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03/14/2022
Stochastic integral representation of solutions to Hodge theoretic Poisson's equations on Graphs, and cooperative value allocation of Shapley and Nash
The fundamental connection between stochastic differential equations (SD...
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07/22/2021
Hodge theoretic reward allocation for generalized cooperative games on graphs
We define cooperative games on general graphs and generalize Lloyd S. Sh...
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06/29/2021
A Hodge theoretic extension of Shapley axioms
Lloyd S. Shapley <cit.> introduced a set of axioms in 1953, now called t...
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01/29/2020
Geometrical bounds for the variance and recentered moments
We bound the variance and other moments of a random vector based on the ...
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07/31/2019