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A zero-sum game of resource allocation: Attacker against defender

  • Mathematical Game Theory and Applications
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Abstract

The paper studies a zero-sum game of resource allocation. Each player can use several types of facilities limited by its budget. The attacker’s payoff is the probability of its strategy to overcome a defender’s strategy. The authors derive the existence conditions of pure and mixed strategy solutions in the game. The method of feasible directions is considered for finding maximin and minimax strategies.

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Correspondence to V. V. Morozov.

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Original Russian Text © V.V. Morozov, K.D. Shalbuzov, 2013, published in Matematicheskaya Teoriya Igr i Ee Prilozheniya, 2013, No. 4, pp. 66–83.

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Morozov, V.V., Shalbuzov, K.D. A zero-sum game of resource allocation: Attacker against defender. Autom Remote Control 76, 2045–2055 (2015). https://doi.org/10.1134/S0005117915110132

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  • DOI: https://doi.org/10.1134/S0005117915110132

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