THE MULTI-OBJECTIVE INCOMPATIBILITY PROPAGATION THEORY (MOIPT)

This manuscript presents the Multi-Objective Incompatibility Propagation Theory (MOIPT), a proposed conditional framework for analyzing the joint fulfillment of multiple objectives under specified constraints. Its central research problem is not merely the coexistence of several goals, but the conditions under which those goals become jointly incompatible, the mechanisms through which incompatibility can influence decisions, and the circumstances under which its effects propagate across time and interconnected subsystems. The framework distinguishes objective incompatibility from decision dilemmas, functional contradictions, objective-outcome divergence, and paradoxical feedback. These concepts are treated as analytically distinct states or outcomes rather than interchangeable labels or inevitable stages of one process.The primary case is the Mental-Healthcare Provider Purpose-Revenue Conflict Case (MHPRCC). This case concerns a possible tension between patient-centered professional objectives and payment arrangements that link provider revenue to service volume or duration. It does not assume that providers generally act in bad faith or that continued treatment is inherently inappropriate. The case instead provides a setting in which incentive alignment, clinical appropriateness, professional constraints, and economic sustainability can be analyzed separately.The manuscript specifies a nine-stage candidate mechanism, defines objective and system variables, formulates feasibility conditions, and proposes a constrained multi-objective decision model and a linear dynamic propagation model. It also develops hypotheses, boundary conditions, counterexamples, a research protocol, and a comparative novelty-assessment strategy. Mathematical expressions are presented as conditional models rather than established universal laws. The theory's independent novelty, predictive contribution, mathematical validity, and empirical performance remain open research questions requiring independent verification.