top artist in Modern Art 30,000)

(Legal opening moves in Chess 20,

Possible codes in Mastermind 1296)

(Pieces in Bughouse on both sides 64,

Possible outcomes in Clue 324)

(Maximum points a side can advance on a single roll of Backgammon 24,

Crop spaces on a Puerto Rico board 12)

(Spaces in Candyland 134,

Locations on a Go board 361)

(Cards in Canasta 108,

Traditional value of two Queens of Spades and two Jacks of Diamonds in Pinochle 300)

(Possible board positions after 2 moves of Othello 12,

Tiles in Rummikub 106)

(Number of pieces in a full game of Trouble 16,

The value of Blind nil in Spades 200

Neighbor of A, G, and S in Scattergories (T)

Blue in Magic (U)

Piece that successfully attacks the marshal in Stratego (S)

Multiplicative identity in twenty-four (A)

Viper of Street Fighter (C)

Penalty for third failure in HORSE (R)

Build a pylon in starcraft 2 (E)

Strafe right in Counter-strike (D)

Disc-mate of 12 in Settlers of Catan (H)