## Mean Field Games Model for Cryptocurrency Mining

Speaker: Max Reppen, from Boston University Time: 04/08/21 ,2-2:50pm Zoom: 992 7853 8762 Abstract: We propose a mean field game model to study the question of how centralization of reward and computational power occur in the Bitcoin-like cryptocurrencies. Miners compete against each other for mining rewards by increasing their computational power. This leads to a novel mean field […]

## Biological and ecological models under stochastic perturbation, past dependence and spatial inhomogeneity: Modeling and longtime characterization

Speaker: Nhu N. Nguyen from University of Connecticut Time: 04/22/21, 2-2:50pm Zoom : 992 7853 8762 Abstract: The dynamics of many models in Biology and Ecology such as: epidemic models, tumor-immune models, chemostat models, prey-predator models, competitive models, and among others can be mathematically described. The earliest and simplest mathematical models are given by ordinary differential equations (ODE). Long-standing […]

## Graphon mean field systems: large population and long time limits

Speaker: Ruoyu Wu from Iowa State University Time: 03/11/2021, 2pm – 2:50 Zoom: 992 7853 8762 Abstract: We consider heterogeneously interacting diffusive particle systems and their large population limit. The interaction is of mean field type with random weights characterized by an underlying graphon. The limit is given by a graphon particle system consisting of […]

## Coalescence estimates for the corner growth model with exponential weights.

Speaker: Xiao Shen (University of Wisconsin Madison) Time: 03/04/2021, 2:00pm -2:50pm Zoom ID: 992 7853 8762 Abstract: We establish estimates for the coalescence time of semi-infinite directed geodesics in the planar corner growth model with i.i.d. exponential weights. There are four estimates: upper and lower bounds on the probabilities of both fast and slow coalescence on the correct spatial scale with exponent 3/2. […]

## The BIG Math Network Industry Connection Series Office Hours

The BIG Math Network promotes careers in Business, Industry and Government to students and departments of the mathematical sciences, with support from five major societies: AMS, ASA, INFORMS, MAA, SIAM. We are pleased to announce free online events for students: BIG Math Network Industry Connection Series Interactive “office hours” with mathematical scientists working in industry. […]

## Optimal investment problem under behavioral setting: A Lagrange duality perspective

Speaker: Zhenyu Cui from Stevens Institute of Technology Time: 02/18/2021, 2:00pm -2:50pm Zoom ID: 992 7853 8762 Abstract:We consider the optimal investment problem with both probability distortion/weighting (e.g. inverse S-shaped probability weighting) and general non-concave utility functions (e.g. S-shape utility). The regular method to solve this type of problems is to apply the concavification technique and then […]

## Pricing American Options Using Convex Risk Measures

Speaker: Hussein Nasralah from WPI Time: 12/10/2020 2-2:50pm Zoom: 992 7853 8762 Abstract: In this talk, we propose a definition for the price of an American option in an incomplete market using the methodology of indifference pricing. In particular, we price options using dynamic monetary convex risk measures given by backward stochastic differential equations, with the driver […]

## Itô’s formula for flow of measures on semimartingales

Speaker: Xiaoli Wei from UC Berkeley Time: 11/05/2020, 2:00pm -2:50pm Zoom: 992 7853 8762 Abstract: We state Itô’s formula along a flow of probability measures associated with general semimartingales. This extends recent existing results for flow of measures on Itô processes. Our approach is to first prove Itô’s formula for cylindrical polynomials and then use function […]

## Sharing Profits in the Sharing Economy

Speaker: Gu Wang from WPI Time: 11/19/2020, 2:00 pm -2:50pm Zoom: 992 7853 8762 Abstract: A monopolist platform (the principal) shares profits with a population of affiliates (the agents), heterogeneous in skill, by offering them a common nonlinear contract contingent on individual output. The principal cannot discriminate across individual skill, but knows its distribution and aims […]

## A General Method for Valuation of Drawdown Risk under Markov Models

Speaker: Lingfei Li from Chinese University of Hong Kong Time: 10/8/2020, 9am-9:50am Abstract: We develop a novel algorithm for the analysis of drawdown in general one-dimensional Markovian models. We compute the Laplace transform of the first passage time of the drawdown process based on continuous time Markov chain (CTMC) approximation and numerically invert the Laplace […]

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