Σχέση ιατρού και ασθενή : η προσέγγιση της μέσω ενός μαθηματικού μοντέλου θεωρίας παιγνίων
Doctor and patient relationship : an approach through a game-theoretic mathematical model

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Keywords
Θεωρία παιγνίων ; Ιατρική ; Ασθενής ; ΙατρόςAbstract
The present work uses a game-theoretic model to study the doctor-patient relationship. By focusing on the dynamics of interactions, game theory enables the analysis of strategic decisions made by physicians and patients in various medical situations. The study uses mathematical models to analyze situations such as patient compliance with treatment instructions and decision-making about the provision of medication.
Nash equilibrium and evolutionarily stable strategies (ESS) are central to the mathematical approach of the study. Using the prisoner's dilemma, scenarios are analyzed where the physician and patient must choose between cooperation (such as adherence to treatment) or conflict (such as non-adherence). Through game-theoretic analysis, the model shows that cooperation leads to optimal patient health outcomes, while mutual lack of trust leads to the worsening of the situation.
At the same time, the centipede model offers a dynamic analysis of sequential interactions, where mutual cooperation is gradually improved, increasing the long-term health benefits of the patient. The study also examines the mathematical applications of game theory to cancer cell proliferation and gene expression analysis.
In conclusion, the mathematical analysis offered by game theory provides a powerful tool to improve decision making in medicine, enhancing the collaboration between physician and patient and offering strategies that maximize clinical benefits.


