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IPM
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“School of Biological Sciences”

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Paper   IPM / Biological Sciences / 16128
School of Biological Sciences
  Title:   Parrondos Paradox for Games with Three Players and Its Potential Application in Combination Therapy for Type II Diabetes
  Author(s): 
1.  nasim Ejlali
2.  Hamid Pezeshk
3.  Yogendra P Chaubey
4.  Mehdi Sadeghi
  Status:   Published
  Journal: Physica A
  Vol.:  556
  Year:  2020
  Pages:   https://doi.org/10.1016/j.physa.2020.124707
  Supported by:  IPM
  Abstract:
Parrondos paradox appears in game theory which asserts that playing two losing games, A and B (say) randomly or periodically may result in a winning expectation. In the original paradox the strategy of game B was capital-dependent. Some extended versions of the original Parrondos game as history dependent game, cooperative Parrondos game and others have been introduced. In all of these methods, games are played by two players. In this paper, we introduce a generalized version of this paradox by considering three players. In our extension, two games are played among three players by throwing a three-sided dice. Each player will be in one of three places in the game. We set up the conditions for parameters under which player one is in the third place in two games A and B. Then paradoxical property is obtained by combining these two games periodically and chaotically and (s)he will be in the first place when (s)he plays the games in one of the mentioned fashions. Mathematical analysis of the generalized strategy is presented and the results are also justified by computer simulations.


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