Game-When there is no real advantage of making the
first or second move.
Game-A game that involves a combination of moves
and results to win.(see Conditions of Combinatorial
Game Theory-a branch of math that deals with situations
where people choose to do different actions or moves to maximize
their chance of return or their chance of winning.
all possible scenarios in any game.
Grundy's Game-a combinatorial zero-sum game with
one pile or more of anything where the only rule is you have to split
in 2 smaller unequal sizes of piles and the last person to move wins.
Hot Game-When there is a distinct advantage of making
the first move.
in decision making, a theory for minimizing the maximum possible loss.
Strategy-Method in decision making,
a theory to maximize the minimum possible gain.
Dilema-a type of zero-sum game where two
people try to get out of jail by cooperating with each other or
each other. If both players betray each other then they both get
an amount of time in jail which would be more than if both players
If one player betrays and one player stays silent then the
player who betrays goes free the other gets jailtime. What
makes it hard is the players do not know what each other is going
game of nim played with 2 piles of beans where you can take as
much beans as you want from one pile or an equal number from both
Sum Game-When a player benefits it's at a players
expense. Sum of loss + gain = 0.
of Combinatorial Games
- Clearly defined rules that specify what moves players can make
- Players alternate turns
www.austincc.edu/econ/ from this site we got the economics picture
usinfo.state.gov/.../itdhr/1004/ijde/issues.htm from this site we got the political science picture
www.dcs.qmul.ac.uk/cs4fn/fundamentals/ from this site we got the computer science picture
http://en.wikipedia.org/wiki/Game_theory We got information from this site on how game theory is used in every day life which included political science, computer science, bussiness, and economics.
http://www.archimedes-lab.org/atelier.html?http://www.archimedes-lab.org/game_nim/nim.html From this site we got information on the history of the Nim game.