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Predictive reward signal of dopamine neurons
 Journal of Neurophysiology
, 1998
"... Schultz, Wolfram. Predictive reward signal of dopamine neurons. is called rewards, which elicit and reinforce approach behavJ. Neurophysiol. 80: 1–27, 1998. The effects of lesions, receptor ior. The functions of rewards were developed further during blocking, electrical selfstimulation, and drugs ..."
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Cited by 717 (12 self)
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Schultz, Wolfram. Predictive reward signal of dopamine neurons. is called rewards, which elicit and reinforce approach behavJ. Neurophysiol. 80: 1–27, 1998. The effects of lesions, receptor ior. The functions of rewards were developed further during blocking, electrical selfstimulation, and drugs of abuse suggest the evolution of higher mammals to support more sophistithat midbrain dopamine systems are involved in processing reward cated forms of individual and social behavior. Thus biologiinformation and learning approach behavior. Most dopamine neucal and cognitive needs define the nature of rewards, and rons show phasic activations after primary liquid and food rewards and conditioned, rewardpredicting visual and auditory stimuli. the availability of rewards determines some of the basic They show biphasic, activationdepression responses after stimuli parameters of the subject’s life conditions. that resemble rewardpredicting stimuli or are novel or particularly Rewards come in various physical forms, are highly variable salient. However, only few phasic activations follow aversive stimin time and depend on the particular environment of the subject. uli. Thus dopamine neurons label environmental stimuli with appe Despite their importance, rewards do not influence the brain titive value, predict and detect rewards and signal alerting and motivating events. By failing to discriminate between different
SOLVING TRIANGULAR PEG SOLITAIRE
, 2007
"... We consider the oneperson game of peg solitaire on a triangular board of arbitrary size. The basic game begins from a full board with one peg missing and finishes with one peg at a specified board location. We develop necessary and sufficient conditions for this game to be solvable. For all solvabl ..."
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Cited by 1 (1 self)
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We consider the oneperson game of peg solitaire on a triangular board of arbitrary size. The basic game begins from a full board with one peg missing and finishes with one peg at a specified board location. We develop necessary and sufficient conditions for this game to be solvable. For all
Modelling and Solving English Peg Solitaire
, 2003
"... Peg Solitaire is a well known puzzle, which can prove difficult despite its simple rules. Pegs are arranged on a board such that at least one ‘hole’ remains. By making draughts/checkerslike moves, pegs are gradually removed until no further moves are possible or some goal configuration is achieved. ..."
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Cited by 20 (9 self)
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Peg Solitaire is a well known puzzle, which can prove difficult despite its simple rules. Pegs are arranged on a board such that at least one ‘hole’ remains. By making draughts/checkerslike moves, pegs are gradually removed until no further moves are possible or some goal configuration is achieved
OneDimensional Peg Solitaire
, 2000
"... Abstract. We solve the problem of onedimensional peg solitaire. In particular, we show that the set of configurations that can be reduced to a single peg forms a regular language, and that a lineartime algorithm exists for playing the game. 1 ..."
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Abstract. We solve the problem of onedimensional peg solitaire. In particular, we show that the set of configurations that can be reduced to a single peg forms a regular language, and that a lineartime algorithm exists for playing the game. 1
Triangular Peg Solitaire Unlimited
 The Games and Puzzles Journal
"... Triangular peg solitaire is a wellknown oneperson game or puzzle. When one peg captures many pegs consecutively, this is called a sweep. We investigate whether the game can end in a dramatic fashion, with one peg sweeping all remaining pegs off the board. For triangular boards of side 6 and 8 (wit ..."
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Cited by 3 (3 self)
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Triangular peg solitaire is a wellknown oneperson game or puzzle. When one peg captures many pegs consecutively, this is called a sweep. We investigate whether the game can end in a dramatic fashion, with one peg sweeping all remaining pegs off the board. For triangular boards of side 6 and 8
Diagonal peg solitaire
 Integers
, 2007
"... We study the classical game of peg solitaire when diagonal jumps are allowed. We prove that on many boards, one can begin from a full board with one peg missing, and finish with one peg anywhere on the board. We then consider the problem of finding solutions that minimize the number of moves (where ..."
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Cited by 1 (1 self)
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We study the classical game of peg solitaire when diagonal jumps are allowed. We prove that on many boards, one can begin from a full board with one peg missing, and finish with one peg anywhere on the board. We then consider the problem of finding solutions that minimize the number of moves (where
OneDimensional Peg Solitaire, and Duotaire
, 2002
"... We solve the problem of onedimensional Peg Solitaire. In particular, we show that the set of configurations that can be reduced to a single peg forms a regular language, and that a lineartime algorithm exists for reducing any configuration to the minimum number of pegs. We then look ..."
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Cited by 7 (0 self)
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We solve the problem of onedimensional Peg Solitaire. In particular, we show that the set of configurations that can be reduced to a single peg forms a regular language, and that a lineartime algorithm exists for reducing any configuration to the minimum number of pegs. We then look
Depthfirst search solves Peg Solitaire
, 1998
"... We invite the reader to test his skillness in previewing the behaviour of a simple, depthfirst search algorithm that solves (or tries to solve) the Pegsolitaire game; the test is based on a few questions about the search tree involving aspects such as the number of nodes explored by the algorithm, ..."
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Cited by 2 (0 self)
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We invite the reader to test his skillness in previewing the behaviour of a simple, depthfirst search algorithm that solves (or tries to solve) the Pegsolitaire game; the test is based on a few questions about the search tree involving aspects such as the number of nodes explored by the algorithm
Notes on solving and playing peg solitaire on a computer
, 2009
"... We consider the oneperson game of peg solitaire played on a computer. Two popular board shapes are the 33hole crossshaped board, and the 15hole triangular board—we use them as examples throughout. The basic game begins from a full board with one peg missing and finishes at a board position with ..."
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We consider the oneperson game of peg solitaire played on a computer. Two popular board shapes are the 33hole crossshaped board, and the 15hole triangular board—we use them as examples throughout. The basic game begins from a full board with one peg missing and finishes at a board position
A Fresh Look at Peg Solitaire
 MATHEMATICS MAGAZINE
, 2007
"... Peg solitaire is a oneperson game that is over 300 years old; most people are familiar ..."
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Cited by 4 (4 self)
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Peg solitaire is a oneperson game that is over 300 years old; most people are familiar
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