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math.OC2025

Two-Person Additively-Separable Sum Games

Somdeb Lahiri

We consider a sub-class of bi-matrix games which we refer to as two-person (hereafter referred to as two-player) additively-separable sum (TPASS) games, where the sum of the pay-of…

math.OC2025

Linear models of dynamic optimization with linear constraints

Somdeb Lahiri

We introduce a model of infinite horizon linear dynamic optimization with linear constraints and obtain results concerning feasibility of trajectories and optimal solutions necessa…

math.OC2025

A Deterministic and Linear Model of Dynamic Optimization

Somdeb Lahiri

We introduce a model of infinite horizon linear dynamic optimization and obtain results concerning existence of solution and satisfaction of the competitive condition and transvers…

math.OC2025

Global Independence of Irrelevant Alternatives, State-Salient Decision Rules and the Strict Condorcet Choice Function

Somdeb Lahiri

We present a simple proof of a well-known axiomatic characterization of state-salient decision rules, using Weak Dominance Criterion and Global Independence of Irrelevant Alternati…

math.OC2024

Continuity in Parametric Linear Programming

Somdeb Lahiri

In this paper we assemble some results about the upper-semicontinuity and lower-semicontinuity of the feasible correspondence and the solution correspondence of linear programming…

math.OC2024

Exact Solution Procedure for the Log-Linear Continuous Knapsack Problem

Somdeb Lahiri

We provide an exact algorithm to solve the log-linear continuous (fractional) knapsack problem. The algorithm is based on two lemmas that follow from the application of weak dualit…