# Rational choice model

Rational choice modeling refers to the use of decision theory (the theory of rational choice) as a set of guidelines to help understand economic and social behavior. The theory tries to approximate, predict, or mathematically model human behavior by analyzing the behavior of a rational actor facing the same costs and benefits.
Rational choice models are most closely-associated with economics, where mathematical analysis of behavior is standard. However, they are widely-used throughout the social sciences, and are commonly applied to cognitive science, criminology, political science, and sociology.

## Overview

The basic premise of rational choice theory is that the decisions made by individual actors will collectively produce aggregate social behaviour. The theory also assumes that individuals have preferences out of available choice alternatives. These preferences are assumed to be complete and transitive. Completeness refers to the individual being able to say which of the options they prefer (i.e. individual prefers A over B, B over A or are indifferent to both). Alternatively, transitivity is where the individual weakly prefers option A over B and weakly prefers option B over C, leading to the conclusion that the individual weakly prefers A over C. The rational agent will then perform their own cost–benefit analysis using a variety of criterion to perform their self-determined best choice of action.
One version of rationality is instrumental rationality, which involves achieving a goal using the most cost effective method without reflecting on the worthiness of that goal. Duncan Snidal emphasises that the goals are not restricted to self-regarding, selfish, or material interests. They also include other-regarding, altruistic, as well as normative or ideational goals.
Rational choice theory does not claim to describe the choice process, but rather it helps predict the outcome and pattern of choice. It is consequently assumed that the individual is a self-interested or “homo economicus”. Here, the individual comes to a decision that optimizes their preferences by balancing costs and benefits.
Rational choice theory has proposed that there are two outcomes of two choices regarding human action. Firstly, the feasible region will be chosen within all the possible and related action. Second, after the preferred option has been chosen, the feasible region that has been selected was picked based on restriction of financial, legal, social, physical or emotional restrictions that the agent is facing. After that, a choice will be made based on the preference order.
The concept of rationality used in rational choice theory is different from the colloquial and most philosophical use of the word. In this sense, "rational" behaviour can refer to "sensible", "predictable", or "in a thoughtful, clear-headed manner." Rational choice theory uses a much more narrow definition of rationality. At its most basic level, behavior is rational if it is reflective and consistent (across time and different choice situations). More specifically, behavior is only considered irrational if it is logically incoherent, i.e. self-contradictory.
Early neoclassical economists writing about rational choice, including William Stanley Jevons, assumed that agents make consumption choices so as to maximize their happiness, or utility. Contemporary theory bases rational choice on a set of choice axioms that need to be satisfied, and typically does not specify where the goal (preferences, desires) comes from. It mandates just a consistent ranking of the alternatives.$^{:501}$ Individuals choose the best action according to their personal preferences and the constraints facing them.

## Actions, assumptions, and individual preferences

Rational choice theory can be viewed in different contexts. At an individual level, the theory suggests that the agent will decide on the action (or outcome) they most prefer. If the actions (or outcomes) are evaluated in terms of costs and benefits, the choice with the maximum net benefit will be chosen by the rational individual. Rational behaviour is not solely driven by monetary gain, but can also be driven by emotional motives.
The theory can be applied to general settings outside of those identified by costs and benefits. In general, rational decision making entails choosing among all available alternatives the alternative that the individual most prefers. The "alternatives" can be a set of actions ("what to do?") or a set of objects ("what to choose/buy"). In the case of actions, what the individual really cares about are the outcomes that results from each possible action. Actions, in this case, are only an instrument for obtaining a particular outcome.

### Formal statement

The available alternatives are often expressed as a set of objects, for example a set of j exhaustive and exclusive actions:
    $A=\{a_{1},\ldots ,a_{i},\ldots ,a_{j}\}$
For example, if a person can choose to vote for either Roger or Sara or to abstain, their set of possible alternatives is:
    $A=\{{\text{Vote for Roger, Vote for Sara, Abstain}}\}$
The theory makes two technical assumptions about individuals' preferences over alternatives:
* Completeness – for any two alternatives a$_i$ and a$_j$ in the set, either a$_i$ is preferred to a$_j$, or a$_j$ is preferred to a$_i$, or the individual is indifferent between a$_i$ and a$_j$. In other words, all pairs of alternatives can be compared with each other.
* Transitivity – if alternative a$_1$ is preferred to a$_2$, and alternative a$_2$ is preferred to a$_3$, then a$_1$ is preferred to a$_3$.
Together these two assumptions imply that given a set of exhaustive and exclusive actions to choose from, an individual can rank the elements of this set in terms of his preferences in an internally consistent way (the ranking constitutes a total ordering, minus some assumptions), and the set has at least one maximal element.
The preference between two alternatives can be:
* Strict preference occurs when an individual prefers a$_1$ to a$_2$ and does not view them as equally preferred.
* Weak preference implies that individual either strictly prefers a$_1$ over a$_2$ or is indifferent between them.
* Indifference occurs when an individual neither prefers a$_1$ to a$_2$, nor a$_2$ to a$_1$. Since (by completeness) the individual does not refuse a comparison, they must therefore be indifferent in this case.
Research since the 1980s sought to develop models that weaken these assumptions and argue some cases of this behaviour can be considered rational. However, the Dutch book theorems show that this comes at a major cost of internal coherence, such that weakening any of the Von Neumann–Morgenstern axioms makes. The most severe consequences are associated with violating independence of irrelevant alternatives, and transitive preferences, or fully abandoning completeness rather than weakening it to "asymptotic" completeness.

## Utility maximization

Often preferences are described by their utility function or payoff function. This is an ordinal number that an individual assigns over the available actions, such as:
    $u\left(a_{i}\right)>u\left(a_{j}\right).$
The individual's preferences are then expressed as the relation between these ordinal assignments. For example, if an individual prefers the candidate Sara over Roger over abstaining, their preferences would have the relation:
    $u\left({\text{Sara}}\right)>u\left({\text{Roger}}\right)>u\left({\text{abstain}}\right).$
A preference relation that as above satisfies completeness, transitivity, and, in addition, continuity, can be equivalently represented by a utility function.

## Benefits

The rational choice approach allows preferences to be represented as real-valued utility functions. Economic decision making then becomes a problem of maximizing this utility function, subject to constraints (e.g. a budget). This has many advantages. It provides a compact theory that makes empirical predictions with a relatively sparse model – just a description of the agent's objectives and constraints. Furthermore, optimization theory is a well-developed field of mathematics. These two factors make rational choice models tractable compared to other approaches to choice. Most importantly, this approach is strikingly general. It has been used to analyze not only personal and household choices about traditional economic matters like consumption and savings, but also choices about education, marriage, child-bearing, migration, crime and so on, as well as business decisions about output, investment, hiring, entry, exit, etc. with varying degrees of success.
In the field of political science rational choice theory has been used to help predict human decision making and model for the future; therefore it is useful in creating effective public policy, and enables the government to develop solutions quickly and efficiently.
Despite the empirical shortcomings of rational choice theory, the flexibility and tractability of rational choice models (and the lack of equally powerful alternatives) lead to them still being widely used.

## Applications

Rational choice theory has become increasingly employed in social sciences other than economics, such as sociology, evolutionary theory and political science in recent decades. It has had far-reaching impacts on the study of political science, especially in fields like the study of interest groups, elections, behaviour in legislatures, coalitions, and bureaucracy. In these fields, the use of rational choice theory to explain broad social phenomena is the subject of controversy.

### Rational choice theory in political science

Rational choice theory provides a framework to explain why groups of rational individuals can come to collectively irrational decisions. For example, while at the individual level a group of people may have common interests, applying a rational choice framework to their individually rational preferences can explain group-level outcomes that fail to accomplish any one individual's preferred objectives. Rational choice theory provides a framework to describe outcomes like this as the product of rational agents performing their own cost–benefit analysis to maximize their self-interests, a process that doesn't always align with the group's preferences.

#### Rational choice in voting behavior

Voter behaviour shifts significantly thanks to rational theory, which is ingrained in human nature, the most significant of which occurs when there are times of economic trouble. An example in economic policy, economist Anthony Downs concluded that a high income voter ‘votes for whatever party he believes would provide him with the highest utility income from government action’, using rational choice theory to explain people's income as their justification for their preferred tax rate.
Downs' work provides a framework for analyzing tax-rate preference in a rational choice framework. He argues that an individual votes if it is in their rational interest to do so. Downs models this utility function as B + D > C, where B is the benefit of the voter winning, D is the satisfaction derived from voting and C is the cost of voting. It is from this that we can determine that parties have moved their policy outlook to be more centric in order to maximise the number of voters they have for support. It is from this very simple framework that more complex adjustments can be made to describe the success of politicians as an outcome of their ability or failure to satisfy the utility function of individual voters.

#### Rational choice theory in international relations

Rational choice theory has become one of the major tools used to study international relations. Proponents of its use in this field typically assume that states and the policies crafted at the national outcome are the outcome of self-interested, politically shrewd actors including, but not limited to, politicians, lobbyists, businesspeople, activists, regular voters and any other individual in the national audience. The use of rational choice theory as a framework to predict political behavior has led to a rich literature that describes the trajectory of policy to varying degrees of success. For example, some scholars have examined how states can make credible threats to deter other states from a (nuclear) attack. Others have explored under what conditions states wage war against each other. Yet others have investigated under what circumstances the threat and imposition of international economic sanctions tend to succeed and when they are likely to fail.

### Rational choice theory in social interactions

Rational choice theory and social exchange theory involves looking at all social relations in the form of costs and rewards, both tangible and non tangible.
According to Abell, Rational Choice Theory is "understanding individual actors... as acting, or more likely interacting, in a manner such that they can be deemed to be doing the best they can for themselves, given their objectives, resources, circumstances, as they seem them". Rational Choice Theory has been used to comprehend the complex social phenomena, of which derives from the actions and motivations of an individual. Individuals are often highly motivated by their wants and needs.
By making calculative decisions, it is considered as rational action. Individuals are often making calculative decisions in social situations by weighing out the pros and cons of an action taken towards a person. The decision to act on a rational decision is also dependent on the unforeseen benefits of the friendship. Homan mentions that actions of humans are motivated by punishment or rewards. This reinforcement through punishments or rewards determines the course of action taken by a person in a social situation as well. Individuals are motivated by mutual reinforcement and are also fundamentally motivated by the approval of others. Attaining the approval of others has been a generalized character, along with money, as a means of exchange in both Social and Economic exchanges. In Economic exchanges, it involves the exchange of goods or services. In Social exchange, it is the exchange of approval and certain other valued behaviors.
Rational Choice Theory in this instance, heavily emphasizes the individual's interest as a starting point for making social decisions. Despite differing view points about Rational choice theory, it all comes down to the individual as a basic unit of theory. Even though sharing, cooperation and cultural norms emerge, it all stems from an individual's initial concern about the self.
G.S Becker offers an example of how Rational choice can be applied to personal decisions, specifically regarding the rationale that goes behind decisions on whether to marry or divorce another individual. Due to the self-serving drive on which the theory of rational choice is derived, Becker concludes that people marry if the expected utility from such marriage exceeds the utility one would gain from remaining single, and in the same way couples would separate should the utility of being together be less than expected and provide less (economic) benefit than being separated would. Since the theory behind rational choice is that individuals will take the course of action that best serves their personal interests, when considering relationships it is still assumed that they will display such mentality due to deep-rooted, self-interested aspects of human nature.
Social Exchange and Rational Choice Theory both comes down to an individual's efforts to meet their own personal needs and interests through the choices they make. Even though some may be done sincerely for the welfare of others at that point of time, both theories point to the benefits received in return. These returns may be received immediately or in the future, be it tangible or not.
Coleman discussed a number of theories to elaborate on the premises and promises of rational choice theory. One of the concepts that He introduced was Trust. It is where "individuals place trust, in both judgement and performance of others, based on rational considerations of what is best, given the alternatives they confront". In a social situation, there has to be a level of trust among the individuals. He noted that this level of trust is a consideration that an individual takes into concern before deciding on a rational action towards another individual. It affects the social situation as one navigates the risks and benefits of an action. By assessing the possible outcomes or alternatives to an action for another individual, the person is making a calculated decision. In another situation such as making a bet, you are calculating the possible lost and how much can be won. If the chances of winning exceeds the cost of losing, the rational decision would be to place the bet. Therefore, the decision to place trust in another individual involves the same rational calculations that are involved in the decision of making a bet.
Even though rational theory is used in Economics and Social settings, there are some similarities and differences. The concept of reward and reinforcement is parallel to each other while the concept of cost is also parallel to the concept of punishment. However, there is a difference of underlying assumptions in both contexts. In a social setting, the focus is often on the current or past reinforcements, with no guarantee of immediate tangible or intangible returns from another individual in the future. In Economics, decisions are made with heavier emphasis on future rewards.
Despite having both perspectives differ in focus, they primarily reflect on how individuals make different rational decisions when given an immediate or long-term circumstances to consider in their rational decision making.

## Criticism

Both the assumptions and the behavioral predictions of rational choice theory have sparked criticism from various camps.

### The limits of rationality

As mentioned above, some economists have developed models of bounded rationality, such as Herbert Simon, which hope to be more psychologically plausible without completely abandoning the idea that reason underlies decision-making processes. Simon argues factors such as imperfect information, uncertainty and time constraints all affect and limit our rationality, and therefore our decision-making skills. Furthermore, his concepts of 'satisficing' and 'optimizing' suggest sometimes because of these factors, we settle for a decision which is good enough, rather than the best decision. Other economists have developed more theories of human decision-making that allow for the roles of uncertainty, institutions, and determination of individual tastes by their socioeconomic environment (cf. Fernandez-Huerga, 2008).

### Philosophical critiques

Martin Hollis and Edward J. Nell's 1975 book offers both a philosophical critique of neo-classical economics and an innovation in the field of economic methodology. Further, they outlined an alternative vision to neo-classicism based on a rationalist theory of knowledge. Within neo-classicism, the authors addressed consumer behaviour (in the form of indifference curves and simple versions of revealed preference theory) and marginalist producer behaviour in both product and factor markets. Both are based on rational optimizing behaviour. They consider imperfect as well as perfect markets since neo-classical thinking embraces many market varieties and disposes of a whole system for their classification. However, the authors believe that the issues arising from basic maximizing models have extensive implications for econometric methodology (Hollis and Nell, 1975, p. 2). In particular it is this class of models – rational behavior as maximizing behaviour – which provide support for specification and identification. And this, they argue, is where the flaw is to be found. Hollis and Nell (1975) argued that positivism (broadly conceived) has provided neo-classicism with important support, which they then show to be unfounded. They base their critique of neo-classicism not only on their critique of positivism but also on the alternative they propose, rationalism. Indeed, they argue that rationality is central to neo-classical economics – as rational choice – and that this conception of rationality is misused. Demands are made of it that it cannot fulfill. Ultimately, individuals do not always act rationally or conduct themselves in a utility maximising manner.
Duncan K. Foley (2003, p. 1) has also provided an important criticism of the concept of rationality and its role in economics. He argued that
   “Rationality” has played a central role in shaping and establishing the hegemony of contemporary mainstream economics. As the specific claims of robust neoclassicism fade into the history of economic thought, an orientation toward situating explanations of economic phenomena in relation to rationality has increasingly become the touchstone by which mainstream economists identify themselves and recognize each other. This is not so much a question of adherence to any particular conception of rationality, but of taking rationality of individual behavior as the unquestioned starting point of economic analysis.
Foley (2003, p. 9) went on to argue that
   The concept of rationality, to use Hegelian language, represents the relations of modern capitalist society one-sidedly. The burden of rational-actor theory is the assertion that ‘naturally’ constituted individuals facing existential conflicts over scarce resources would rationally impose on themselves the institutional structures of modern capitalist society, or something approximating them. But this way of looking at matters systematically neglects the ways in which modern capitalist society and its social relations in fact constitute the ‘rational’, calculating individual. The well-known limitations of rational-actor theory, its static quality, its logical antinomies, its vulnerability to arguments of infinite regress, its failure to develop a progressive concrete research program, can all be traced to this starting-point.
More recently Edward J. Nell and Karim Errouaki (2011, Ch. 1) argued that:
   The DNA of neoclassical economics is defective. Neither the induction problem nor the problems of methodological individualism can be solved within the framework of neoclassical assumptions. The neoclassical approach is to call on rational economic man to solve both. Economic relationships that reflect rational choice should be ‘projectible’. But that attributes a deductive power to ‘rational’ that it cannot have consistently with positivist (or even pragmatist) assumptions (which require deductions to be simply analytic). To make rational calculations projectible, the agents may be assumed to have idealized abilities, especially foresight; but then the induction problem is out of reach because the agents of the world do not resemble those of the model. The agents of the model can be abstract, but they cannot be endowed with powers actual agents could not have. This also undermines methodological individualism; if behaviour cannot be reliably predicted on the basis of the ‘rational choices of agents’, a social order cannot reliably follow from the choices of agents.

### Psychological critiques

The validity of Rational Choice Theory has been generally refuted by the results of research in behavioral psychology. The revision or alternative theory that arises from these discrepancies is called Prospect Theory.
The 'doubly-divergent' critique of Rational Choice Theory implicit in Prospect Theory has sometimes been presented as a revision or alternative. Daniel Kahneman's work has been notably elaborated by research undertaken and supervised by Jonathan Haidt and other scholars.

### Empirical critiques

In their 1994 work, Pathologies of Rational Choice Theory, Donald P. Green and Ian Shapiro argue that the empirical outputs of rational choice theory have been limited. They contend that much of the applicable literature, at least in political science, was done with weak statistical methods and that when corrected many of the empirical outcomes no longer hold. When taken in this perspective, rational choice theory has provided very little to the overall understanding of political interaction – and is an amount certainly disproportionately weak relative to its appearance in the literature. Yet, they concede that cutting-edge research, by scholars well-versed in the general scholarship of their fields (such as work on the U.S. Congress by Keith Krehbiel, Gary Cox, and Mat McCubbins) has generated valuable scientific progress.

### Methodological critiques

Schram and Caterino (2006) contains a fundamental methodological criticism of rational choice theory for promoting the view that the natural science model is the only appropriate methodology in social science and that political science should follow this model, with its emphasis on quantification and mathematization. Schram and Caterino argue instead for methodological pluralism. The same argument is made by William E. Connolly, who in his work Neuropoliticsshows that advances in neuroscience further illuminate some of the problematic practices of rational choice theory.

### Sociological critiques

Pierre Bourdieu fiercely opposed rational choice theory as grounded in a misunderstanding of how social agents operate. Bourdieu argued that social agents do not continuously calculate according to explicit rational and economic criteria. According to Bourdieu, social agents operate according to an implicit practical logic – a practical sense – and bodily dispositions. Social agents act according to their "feel for the game" (the "feel" being, roughly, habitus, and the "game" being the field).
Other social scientists, inspired in part by Bourdieu's thinking have expressed concern about the inappropriate use of economic metaphors in other contexts, suggesting that this may have political implications. The argument they make is that by treating everything as a kind of "economy" they make a particular vision of the way an economy works seem more natural. Thus, they suggest, rational choice is as much ideological as it is scientific.

#### Criticism based on motivational assumptions

Rational choice theorists discuss individual values and structural elements as equally important determinants of outcomes. However, for methodological reasons in the empirical application, more emphasis is usually placed on social structural determinants. Therefore, in line with structural functionalism and social network analysis perspectives, rational choice explanations are considered mainstream in sociology .

#### Criticism based on the assumption of realism

Some of the scepticism among sociologists regarding rational choice stems from a misunderstanding of the lack of realist assumptions. Social research has shown that social agents usually act solely based on habit or impulse, the power of emotion. Social Agents predict the expected consequences of options in stock markets and economic crises and choose the best option through collective "emotional drives," implying social forces rather than "rational" choices.
However, sociology commonly misunderstands rational choice in its critique of rational choice theory. Rational choice theory does not explain what rational people would do in a given situation, which falls under decision theory. Theoretical choice focuses on social outcomes rather than individual outcomes. Social outcomes are identified as stable equilibria in which individuals have no incentive to deviate from their course of action. This orientation of others' behaviour toward social outcomes may be unintended or undesirable. Therefore, the conclusions generated in such cases are relegated to the "study of irrational behaviour".

### Criticism based on the biopolitical paradigm

The basic assumptions of rational choice theory do not take into account external factors (social, cultural, economic) that interfere with autonomous decision-making. Representatives of the biopolitical paradigm such as Michel Foucault drew attention to the micro-power structures that shape the soul, body and mind and thus top-down impose certain decisions on individuals. Humans – according to the assumptions of the biopolitical paradigm – therefore conform to dominant social and cultural systems rather than to their own subjectively defined goals, which they would seek to achieve through rational and optimal decisions.
Jakub Chustecki pointed out, however, that the assumptions of the two paradigms need not contradict each other. In modern society, following micropower scripts brings certain social and economic benefits, and therefore, from the perspective of rational choice theory, fulfilling them can be interpreted as optimal and rational:
   Assuming that the individual has adequately adapted to the rules of the social system in question – rationality will mean carrying out the dispositions of biopower. If [...] the common denominator of both paradigms is the punishment-reward axis, then adapting to the system will mean maximising gains and minimising losses, and will therefore be the most rational action

### Critiques on the basis of evolutionary psychology

An evolutionary psychology perspective suggests that many of the seeming contradictions and biases regarding rational choice can be explained as being rational in the context of maximizing biological fitness in the ancestral environment but not necessarily in the current one. Thus, when living at subsistence level where a reduction of resources may have meant death it may have been rational to place a greater value on losses than on gains. Proponents argue it may also explain differences between groups.

### Critiques on the basis of emotion research

Proponents of emotional choice theory criticize the rational choice paradigm by drawing on new findings from emotion research in psychology and neuroscience. They point out that rational choice theory is generally based on the assumption that decision-making is a conscious and reflective process based on thoughts and beliefs. It presumes that people decide on the basis of calculation and deliberation. However, cumulative research in neuroscience suggests that only a small part of the brain's activities operate at the level of conscious reflection. The vast majority of its activities consist of unconscious appraisals and emotions. The significance of emotions in decision-making has generally been ignored by rational choice theory, according to these critics. Moreover, emotional choice theorists contend that the rational choice paradigm has difficulty incorporating emotions into its models, because it cannot account for the social nature of emotions. Even though emotions are felt by individuals, psychologists and sociologists have shown that emotions cannot be isolated from the social environment in which they arise. Emotions are inextricably intertwined with people's social norms and identities, which are typically outside the scope of standard rational choice models. Emotional choice theory seeks to capture not only the social but also the physiological and dynamic character of emotions. It represents a unitary action model to organize, explain, and predict the ways in which emotions shape decision-making.

### The difference between public and private spheres

Herbert Gintis has also provided an important criticism to rational choice theory. He argued that rationality differs between the public and private spheres. The public sphere being what you do in collective action and the private sphere being what you do in your private life. Gintis argues that this is because “models of rational choice in the private sphere treat agents’ choices as instrumental”. “Behaviour in the public sphere, by contrast, is largely non-instrumental because it is non-consequential". Individuals make no difference to the outcome, “much as single molecules make no difference to the properties of the gas"(Herbert, G). This is a weakness of rational choice theory as it shows that in situations such as voting in an election, the rational decision for the individual would be to not vote as their vote makes no difference to the outcome of the election. However, if everyone were to act in this way the democratic society would collapse as no one would vote. Therefore, we can see that rational choice theory does not describe how everything in the economic and political world works, and that there are other factors of human behaviour at play.