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arXiv 1202.2080q-fin.GNcs.GTphysics.soc-ph
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战略博弈的量子金融经济学与金融决策

Quantum Financial Economics of Games of Strategy and Financial Decisions

Carlos Pedro Gonçalves

摘要:

有限策略博弈的量子金融方法被解决,将纳什定理扩展到量子金融环境,允许策略博弈与两期金融分配问题的纠缠,这些问题表示为:纯交换经济中的消费计划优化问题和有限状态证券市场优化问题,从而在金融环境中,公司的商业博弈与金融代理人行为之间的相互作用。一套完整的量子阿罗-德布鲁价格,从游戏的策略的量子纳什均衡,被证明是持有,即使在没有证券的市场的完整性,使帕累托最优的结果,而不必假设的完整性条件下,证券的支付矩阵的秩等于可选彩票状态的数量。

英文摘要:

A quantum financial approach to finite games of strategy is addressed, with an extension of Nash's theorem to the quantum financial setting, allowing for an entanglement of games of strategy with two-period financial allocation problems that are expressed in terms of: the consumption plans' optimization problem in pure exchange economies and the finite-state securities market optimization problem, thus addressing, within the financial setting, the interplay between companies' business games and financial agents' behavior. A complete set of quantum Arrow-Debreu prices, resulting from the game of strategy's quantum Nash equilibrium, is shown to hold, even in the absence of securities' market completeness, such that Pareto optimal results are obtained without having to assume the completeness condition that the rank of the securities' payoff matrix is equal to the number of alternative lottery states.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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