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    <article-meta>
      <contrib-group>
        <aff id="aff0">
          <label>0</label>
          <institution>Department of Computer and Systems Sciences, Stockholm University</institution>
          ,
          <country country="SE">Sweden</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>The notion of value has been thoroughly investigated in philosophy, economics, sociology and other social sciences. However, the notion of value remains highly ill-defined and elusive, as it is subjective as well as context dependent. This paper proposes an ontology for conceptualizing the notion of value ascription that is founded on an analysis of context notions, showing how value of objects can be explained in terms of value of states of affairs.</p>
      </abstract>
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  </front>
  <body>
    <sec id="sec-1">
      <title>Introduction</title>
      <p>
        The subject matter of this paper is that of value ascription as applied to states
of affairs. More precisely, it is about the possibility to derive the value of some
object from value ascribed to a state of affairs. At its core this work is related
to metrology and measurement. Metrology is the science of measurement and
its applications, and measurement is a “process of experimentally obtaining one
or more quantity values that can reasonably be attributed to a quantity” [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ].
However, the focus of metrology and measurement is on objectivity and
quantitative measures. Variations in results are explained as for instance unavoidable
effects of environmental factors and labeled as measurement errors. Separating
what is measured from its context so that measurements become objective and
reproducible can at times be very hard, not the least when a measurement relies
on psychological elements.
      </p>
      <p>Valuations are subjective as they are made by a single actor, being
fundamentally dependent on that actor’s intentions, goals and other influencing factors.
Other actors can not be assumed to reach the same valuation of the same
matter, although agreements sometimes can be had. Further, valuations are context
dependent in that an object being valued is always embedded in a context
comprising other objects and their relations, and this context fundamentally affects
the value ascribed to the object. It is even hard to think of the value of almost
anything without also taking its context into account. The two seem
inextricable. For example, a bottle of water is more valuable in the desert when you are
thirsty than when you are at home not being thirsty, where the difference is
explainable by the difference in context.</p>
      <p>
        The goal of this paper is to conceptualize the notion of value ascription, in
which an agent ascribes value to some value object. Thus, we do not attempt
to define the notion of value per se, but instead explore ontological assumptions
underlying value ascription independently of different value notions. The result
is a value ascription ontology (VAO) that includes the concepts required for
representing and explaining value ascriptions. The approach is similar to that
of [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ], where value is ascribed to a ’relator’ which is a reified relationship that
can maintain identity over time [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ], though the relator concept will not be as
central here as in [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ]. Gailly et al. proposes a core value ontology for the purpose
of clarifying the semantics of value propositions [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ]. While not the main focus
it also touches on value ascription. Value is defined as the propositional content
of a belief and relates a belief to a situation. In VAO a state of affairs and a
value structure is related by means of a quale (a quale being a point in a value
structure). The difference is subtle but ontologically significant.
      </p>
      <p>
        To the farthest extent, the constructs of the propsed VAO will be related
to the OntoUML ontology [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ] for reasons of clarity and precision. The main
envisioned benefit of the proposed ontology is that it should provide the concepts
needed for representing value ascription in a generic sense. From a value analysis
point of view at least two fundamental questions about valuations should be
answerable: (a) if an object is kept fixed, what happens to its ascribed value when
the context changes? and (b) which object out of several will be ascribed the
highest value in a context? Thus, the ontology emphasizes the strong connection
between a value object and its context.
2
2.1
      </p>
    </sec>
    <sec id="sec-2">
      <title>The Value Ascription Ontology</title>
      <sec id="sec-2-1">
        <title>Agents and Value Ascriptions</title>
        <p>
          An agent is an endurant that can carry out actions and have intentions. Thus,
not only persons are agents but also organizations and collectives, such as groups,
meaning that the class Agent is stereotyped as category. An agent can play two
different roles in a value ascription. First, an agent can be the one for whom a
value is ascribed to a value object. Secondly, an agent can be the one who makes
the value ascription, that is, the value ascription is performed by that agent.
These two roles of agents in a value ascription are modelled by the associations
for and by in figure 1. The agent roles introduced here correspond to the notions
of value beneficiary and value beholder in the work by [
          <xref ref-type="bibr" rid="ref7">7</xref>
          ]. In some cases, the
same agent can play both roles, i.e., an agent judges herself how valuable a value
object is for her. But it is also possible that one agent judges the value of a value
object for another agent.
        </p>
        <p>A value beholder carries out a value ascription by assessing how well the
qualities and dispositions of a value object fit the needs and wants of a value
beneficiary. A contentious issue is whether there can exist objective value
ascriptions for which noone actually makes the ascription, but instead the value
ascribed is based on an objectively complete and correct computation of the
fit between value object and agent. Computing such a theoretical value could
in principle require an omniscient being with potentially infinite cognitive
resources, meaning that in practice only approximations of the objective value
may be achieved. For this reason, we have not included the possibility of
objective value ascriptions in the ontology.</p>
        <p>Fig. 1. An Ontology for Value Ascription
2.2</p>
      </sec>
      <sec id="sec-2-2">
        <title>Value Objects, Value Ascriptions and Value Protocols</title>
        <p>
          A value object is an object to which an agent can ascribe value. As argued in
[
          <xref ref-type="bibr" rid="ref2">2</xref>
          ], in principle any object can be a value object, including physical objects,
mental states, events, and actions. However, we will here take a more restricted
view and consider value objects as substantials, meaning that a value object has
identity and persists over time. Typical examples of value objects are goods,
services and social relationships based on these, such as orders and invoices. The
reason for the restriction to substantials is that we focus on use value, i.e., how
value objects can be used by agents for fulfilling their needs and desires.
        </p>
        <p>Through a value ascription, an agent ascribes a value to a value object, i.e.,
she judges how valuable the value object is for a value beneficiary. Thus, a
value ascription is an event in which a value beholder ascribes value to a value
object for a value beneficiary. But a value object does not have a value in any
absolute sense. Instead, the value depends on properties of the agent as well
as circumstances around the agent. In order to capture these, we introduce the
notion of a value protocol, which consists of three components:
– A context frame consisting of a set of contexts that specify in which
circumstances a value object will be used
– A value structure consisting of a set of value dimensions that specify which
kinds of value that are to be considered in a value ascription
– A comparison frame consisting of a set of value objects that provide a
baseline for a value ascription</p>
        <p>A value ascription is always carried out with respect to a value protocol, i.e.,
a value ascription needs to take into account all three components of a value
protocol. In the following subsections, these three components are described in
detail.
2.3</p>
      </sec>
      <sec id="sec-2-3">
        <title>Contexts</title>
        <p>Value depends on the context, or contexts, in which a value object is intended
to be used. For example, a sports car may offer much status when used in
the context of driving to work but much less status when used for driving on
a countryside vacation. Merriam-Webster defines context as “The interrelated
conditions in which something exists or occurs” meaning that a context is always
relative to something that is in focus. In the following, a context will be a context
of a value object, and value is ascribed to a value object in a context. Thus, value
ascription is always context dependent.</p>
        <p>
          To more precisely define the notion of context, it is helpful to consider the
concept of unsaturated relationships. In accordance with the conception of Frege
and as discussed in [
          <xref ref-type="bibr" rid="ref6">6</xref>
          ], a distinction can be made between saturated and
unsaturated relationships. A first step in clarifying this distinction is to note that a
relationship symbol xRy is unsaturated in the sense that it requires the addition
of two names in order to form a sentence, e.g., the expression aRb. Analogously,
relationships can also be unsaturated if one or more of their relata are
missing. When all of the missing relata are instantiated, the relationship becomes
saturated. A context is a set of objects, some of their properties, some of their
(saturated) relationships as well as a number of unsaturated relationships that
involve these objects and that can be saturated by instantiating all the missing
relata with one and the same value object. Intuitively, a context can be viewed
as a state of affairs with a hole that leaves some relationships unsaturated
(dangling). When the hole is filled by a value object, the result is a state of affairs.
        </p>
        <p>Ascribing value to a value object in a context means to evaluate a state
of affairs, i.e., the state of affairs that arises when the missing relata of the
context are instantiated with the value object. In this sense, value ascription is
fundamentally about the value of states of affairs, as this is used to define the
value of value objects. It is not meaningful to ascribe value to a value object
simpliciter but only to a value object in a context.</p>
        <p>In the ontology, two classes are introduced to represent value ascriptions.
The class SoA Value Ascription represents value ascriptions to a single state of
affairs that is made up of a value object and a context. But it can also be of
interest to ascribe value to a value object across a set of contexts, as this could
represent the overall value of a value object across all the contexts relevant
for an agent. The class VO Value Ascription represents value ascriptions that
take into account not only a single context but a context frame, consisting of
a set of contexts. For example, an SoA value ascription could judge the value
of a Chromebook computer in the context of viewing movies at home, while a
VO value ascription could judge the value of the same Chromebook across the
three contexts of viewing movies at home, giving lectures, and travelling on a
conference. Reaching a final, overall value may involve weighting of SoA value
ascriptions. How much weight that is assigned to each context in a context frame
depends on its relative importance to the agent for which the value ascription is
made. We will not delve deeper than this into theories behind the various ways
a final value can be established in this paper.
2.4</p>
      </sec>
      <sec id="sec-2-4">
        <title>Value Structures</title>
        <p>The value ascribed in a value ascription is a value quale, which can have a
more or less complex structure. In the simplest case, it is just a scalar, e.g., a
utilitarian value could be described by a single number, which takes into account
and summarizes all the values that a value object has for an agent. This number is
a value quale belonging to a value structure consisting of a single value dimension.
In more complex cases, a value quale belongs to a value structure that is a
multidimensional space.</p>
        <p>For illustrating value quales, consider a person called Peter and a car ABC123.
In a value ascription of a utilitarian value, a value quale could be the number 7
on a scale from 0 to 10, indicating that the car ABC123 is overall quite valuable
for Peter.</p>
        <p>The selection of the value dimensions of a value structure in a particular
situation depends on the needs and desires of the value beneficiary. The value
ascribed to a value object in a context in one value dimension would then depend
on how well the value object fits the corresponding need or desire in that context.
Thus, value ascriptions are justified through an analysis of the fits between value
objects, contexts and the needs and desires of agents.
2.5</p>
      </sec>
      <sec id="sec-2-5">
        <title>Comparison Frames of Value Objects</title>
        <p>
          Through a value ascription, a value, in the form of a value quale, is ascribed to
a value object in a context. However, the meaning of such a value ascription is
still ambiguous. As an example, suppose that a value ascription ascribes a value
of high convenience to using a certain computer in the context of delivering a
lecture. One interpretation of this ascription is that it means that delivering
a lecture using the computer is highly convenient. However, this interpretation
does not seem adequate, as delivering the lecture may be inconvenient regardless
of the computer due to other factors, such as lighting, ventilation, noise, etc. The
above interpretation assumes that a value can be ascribed in an absolute sense,
but this is a problematic assumption, as pointed out by [
          <xref ref-type="bibr" rid="ref8">8</xref>
          ].
        </p>
        <p>An alternative interpretation would be based on a relative notion instead of
an absolute one, i.e., more convenient than instead of convenient. Ascribing a
value of high convenience to a certain computer in the context of giving a
lecture could then tentatively be interpreted as “using this computer when giving
a lecture is more convenient than giving a lecture with most other computers”.
Following this interpretation, a value ascription becomes inherently
comparative. It is not possible to ascribe a value to a value object in isolation; instead,
value ascriptions are about comparing value objects along one or several value
dimensions. As a consequence, performing a value ascription requires that in
advance some set of value objects to be valuated and compared have been
identified. This requirement can be addressed by introducing a comparison frame,
i.e., a set of value objects that provide a baseline for a value ascription. And
any value ascription is performed with respect to such a comparison frame. The
choice of comparison frame will typically have a significant effect on the value
ascribed by a value ascription. For example, the same computer may be ascribed
a high value on convenience when compared to a set of legacy computers but a
low value when compared to a set of up-to-date premium computers.</p>
        <p>To summarize, when an agent performs an SoA value ascription, she picks
a value object, a context, and a comparison frame. The value object and the
context give rise to a state of affairs, call it S, and the comparison frame and
the context give rise to a set of states of affairs, call them SS. The agent then
compares S to SS, i.e., for each value dimension she determines how S compares
to the states of affairs in SS. And based on these comparisons, she ascribes a
value to the value object in the context with respect to the chosen comparison
frame.</p>
      </sec>
    </sec>
    <sec id="sec-3">
      <title>Illustration</title>
      <p>Value ascriptions can easily be visualized in a tabular structure, see figure 2.
Contained in a Value protocol are two tables – Value structure and State of
affairs. The column headings in Value structure are the names of the Value
dimensions, and the cells below the headings specify allowed values. In the State
of affairs table, the row headings correspond to the comparison frame, i.e., the
value objects under consideration, while the column headings correspond to the
context frame, i.e., the contexts of interest. Each cell in the table corresponds
to one value ascription.</p>
      <p>As an example for illustrating the use of the ontology, we choose the use
of laptops in three different contexts. The comparison frame consists of the
following three laptops: Dell XPS 13, Chromebook and Lenovo Thinkpad. The
context frame includes three contexts: at home, at work, and travelling. The
value structure chosen consists of two value dimensions: appropriateness and
status. In this case, a column shows how an agent compares three computer
models in one context. In a row, a computer model can be compared with itself
in another context. For example, the value ascribed to the state of affairs of
using a Chromebook at home is 〈appropriateness: 3, status: Low〉, meaning that
its appropriateness is on the low side and the status value is also low. This can
be contrasted with its use when travelling where it is considered to be very
appropriate and to have a high status. Whether a model is better than another
is determined by establishing respective overall values in a VO Value ascription
and comparing them. The values assigned depend on both the value beholder
and the value beneficiary, neither of which is indicated in the table.
4</p>
    </sec>
    <sec id="sec-4">
      <title>Discussion Items</title>
      <p>
        This paper proposes an ontology for value ascription. The design of the ontology
reflects that value ascription is both inherently subjective and context
dependent. Future research can be continued in several directions. The ontology is
currently delimited to use value, but there are also other kinds of values that
can be ascribed, e.g. exchange value. Thus, the ontology should be extended
to accommodate those kinds of value. Another direction is to investigate the
connection between a value protocol and a final value. This relationship is in
part also a method question, although method is not part of the ontology. Some
additional outstanding questions are:
– Are value objects individuals or universals?
– Should contexts be modelled by means of scenes and events (as suggested
by [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ]) or states of affairs?
– How are value ascriptions related to exchange value?
– How can value ascription inform value proposition design?
      </p>
    </sec>
  </body>
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