Current Research
iswar allah tomar naam
sabaare sumoti dao bhagobaan
ei duniya (biswo) tomaar daan
na keu neech na keu mohaan
ei prithibir (jagoter) maanob santaan
ek aporer somaan somaan
karmoi maanusher mool porichoy
santom sibom anondomoy
- Bangla “transcreation” of the original written by Sahir Ludhianvi. An alternative version is available here.
Quadratically optimal equilibrium points of weakly potential bimatrix games
Question about utility function for monetary gains (and losses)
Extended Choice Functionals- A Cardinal Framework for Choice Under Risk
Extended Choice Correspondences & An Axiomatic Characterization of the Probabilistic Borda Rule
Abstract, citation details and access to published version available at: https://drive.google.com/file/d/1-3RbNNGi2pxa7VV6fVc4-clVd5vFltQB/view?usp=sharing
Von-Neumann’s Price Theory for Bi-matrix Constrained Linear Activity Models
The Problem with the Ricardo-Leontief-Sraffa Input Output Model
A “very simple” proof of the Parity Theorem for Permutations
Earliest available version of the paper on "Parity Theorem"
Half-First Derivative of Quadratic Functions: Marginal Analysis Without Calculus
The Perspective of Finite Mathematics-Rational Algebra and Analysis (available at: https://drive.google.com/file/d/1Ek_S20_zlEAdfRrr3Vm3eyK_8x1Y3pi0/view)
Proper Sub-stochastic Matrices: A Comment
Axiomatic Characterizations of Probabilistic Max-min Extended Choice Correspondence
Extended Choice Functions on Anonymous Domains Determined by Data Matrices
A Simple Proof of an Axiomatic Characterization of State-Salient Decision Rules
The Condorcet Choice Function For Equiprobable States of Nature
Ascending Probabilistic Max-min Extended Choice Correspondence
A proof of a simplified version of a theorem due to Herve Moulin
Understanding Ramsey-de Finetti Probabilities and the St. Petersburg Paradox
https://dx.doi.org/10.2139/ssrn.4659879
Decision-making with state-dependent equiprobable preferences
Global IIA, Sen’s Impossibility Theorem and State-salient Decision Rules
Axiomatic Analysis of Competitive Budget-Constrained Linear Utility Maximization
Cobb-Douglas Exchange Economies: A Response to Cornet (2024)
Budget-Constrained CES-Type Utility Maximization: Axiomatic Analysis
Pure Exchange of State-Dependent Monetary Returns: Existence and Uniqueness of Equilibrium
Budget-Constrained Linear Utility Maximization and the Hurwicz (1951) Criterion
Microeconomics of Inventory in a Supply-chain: A Pre-calculus Approach
Exact Solution Procedure for the Log-Linear Continuous Knapsack Problem
“Greedy Type Algorithms” for The Continuous Linear Multiple Choice Knapsack Problem
The rank theorem for matrices via the weak duality theorem of linear programming
Existence of symmetric equilibrium for negative semi-definite bimatrix games
Are “utility of wealth” and “utility of gains and losses” related? Doesn’t seem so
Loss Aversion and State-Dependent Linear Utility Functions for Monetary Returns
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Linear programming with vector coefficients in the constraints
Allais Experiment and Expected Utility Maximization incorporating Loss Aversion
Axiomatic Characterization of Utilitarian Social Utility for Wealth Distributions
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https://doi.org/10.14293/PR2199.001386.v1
Local Linearity of optimal value function in Linear Programming
Linear Models of Dynamic Optimization with Linear Constraints
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https://doi.org/10.48550/arXiv.2504.00630
A Linear Model of Optimal Control with One-dimensional Control and State Variables
Numerical Representation of Preferences over Random Availability Functions: A Note
Lexicographic Preferences over Random Availability Functions
Existence of symmetric equilibrium for symmetric bi-matrix games: A Quadratic Programming Approach
Existence of Symmetric Equilibrium for Two-Person Symmetric Equal Row-Sums Games
Completely Mixed Bi-matrix Games Without Restrictions on Payoffs at Equilibrium
Pure-Strategy Equilibrium for Bi-matrix Games and Coordination Games
Linear Programming Problems Representing Dorfman’s Model of Monopoly
Infinite Horizon Linear Optimal Control with Linear Constraints