Journal of Optimization Theory and Applications

, Volume 58, Issue 3, pp 443–471 | Cite as

Games of timing related to distribution of resources

  • T. Radzik
Contributed Papers

Abstract

The paper considers a class of zero-sum, two-person games which are related to distribution of resources. Each of the players is in possession of an amount of resource, to be distributed by him in the time interval [0, 1] according to an arbitrary measure. The payoff function is defined in such a manner that the games are a generalization of the so-called silent, nondiscrete duels. It is proven that these games have a value, and the optimal strategies for the players are found. The results of the paper bring to light new, essential elements, common to almost all games of timing on [0, 1].

Key Words

Games of timing duels distribution of resources 

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Copyright information

© Plenum Publishing Corporation 1988

Authors and Affiliations

  • T. Radzik
    • 1
  1. 1.Institute of MathematicsTechnical UniversityWroclawPoland

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