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AAAI
2010
13 years 10 months ago
Private and Third-Party Randomization in Risk-Sensitive Equilibrium Concepts
We consider risk-sensitive generalizations of Nash and correlated equilibria in noncooperative games. We prove that, except for a class of degenerate games, unless a two-player ga...
Mickey Brautbar, Michael Kearns, Umar Syed
CORR
2006
Springer
111views Education» more  CORR 2006»
13 years 9 months ago
The minimum size required of a solitaire army
The solitaire army is a one-person peg jumping game where a player attempts to advance an "army" of pegs as far as possible into empty territory. The game was introduced...
George I. Bell, Daniel S. Hirschberg, Pablo Guerre...
MST
2006
88views more  MST 2006»
13 years 9 months ago
Morpion Solitaire
We study a popular pencil-and-paper game called morpion solitaire. We present upper and lower bounds for the maximum score attainable for many versions of the game. We also show t...
Erik D. Demaine, Martin L. Demaine, Arthur Langerm...
CORR
2007
Springer
141views Education» more  CORR 2007»
13 years 9 months ago
Acyclicity of Preferences, Nash Equilibria, and Subgame Perfect Equilibria: a Formal and Constructive Equivalence
Abstract. Sequential game and Nash equilibrium are basic key concepts in game theory. In 1953, Kuhn showed that every sequential game has a Nash equilibrium. The two main steps of ...
Stéphane Le Roux
ACMACE
2005
ACM
14 years 2 months ago
SymBall: camera driven table tennis for mobile phones
We present a table tennis game concept, implemented for Symbian OS/Series 60 mobile phones, using the phone's integrated camera as the main game controller. The game demonstr...
Mika Hakkarainen, Charles Woodward