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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

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

The Non-Substitution Theorem, Uniqueness of Solution and Convex combinations of basic optimal solutions for linear optimization

Somdeb Lahiri

Our first result is a statement of a somewhat general form of a non-substitution theorem for linear programming problems, along with a very easy proof of the same. Subsequently, we…

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

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…