Hypergame Theory for DTGT Agents

Russell R. Vane

In this work, hypergame theory has been extended to record decision theoretic and game theoretic information in a single table, called the hypergame normal form. A twoplayer, zero-sum, single-stage hypergame has been provided in this paper to describe a decision-making situation. Hypergame expected utility is introduced as an embellished concept of expected utility that provides an estimate of the benefits and risks of this approach. Hypergame expected utility provides a preference criterion for selecting options or plans. This article does not address repeated play and learning, but does provide a new interpretation of the game theoretic concept of the Nash Equilibrium Mixed Strategy, which is often attributed to repeated play situations.

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