Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Solvency games, introduced by Berger et al., provide an abstract framework for modelling decisions of a risk-averse investor, whose goal is to avoid ever going broke.  study a new variant of this model, where, in addition to stochastic environment and fixed increments and decrements to the investor's alth,  introduce#R##N#interest, which is earned or paid on the current level of savings or debt, respectively.#R##N##R##N# study problems related to the minimum initial alth sufficient to avoid bankruptcy (i.e. steady decrease of the alth) with probability at least p.  present an exponential time algorithm which approximates this minimum initial alth, and show that a polynomial time approximation is not possible unless P=NP.#R##N#For the qualitative case, i.e. p=1,  show that the problem whether a given number is larger than or equal to the minimum initial alth belongs to NP \cap coNP, and show that a polynomial time algorithm would yield a polynomial time algorithm for mean-payoff games, existence of which is a longstanding open problem.  also identify some classes of solvency MDPs for which this problem is in P. In all above cases the algorithms also give corresponding bankruptcy avoiding strategies.
['Tomáš Brázdil', 'Taolue Chen', 'Vojtěch Forejt', 'Petr Novotný', 'Aistis Simaitis']
I am writing a research paper on a idea Solvency Markov Decision Processes with Interest
[{"from": "human", "value": "I am writing a research paper on a idea Solvency Markov Decision Processes with Interest"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Solvency games, introduced by Berger et al., provide an abstract framework for modelling decisions of a risk-averse investor, whose goal is to avoid ever going broke.  study a new variant of this model, where, in addition to stochastic environment and fixed increments and decrements to the investor's alth,  introduce#R##N#interest, which is earned or paid on the current level of savings or debt, respectively.#R##N##R##N# study problems related to the minimum initial alth sufficient to avoid bankruptcy (i.e. steady decrease of the alth) with probability at least p.  present an exponential time algorithm which approximates this minimum initial alth, and show that a polynomial time approximation is not possible unless P=NP.#R##N#For the qualitative case, i.e. p=1,  show that the problem whether a given number is larger than or equal to the minimum initial alth belongs to NP \\cap coNP, and show that a polynomial time algorithm would yield a polynomial time algorithm for mean-payoff games, existence of which is a longstanding open problem.  also identify some classes of solvency MDPs for which this problem is in P. In all above cases the algorithms also give corresponding bankruptcy avoiding strategies."}]