What is it about?
The question as to the relationship that ought to subsist between an agent's effort and the very same agent's ability goes back, at the very least, to Holmström (1982). In stated respect, whereas Fama (1980) articulates the benchmark, namely that ideally an agent's effort equilibrates with the agent's 'ability', in Holmström (1982), there exists the feasibility that effort undershoots ability, regardless simultaneously said effort seemed to be rational. The caveat? Holmström (1982) was unable to ascertain the conditions under which an effort that undershoots an agent's ability could be deemed to be a rational event. Whereas said quandary has subsisted hitherto, my newly published study, in SN Business & Economics is the very first study to attempt and to succeed at inferring the dichotomous conditions under which either effort that equilibrates with, or effort that undershoots an agent's ability can be deemed to be rational events.
Featured Image
Photo by Element5 Digital on Unsplash
Why is it important?
It is unequivocal that effort is an existential property of man, especially rational man. In stated respect, consider that whereas the neoclassical characterization of a rational man is mathematically, as opposed to behaviorally specified, regardless the characterization, which asserts that rational man engages with first-order maximization, posits that rationality is evident in some specific effort, namely first-order maximization. The non-robustness of the neoclassical characterization of rational man is evident in the realization that a property of humankind ought not to require a High School diploma to be either understood, adopted, or implemented. Assenting, in Samuelson (1952), the 1970 Nobel Prize winner, Paul Samuelson joked that with a PhD in Economics in tow and with focus on engagement with pragmatic day-to-day living, himself was unsure as to the sophistry with which he could implement Neoclassical theory's characterization of a rational man. Rather more robustly, Obrimah (2022), which proffers the sole mathematically derived (the path or process), yet behavioral (the outcome) parameterization of not just a rational man, but a rational socioeconomic man, infers that a rational agent is non-satiated with respect to the sorts of efforts that feasibly unravel his/her unawareness'; further, said rational agent premises each and every choice on the aggregate stock of his/her awareness'. Yet again, but more robustly the enumerated parameterization asserts effort is native to any and all engagements with rational choice. In presence of the nativeness of effort to any and all engagements with rational choice, yet the feasibility of a property that has connotation as an agent's ability - a property that rather possibly serves as a reference parameter for effort - there is arrival at the importance of both a proper understanding of effort and the relationship that ideally ought to subsist between effort and ability. My new publication in SN Business & Economics furnishes formal theoretically derived answers to the two interrelated questions. First, my publication's formal theoretical model shows ability is scientifically and robustly formulated only whenever it has parameterization, explicitly as 'an agent's capacity for effort', equivalently as an agent's, 'Effort Capacity'. The contextual interpretation of the term, 'capacity' is, of course already rooted in language, namely that with some enumerated objective as the reference parameter, it connotes the quality of an agent's energy. An illustration is perhaps helpful; consider then as follows. Whereas a medical doctor's (surgeon's) effort capacity in relation to a medical surgery ought to be optimal, it is unequivocal that with the very same medical surgery as the reference parameter, an engineer's effort capacity ought to be sub-optimal. Whereas then a medical doctor's effort ought to equilibrate with the effort capacity that is required for a medical surgery, contrarily it ought to be anticipated that an engineer's effort falls short of the requisite capacity. Consider, however, the following rational equivalence, namely that with their anticipated performance in the very same medical surgery as the reference parameter, that a medical doctor and an engineer ought to be equally happy. The rationale is straightforward, namely that with the engineer having an awareness of his/her deficiency of preparation, he/she faults society, not himself/herself, as such, views his/her anticipated suboptimal performance with satisfaction. Conversely, yet equivalently, the medical doctor's anticipation of a successful surgery, which is predicated on the relevance of his/her preparation, ensures the medical doctor also views his/her anticipated performance with satisfaction. In aggregate, there is arrival at a validation of the origin insight in Holmström (1982) that feasibly either an effort that equilibrates with an exogenously formulated effort capacity (that is, ability) or an effort that undershoots the very same effort capacity can be rational. In stated respect, since effort capacity is measured at the commencement of a period, with all effort choice transpiring within-period, always, for the same agent, effort choice is exogenous to effort capacity. The enumerated inference is obtained in the context of the formulation, for the very first time, of a Fixed Point Theorem (FPT) which is customized to the sorts of effort-related questions that emerge in either Economics or Finance. The governing conditions that are embedded in the FPT? Whenever a current state of the world deviates from a robustly specified benchmark state, such that the conditions that govern choice can be shown to be suboptimal, a rational agent either acts rationally to choose effort that is less than his/her effort capacity, or whenever possible formulates a rational expectation that the existing sub-optimality will be corrected in a future period, as such, chooses effort that coincides with his/her effort capacity. If the future period turns out to be an optimal state, an effort choice that undershoots the agent's effort capacity does not materialize. Conversely, if the future period turns out to be a suboptimal state - under the following assumption, namely that there exist either frictions or imperfections that hamper the agent's preferred option, namely a disengagement from the project in question - the agent engages with an effort choice that undershoots his/her effort capacity, as such, redirects some of his/her effort capacity towards alternate engagements. In aggregate, my new publication infers that effort, which is restricted to be qualitatively, as opposed to quantitatively specified, is robustly parameterized and measurable only whenever there exists some exogenously derived reference effort capacity that bounds effort choice. The exclusion of any effort that are quantitatively specified is straightforwardly evident in the following realization, namely that if effort is quantitative, allowing for time to be unbounded, there is arrival at the impossibility of any suboptimal effort capacity. In stated respect, in the preceding illustration, with a medical surgery as the reference parameter, were effort to be quantitatively specified, there exists some time period long enough, such that an engineer's effort matches up to that a medical doctor; the rationale, of course, as to why exams are timed, namely that with the quantity of time restricted to be identical, it is the quality of the exam takers' efforts that spans different scores on the exam. Related to the foregoing, absent the application of some component of an aggregate effort choice towards the spanning of an increase to the capacity for effort, a rational agent is unable to increase his/her effort. Addressing the snafu, the formal theory infers an intertemporally specified analogue of the cross-sectional finding that, always effort is bounded by effort capacity. The intertemporally specified FPT shows effort capacity feasibly increases only if, every period, aggregate effort consists of two components, namely 'output effort' and 'capacity-building effort'. However, the enumerated necessary condition does not double as a sufficient condition. In stated respect, if either the output or the capacity-building effort does not embed 'Learning Whilst Doing' (LWD), equivalently if agents are not incentivized to engage with LWD in the conduct of all of their activities, the probability that either the output or the capacity-building effort span an increase to effort capacity is attenuated. Further, if agents are not incentivized - via the equality of the distributions for the wages that accrue to either the output or the capacity-building effort - to be indifferent to either effort type, such that the choice between either effort type is solely premised on agents' subjective preferences and proficiencies, as opposed to the anticipated monetary compensation, the progression of a socioeconomy falls short of a first-best progression. The rationale is straightforward, namely with agents deviating from their preferences and proficiencies, there is arrival at the impossibility of an optimal allocation of labor, the impossibility, as such, of a first-best progression to either output or effort capacity.
Perspectives
Using the formal theory, I infer a refinement to language, that is, arrive at a philosophical proposition which refines both descriptions of rational behavior and the terminology of any of, effort, learning, innovation, or economic development. In stated respect, I demonstrate that the concept of, 'Learning Whilst Doing' Pareto dominates the alternate concept (see for example, Dasgupta and Stiglitz 1988), which has statement as, 'Learning by Doing (LbD)'. The rationalizing mathematical evidence is straightforward, namely that in every feasible state of the world, agents' effort and their effort capacity are better (equivalently higher) under LWD than under LbD. The supporting economic intuition is also straightforward, namely that the notion that we commence a new project with a null (zero) stock of relevant awareness' is Pareto dominated by the alternate more robust notion that, always, we possess some relevant stock of awareness' at the commencement of any new project, a stock that then is built up as a project progresses. Whereas then it might seem, on the face of things, that the term, LbD is as good as LWD, as such, a presumption that the difference reduces to mere semantics, my publication's formal theory shows the difference has existential meaning, that is, impacts agents' attitudes, behaviors, and socioeconomic outcomes. An important implication then for agents' attitudes and behaviors? Since the outcomes of an agent's efforts always are self evident, a resort to the measurement of 'Intelligence Quotients', that is, IQ tests, is predicted to be vacuous, that is, non-meaningful. The empirical evidence in respect of the predictive power and the robustness of IQ tests concur. In stated respect, IQ tests have been shown not to be predictive of brilliance in the future. Further, IQ tests exhibit properties that are non-robust to the properties that any robustly formulated test of intelligence ought to pass. For more, see the book, 'Meritocracy and Economic Inequality', Arrow, Bowles, and Durlauf (eds.), by Princeton University Press.
Dr Oghenovo A Obrimah
Fisk University
Read the Original
This page is a summary of: Modeling of ability, effort, and now, ‘effort capacity’: a candidate general equilibrium structure, SN Business & Economics, February 2026, Springer Science + Business Media,
DOI: 10.1007/s43546-026-01074-z.
You can read the full text:
Resources
Link to Obrimah (2026)
The link to my new publication.
All Rational Living Natively Spans a Martingale Process, not a Linear Process
A complementary discussion of my new publication focusing on its findings on the evolution of the choices of rational agents
Preprint version of the described study, Obrimah (2026)
Preprint version of the described study, Obrimah (2026)
Contributors
The following have contributed to this page







