Value Management Theory (VMT) is a descriptive theory intended for the formal analysis of value and anti-value in socio-economic systems.
Its primary goal is to provide a coherent conceptual framework for describing how value emerges, is transmitted, consumed, transformed, accumulated, and lost within and between systems of interacting actors.
VMT introduces a minimal and self-consistent conceptual apparatus (ontology), formulates a set of foundational statements (axioms), and derives a system of theorems that together make it possible to:
The theory is explicitly non-normative: it does not prescribe how value should be created or distributed, but instead provides a language for explaining how value dynamics actually operate in complex systems.
VMT is designed for situations in which value and anti-value cannot be reduced to market prices or profit alone. Typical examples include:
In such contexts it is often necessary to formally distinguish between:
VMT explicitly allows for actors to be:
This makes the theory applicable to a broad class of socio-economic configurations, without assuming symmetry of interests, information, or interpretation.
VMT does not replace classical economic theories. Instead, it complements them by focusing on aspects that are often implicit, abstracted away, or treated indirectly.
Traditional economic frameworks typically express "value" through:
VMT remains compatible with these approaches, but introduces a different analytical focus:
value as an interpreted change of state within a system, rather than as a scalar quantity derived from prices or utility functions.
This shift allows VMT to describe phenomena such as:
VMT deliberately does not aim to:
Any inter-system comparison of value requires an explicit translation rule, which lies outside the theory itself.
In this sense, VMT should be understood as a foundational descriptive framework: it supplies a precise language for reasoning about value dynamics, upon which methodological, empirical, or normative layers may later be built.
This section introduces the formal ontology of Value Management Theory (VMT). The ontology defines the minimal set of entities, relations, and properties required to consistently describe value and anti-value dynamics in socio-economic systems.
A value system is a formally defined set of actors and directed interactions between them, within which value and anti-value can be meaningfully defined, transmitted, consumed, and transformed.
A value system is meaningful as an analytical construct if and only if the following conditions hold:
A value system is defined by the tuple:
VS = {A, F, G, R, T}
System boundaries are implicitly defined by the choice of sets A and F. An actor or flow belongs to a system if and only if it is included in these sets. Therefore, a separate ontological definition of "boundary" is unnecessary and derivable from O1.
A value system may explicitly or implicitly define a value aggregation policy- a rule that determines how interpreted values and anti-values are aggregated into system-level assessments.
An aggregation policy may define the admissibility or inadmissibility of reducing different types of value to a common scale, the priorities of criteria G, and the rules for trade-offs in cases of value conflicts.
The absence of an explicit aggregation policy implies that any statements about the total value of the system are incomplete and depend on unspecified assumptions.
An actor is an element of a value system capable of interpreting changes in its state in terms of value and anti-value, forming interests and preferences, and participating in value flows.
An actor is capable of:
An actor may be a pure consumer within the analyzed system. Value production by this actor may occur in other systems intentionally excluded from the current analysis.
A value element is an abstract object interpreted as value or anti-value that can be transmitted, consumed, and/or transformed within flows of a value system.
A value element may represent:
Elements may have types type(E) if distinguishing them is necessary for interpreting flows and actor state changes.
Importantly, element type is a qualitative semantic attribute, not a quantitative one. Quantitative characteristics arise from multiplicity, scale, or intensity of flows.
Value is an interpreted form of actor state change that increases the actor’s ability to reach criteria G within a value system. VMT distinguishes four forms of value interpretation.
Potential value is an interpreted possibility of actor state change that exists before a recipient is defined and before a delivery flow is organized.
It reflects an actor’s capacity to form planned value in the future, without obligation or intent to deliver it to a specific recipient.
Planned value is the sender’s interpretation of potential value once a recipient is defined and a decision is made to direct value into a specific flow, as an expected impact on the recipient within the value system.
Planned value exists prior to consumption and characterizes intention and expectation expressed through elements and flows.
Realized value is defined exclusively through the interpretation of the receiving actor as the actual ordered change of its state resulting from consumption of a value element.
Retrospective value is a re-evaluation of previously realized value by the consuming actor, arising from subsequent use of that value to form planned value in new flows and from feedback on its realization.
Formally, V1retro arises when an actor realizes V1real, uses it to form V2plan, observes V2real, and revises the original interpretation of V1real.
Properties:
Apparent “change of value over time” may result either from the emergence of retrospective value within an expanded system or from the transition of an element into a different value system (see O9).
Within a given value system, value elements may be interpreted as terminal or instrumental.
Terminal value is value realized at the point of consumption, after which further use of the element either lies outside the boundaries of the considered value system or forms a new value system.
Instrumental value is value that is significant within the system exclusively as a means for forming, transferring, or amplifying future value at subsequent converters.
The distinction between terminal and instrumental value is contextual and is determined by the boundaries of the value system, the criteria G, and the temporal horizon of consideration.
Anti-value is an interpreted change of actor state that reduces its ability to reach criteria G within a value system.
Anti-value exists in the following forms:
Anti-value is not "zero value"; it is an independent category of state change.
A value flow is a directed interaction between two actors (sender and receiver) through which one or more value elements and associated expectations are transmitted.
Formally:
F = {as, ar, E, Vplan, AVplan, Vreal, AVreal, t}
Qualitative semantics of a flow are determined by element types and interpretation rules R.
Quantitative characteristics arise from element multiplicity, scale, transmission frequency, and magnitudes of Vplan, Vreal, AVplan, AVreal.
A flow begins when value or anti-value held by the sender is directed toward the receiver. A flow ends when consumption occurs and a definitive realized interpretation Vreal/AVreal is formed.
Value realization is the event (or process) in which the receiving actor consumes flow elements and forms Vreal and/or AVreal as a change of its own state within the value system.
During realization, the actor may:
Value transformation is a special case of realization in which, after consuming flow elements and realizing value or anti-value, an actor produces new value or anti-value elements intended for further use or transmission.
A transformer is not an entity but a role of an actor in a specific transformation:
role(a) = Transformer if actor a performs transformation per O8.1.
The same role may be realized by multiple actors, enabling redundancy and scaling.
The same empirical set of interactions may be interpreted as different value systems with different criteria G, rules R, and temporal horizons T. Therefore, value is not a universal quantity.
Value and anti-value may be:
Lack of observability does not imply absence of value or anti-value.
Criteria G may not always be fully articulable by an actor; interpretation may be purely qualitative or ordinal.
Sources of changes in value interpretation may differ in their nature.
Epistemic sources of interpretation are based on the observation of the consequences of value realization, feedback, and changes in the state of actors after the use of value elements.
Influential sources of interpretation are based on external interpretative influence (social, informational, institutional) and are not a direct consequence of the realization of value elements.
These sources may lead to different dynamics of changes in planned, realized, and retrospective value.
An actor’s participation condition in a value system over horizon T is defined by individual threshold levels of interpreted value and anti-value, as well as by the actor’s ability to transform value and direct planned value into flows for which demand exists.
Each actor has a participation threshold θa defining an acceptable balance of participation.
A value system exhibits mutual participation over horizon T if, for every actor, there exists at least one cycle of flows connecting:
such that the participation condition O11 is satisfied.
Flow resistance is a property of a flow expressing the cumulative effect of factors leading to:
Resistance may depend on system history: accumulated anti-value, accumulated expectation mismatches, and unaccounted retrospective re-evaluations.
Flow resistance may also include undelivered value - elements directed into a flow but not reaching the receiver due to delays, blockages, or loss of interpretive context.
A flow is external to a value system if its sender or receiver does not belong to the actor set A of that system.
A system exhibits value leakage over horizon T if the total realized value leaving the system through external flows persistently exceeds the total realized value entering it.
Actor interpretations of value may change over time under the influence of flows, transformations, and external signals not directly transmitted as value elements.
Interpretive dynamics affect:
Interpretive influence is an effect by which one actor (or system) alters another actor's interpretation of value.
Value storage is the process of accumulating value by an actor without immediate state change.
Stored value requires maintenance costs and may be used for later transfer or transformation.
Long-term storage of planned value increases the temporal gap between creation and consumption, raising the risk of divergence between Vplan and Vreal. Re-evaluation is required before stored value is directed into a flow.
This section lists the foundational axioms of Value Management Theory (VMT). Axioms establish the minimal set of statements assumed to hold within the theory; theorems and derived results follow from these axioms in combination with the ontology.
Value and anti-value are defined exclusively within a specific value system; outside a value system, statements about value are logically incomplete.
The same empirical reality may have different interpretations of value and anti-value in different value systems.
Any change in the distribution of value and anti-value within a value system can be represented as a set of directed flows between actors.
The planned value of a flow and the realized value obtained by an actor generally do not coincide.
Anti-value is an independent form of actor state change and is not reducible to the absence of value.
Realized value arises at the moment an actor consumes planned value as an ordered change of its state, regardless of whether this leads to further production or transformation of value.
Value transformation takes place if and only if an actor, having realized planned value, produces new planned value or anti-value for other actors.
An actor participates in a value system only if its participation condition is satisfied over the chosen time horizon.
A value system is sustainable if and only if participation conditions are satisfied for all actors belonging to the system over the chosen time horizon.
Value systems interact with each other exclusively through external flows of value and anti-value.
If, over a chosen time horizon, the total realized value leaving a value system through external flows persistently exceeds the total realized value entering the system through external flows, then the system exhibits value leakage.
There is no conservation law of value in value systems: value may arise, transform, lose interpretive meaning, and disappear as a result of changes in context, system structure, or interpretation conditions.
Within a value system, value and anti-value elements may be fully commensurable, partially commensurable, or incommensurable under the chosen aggregation policy.
Commensurability is not a mandatory property of value. The absence of commensurability does not preclude the possibility of comparing value elements according to individual criteria or within partial orders.
This section presents the theorems of Value Management Theory (VMT). Theorems are derived consequences of the ontology and axioms and describe structural effects observed in value systems: interpretation divergence, resistance and accumulation, sustainability, inter-system dependence, and scaling through interpretation.
A statement about value or anti-value without an explicit specification of the value system and actor interpretations is logically incomplete and cannot have an unambiguous meaning. (A1, A2)
The same flow and the same value element may have different (including opposite) interpretations in different value systems. (A2, A3, O4–O6)
In any non-trivial value system, there exists a structural divergence between the sender’s planned value and the receiver’s realized value; zero divergence is a special unstable case. (A4, A6, O4–O7)
For any flow in a value system, there exists resistance expressed as Vplan ≠ Vreal and/or the emergence of AVreal.
The total resistance of the system increases with the accumulation of:
(A3, A4, A5, O13)
Optimizing individual flows or actors does not guarantee an improvement of the system’s realized value, because global dynamics are determined by the structure of flows, their resistance, and participation conditions. (A3, A4, A8)
If a value system persistently accumulates:
then the system’s capacity to realize future value decreases (flow resistance grows and the reproducibility of realization declines). (A4, A5, A6, A12, O13)
If an actor’s participation condition is violated over horizon T, the actor either leaves the value system or changes its form of participation (flows, roles, or interpretation criteria), which changes the system’s flow structure. (A8, A9, O11)
A value system loses sustainability if and only if it becomes impossible to perform a necessary value transformation role or to deliver value through the corresponding flows, due to loss of actors, flow disruption, or exceeding the permissible level of flow resistance.
Corollaries:
(A7, A9, O8, O13)
If the observable flow structure does not explain the sustainability of a value system, then the system contains latent or unaccounted value/anti-value flows, or the system boundaries (sets A and F) are specified incorrectly. (A3, A8, A9, O10)
A value system is inter-system dependent if its internal structure and flow balance require a stable inflow of value from external systems or a stable outflow of value into external systems in order to maintain permissible flow resistance and satisfy actors’ participation conditions.
Corollaries:
(A10, A11, O13, O14)
If system sustainability is ensured predominantly by inflows of value from external systems without an equivalent return, then the system is parasitic relative to those external systems (in an analytical, non-ethical sense). (A10, A11, O15)
A value system is capable of self-sustaining growth if and only if a substantial share of realized value remains within the system and is used to strengthen its future capacity to realize and transform value (autocatalysis). (A6, A7, A12, O15)
There is no universal optimality criterion applicable to all value systems; “optimality” is defined only relative to a chosen value system and its criteria. (A1, A2, A12)
If realized value is systematically not interpreted (i.e., does not influence subsequent planned values, transformations, or interpretation rules), then its influence on the system’s future dynamics disappears and it becomes equivalent to “lost” value for the system. (A6, A12, O10)
Changing the boundaries of a value system (changing the sets of actors and flows included in the analysis) may change the interpretation of value and conclusions about flows and sustainability without changing the empirical reality. (A1, A3, A10, O1)
If interpretive dynamics leads to changes in actors’ value criteria, this may cause:
Scaling of a value system based exclusively on changes in value interpretation, without confirmation through the consequences of its realization, is structurally unstable and leads to increased resistance of value flows.
If changes in the interpretation of planned value within a value system occur persistently under the influence of influential sources of interpretation and are not accompanied by confirmation of value interpretation through the consequences of its realization, then:
Such interpretational distortion may persist for a prolonged period without immediate violation of the stability of the value system.
This section describes the limits of applicability of Value Management Theory (VMT). These limits follow from the theory’s contextual nature, the interpretive character of value, and the practical constraints of observation and modeling in socio-economic systems.
From A1–A2 and T13 it follows that statements about value are valid only within a specified value system.
Therefore, VMT does not provide a universal procedure for comparing value across value systems. Any inter-system aggregation requires an explicit translation rule, which is an external modeling hypothesis. (A12; T15)
From O10 and T9: if a flow model does not explain system sustainability, this indicates one or more of the following:
VMT treats latency as a normal property of socio-economic systems. Consequently, strict empirical conclusions require additional observable proxies and an explicit model translating observations into Vreal/AVreal.
VMT is not a general equilibrium theory: it does not derive prices and does not guarantee existence or uniqueness of competitive equilibrium under given preferences and technologies (in contrast to Arrow–Debreu frameworks).
VMT operates with interpreted value and anti-value in value systems and allows prices to be treated as only one particular class of elements and flows.
VMT is compatible with the economic apparatus of utility, but it is not identical to it.
In microeconomics, utility is often introduced as a representation of preferences. In VMT, value is fixed as an interpretation of state change within a value system and allows:
This limits the use of VMT as a direct replacement for standard utility formulations.
A3 asserts representability of changes via flows. However, the practical applicability of this representation may be limited by:
Formally, these issues do not refute A3, but they constrain empirical operationalization.
VMT is not a theory of social welfare and does not provide normative efficiency criteria by default.
Any normative conclusion requires explicit specification of a value system and its goals G. (T13)
Value Management Theory does not assert the objective or subjective existence of value in a metaphysical sense.
VMT operates with interpreted value as an observable effect of interactions between actors within a value system. Questions concerning “value in itself” lie outside the scope of applicability of the theory and are not required for its formal use.
This section explains how Value Management Theory (VMT) satisfies the requirement of falsifiability. In VMT, falsifiability is addressed in three complementary ways:
VMT is falsified if one can construct an internal contradiction while correctly adhering to definitions O1-O15. Examples of formal contradictions include:
Because VMT is contextual (A1), a correct empirical test requires:
Under these conditions, potential falsifiers take the following form:
If, in a broad class of non-trivial systems, it is shown that Vplan = Vreal for flows systematically and stably (not as a special case), then A4/T3 are false.
If the observable flow structure is sufficient to predict system sustainability or collapse, and it can be strictly demonstrated that there are neither latent flows nor boundary specification errors, then T9 in its strong form may be weakened. (In practice this is extremely difficult, but logically possible.)
If a sustainable system is demonstrated in which a necessary transformation role is fully lost on a system segment, and no alternative role emerges and no compensating restructuring of flows/criteria occurs, then T8 is false.
If a stable class of systems is demonstrated where termination of the required inflow/outflow does not affect flow resistance or participation conditions under a fixed system structure, then T10 is false.
Any empirical test of VMT relies on auxiliary hypotheses, including:
Therefore, falsification in practice typically has one of two forms:
VMT requires explicit separation of these levels in scientific interpretation of empirical results.
This section positions Value Management Theory (VMT) relative to established bodies of work in economics and related fields. VMT is designed to be compatible with these theories, while providing a distinct analytical focus: value as an interpreted change of state within a value system, represented through value elements and value flows.
In VMT, money is treated as a universal element for transferring value, whose interpretation is relatively synchronized across many value systems.
Nevertheless, monetary elements remain subject to all VMT properties: their realized value depends on context, interpretation, and subsequent transformation. This explains why identical monetary amounts may be perceived differently by different actors.
Classical microeconomics models choice through preferences and utility. VMT is compatible with this tradition in the sense that:
However, VMT adds several structural distinctions:
Lancaster’s approach treats goods as bundles of characteristics. This is conceptually close to VMT’s notion of typed value elements type(E), whose qualitative properties affect how value is interpreted within a system.
The difference is that VMT additionally formalizes:
Revealed preference theory allows reconstruction of preference structure from observed behavior. For VMT, this can serve as a possible bridge for operationalizing G and observable indicators of Vreal under strong latency.
At the same time, VMT is not reducible to revealed preferences, since value remains contextual and multi-layered.
Arrow–Debreu theory formalizes the existence of competitive equilibrium given preferences and initial endowments.
VMT is not an equilibrium theory and does not derive market prices. Instead, VMT:
Thus, VMT should be treated as an orthogonal (complementary) formalization: value as interpretation within a system, rather than market-clearing via prices.
The question "why firms exist" (Coase, Williamson) is linked to transaction costs and alternative coordination mechanisms (markets vs hierarchies).
VMT is compatible with this line of thought and refines the descriptive language of coordination costs through:
At the same time, VMT does not replace the theory of the firm: it does not derive optimal firm boundaries, but provides a formal apparatus for describing value/anti-value flows within and between institutional forms.
Contract theory and principal–agent models (Holmström; Hart) formalize settings where observability of actions is limited and incentive imperfections arise.
VMT is conceptually consistent with these theories along two main dimensions:
At the same time, VMT is not a theory of optimal contracts and does not derive contract forms; it describes value/anti-value dynamics into which contractual mechanisms may be embedded as elements and interpretation rules R.
Game theory (von Neumann–Morgenstern) introduces a formalism of strategic interaction and expected utility under uncertainty.
VMT does not compete with game theory: it may use it as an external instrument for modeling actor behavior within a specified value system.
The key difference is that VMT formalizes not strategic choice itself, but the interpretation and dynamics of value/anti-value flows, including retrospective re-evaluation and inter-system leakage.
Classical management frameworks and commercial approaches (value chain, value stream, Lean/VSM, DevOps flow metrics, value-based management/EVA) may be interpreted as partial methodological or instrumental layers above VMT, because they:
VMT is conceptually compatible with philosophical value theory in its distinctions between instrumental and terminal value, the plurality of value criteria, issues of commensurability and aggregation, and the dependence of value on interpretation and context.
At the same time, VMT does not compete with or replace philosophical value theory; instead, it employs these distinctions as a meta-level foundation for formalizing the dynamics of value in socio-economic systems.