Difference between revisions of "Blotto games"
From Encyclopedia of Mathematics
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A class of two-person zero-sum games (cf. [[Two-person zero-sum game|Two-person zero-sum game]]) in normal form in which the pure strategies (cf. [[Strategy (in game theory)|Strategy (in game theory)]]) of the players are distributions of limited resources (indivisible or divisible) over several objects, and the gain, or payoff, is equal to the sum of the gains on the individual objects. So named after the fictional colonel Blotto who was supposed to have participated in one of the first games of this type. | A class of two-person zero-sum games (cf. [[Two-person zero-sum game|Two-person zero-sum game]]) in normal form in which the pure strategies (cf. [[Strategy (in game theory)|Strategy (in game theory)]]) of the players are distributions of limited resources (indivisible or divisible) over several objects, and the gain, or payoff, is equal to the sum of the gains on the individual objects. So named after the fictional colonel Blotto who was supposed to have participated in one of the first games of this type. | ||
====References==== | ====References==== | ||
<table><TR><TD valign="top">[1]</TD> <TD valign="top"> S. Karlin, "Mathematical methods and theory in games, programming and economics" , Addison-Wesley (1959)</TD></TR></table> | <table><TR><TD valign="top">[1]</TD> <TD valign="top"> S. Karlin, "Mathematical methods and theory in games, programming and economics" , Addison-Wesley (1959)</TD></TR></table> | ||
Latest revision as of 15:00, 1 May 2014
A class of two-person zero-sum games (cf. Two-person zero-sum game) in normal form in which the pure strategies (cf. Strategy (in game theory)) of the players are distributions of limited resources (indivisible or divisible) over several objects, and the gain, or payoff, is equal to the sum of the gains on the individual objects. So named after the fictional colonel Blotto who was supposed to have participated in one of the first games of this type.
References
| [1] | S. Karlin, "Mathematical methods and theory in games, programming and economics" , Addison-Wesley (1959) |
How to Cite This Entry:
Blotto games. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Blotto_games&oldid=13092
Blotto games. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Blotto_games&oldid=13092
This article was adapted from an original article by I.N. Vrublevskaya (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article