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L. A. Khodarinova

Publications and source records attributed to L. A. Khodarinova.

5 recordsLinked to original sources
arXiv2004

Putting the prisoner's dilemma in context

The standard iterated prisoner's dilemma is an unrealistic model of social behaviour because it forces individuals to participate in the interaction. We analyse a model in which players have the option of ending their association. If the payoff for living alone is neither too high nor too low then the potential for cooperative behaviour is enhanced. For some parameter values it is also possible for a polymorphic population of defectors and conditional cooperators to be stable.

math.OC↗
arXiv2004

Quantum integrability of the deformed elliptic Calogero-Moser problem

The integrability of the deformed quantum elliptic Calogero-Moser problem introduced by Chalykh, Feigin and Veselov is proven. Explicit recursive formulae for the integrals are found. For integer values of the parameter this implies the algebraic integrability of the systems.

math-ph↗
arXiv2004

Controlling alliances through executing pressure

In this paper the standard prisoners' dilemma is embedded in environmental conditions in which the interaction takes place. This provides a theoretical background to the analysis of the empirical studies which indicate that including additional factors when considering an alliance is very important. We show that such an approach, though theoretically simple, provides a powerful tool for suggesting successful strategies for forming, maintaining and withstanding a rival attack on an alliance, projecting an alliance possible success and determining which measures must be taken to maintain an alliance in a changing environment. It also provides insight into the possibility of preventing alliances in rivals. The relative simplicity of this framework means that the approach can be easily applied when the real life decisions are taken.

math.OC↗