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Some rectangular games with a two‐man team

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  • James R. Jackson

Abstract

Certain zero‐sum games are examined in which an individual player is opposed by a two‐man team. The members of the team have identical interests, but must act separately during play. Most of the paper is devoted to instances in which one teammate has an opportunity to communicate to the other about their mutual opponent's strategy; but he may only be able to transmit a limited amount of information and his choice of a “message” may affect the payoff. The team must thus make economically efficient use of a limited communication opportunity. The present paper treats a variety of models, all of which are formulated as rectangular (matrix) games. Related models, some of which cannot be so formulated either because of restrictions on the team's opportunities to use mixed strategies or because they are non‐zero‐sum games, will be treated in another paper.

Suggested Citation

  • James R. Jackson, 1967. "Some rectangular games with a two‐man team," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 14(1), pages 23-41.
    • Handle: RePEc:wly:navlog:v:14:y:1967:i:1:p:23-41
    DOI: 10.1002/nav.3800140104
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    Cited by:

    1. Wei, Gaoyuan, 1997. "Shapes and sizes of arbitrary random walks at O(1/d3) I. Most probable size ratio," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 237(3), pages 413-422.
    2. Bozeman, Dennis P. & Kacmar, K. Michele, 1997. "A Cybernetic Model of Impression Management Processes in Organizations," Organizational Behavior and Human Decision Processes, Elsevier, vol. 69(1), pages 9-30, January.

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