2021
DOI: 10.1007/s00780-021-00469-0
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The influence of economic research on financial mathematics: Evidence from the last 25 years

Abstract: This is an attempt to review some of the breakthroughs in economic research as they impacted the nascent field of financial mathematics over the last 25 years. Because of the prominent role of Finance and Stochastics in the definition of this emerging field, I try to view things through the lens of its published papers, and I try to stay away from financial engineering applications.

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Cited by 3 publications
(1 citation statement)
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“…Prior research in this field has employed a master equation incorporating a stochastic FPK or a maximal principle. Assuming indistinguishability within classes, most studies [11][12][13][14][15][16] have concentrated on mean-field game methods in linear-quadratic games with an infinite number of decision-makers. This assumption, however, might not apply in circumstances like variance reduction or risk quantification issues where decision-makers have varying levels of sensitivity to risk.…”
Section: Dcp Applications To Cryptocurrencymentioning
confidence: 99%
“…Prior research in this field has employed a master equation incorporating a stochastic FPK or a maximal principle. Assuming indistinguishability within classes, most studies [11][12][13][14][15][16] have concentrated on mean-field game methods in linear-quadratic games with an infinite number of decision-makers. This assumption, however, might not apply in circumstances like variance reduction or risk quantification issues where decision-makers have varying levels of sensitivity to risk.…”
Section: Dcp Applications To Cryptocurrencymentioning
confidence: 99%