Geodesic
Zero-sum game of resource allocation: attacker against defender
Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 5 (2013) no. 4, pp. 66-83

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The payoff of attacker is a probability of his strategy to overcome a defender's strategy. We derive the conditions of existence of pure and mixed solutions of the game. Method of feasible directions is considered for finding maximin and minimax strategies.
Keywords: zero-sum game, protection facility, resource allocation. 
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     author = {Vladimir V. Morozov and Kamil D. Shalbuzov},
     title = {Zero-sum game of resource allocation: attacker against defender},
     journal = {Matemati\v{c}eska\^a teori\^a igr i e\"e prilo\v{z}eni\^a},
     pages = {66--83},
     publisher = {mathdoc},
     volume = {5},
     number = {4},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MGTA_2013_5_4_a3/}
}
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Vladimir V. Morozov; Kamil D. Shalbuzov. Zero-sum game of resource allocation: attacker against defender. Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 5 (2013) no. 4, pp. 66-83. http://geodesic.mathdoc.fr/item/MGTA_2013_5_4_a3/