Constrained games, intervening duality and experimenter-experiment interactions

Article Abstract:

An intervening duality approach can be utilized to model explicitly fair die casting situations. It was shown that intervening duality approach can offer straightforward motivations for hypothesis formulated by Tversky and Kahneman and others, which claim that subjects' favorable and unfavorable perceptions of probabilities related to relatively packed outcomes will be weakly superadditive and weakly subadditive, respectively. The usefulness of generalized strategic equivalence in introducing and analyzing tracer games was established.

Research and Development in the Physical, Engineering, and Life Sciences, Mathematics, Game theory, Mathematical optimization, Optimization theory

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Intervening duality and bargaining with a farmer-landowner example

Article Abstract:

Research was conducted to examine the magnitudes of contingent rentals and payoffs within an intervening duality framework for a game between land users and profit oriented landowners. The study is an extension of a previous research to demonstrate that the model could be applied to more general kinds of opportunities. Results demonstrate that intervening duality offers an effective way of modelling processes that yields mutually advantageous exchanges.

Models, Landlord and tenant, Landlord-tenant relations, Negotiation, Negotiations

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Purposive contradiction, intervening duality and the nature of probability

Article Abstract:

A constrained game theoretic formulation of the matching pennies game is discussed to introduce the concept of intervening duality into linear programming models of two-person constant-sum games. Specifically, it is shown that the idea of intervening duality permits the formal characterization of coin tossing games in which two individuals both perceive a coin as fair but also 'biased toward themselves.'

Linear programming, Probabilities, Probability theory, Decision theory, Games of chance (Mathematics)

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