a multiplicative model of optimal ceo incentives in market equilibrium this paper presents a unified theory of both the level and sensitivity of pay in competitive market equilibrium by embedding a moral hazard problem into a talent assignment model by considering multiplicative specifications for the ceo s utility and production functions we generate a number of different results from traditional additive models first both the ceo s low fractional ownership the jensen murphy incentives measure and its negative relationship with firm size can be quantitatively reconciled with optimal contracting and thus need not reflect rent extraction second the dollar change in wealth for a percentage change in firm value divided by annual pay is independent of firm size and therefore a desirable empirical measure of incentives third incentive pay is effective at solving agency problems with multiplicative impacts on firm value such as strategy choice however additive issues such as perk consumption are best addressed through direct monitoring jel d2 d3 g34 j3

managerial bargaining power in the determination of compensation contracts and corporate investment this paper considers the design of managerial compensation contracts and their impact on corporate investment decisions and the managerial effort decision the model relates the compensation scheme to outside share ownership and managerial bargaining position using the methods of mechanism design under asymmetric information a shift in favor of effort is documented in the case where managerial bargaining strength is weak while a shift toward more use of capital investment results from strong managerial bargaining power the model distinguishes managerial equity holdings from contingent compensation contracts our results are related to the empirical literature on pay performance sensitivities

employment bonuses and labor turnover the purpose of this paper is to illustrate how a two part compensation system composed of a rigid base salary and a flexible bonus can reduce turnover it is shown that bonus pay is an effective retention device if it is risk reducing and is correlated with outside contract offers for the first time to the best of our knowledge a model of bonus payments is tested with u s instead of japanese data the empirical results are suggestive of the conditions that give bonuses an important even dominant role in worker retention

does the form of compensation matter abstract the role of fee contracts in the agency relation between investment bankers and client firms in tender offers is investigated using a sample of offers between 1978 and 1986 different fees have different payoff functions which can be used by firms to create incentives and by bankers to signal differences in abilities the effectiveness of fee contracts in resolving agency problems in tested with mixed results the evidence suggests that fee contracts are used as a tool by both firms and bankers and that contracts influence tender offer outcomes but that contracting is only a partial solution to the agency problem

strategy subsets closed under rational behavior a set of strategy profiles is here said to be closed under rational behavior curb of it contains all its best replies each curb set contains the support of at least one nash equilibrium in mixed

on the relative performance of linear vs piecewise linear threshold intertemporal incentives this paper employs numerical simulations to compare the relative performance of linear contracts with piecewise linear threshold contracts in the case where the agent chooses actions over time these contracts are restricted to be functions of the ending value of aggregate output we find strong evidence that only linear contracts need be considered in comparison with piecewise linear threshold contracts in the situation where cumulative output is only updated periodically and the agent s utility function is exponential this finding holds even when there are only two periods and hence one change of action by the agent however we find that the best piecewise linear threshold contract is significantly superior to the best linear contract when the agent has a power utility function these numerical simulations also call into question the use of a cap when the agent s compensation is based on the ending value of aggregate output and the agent s effort takes place over time

learning in games abstract this essay discusses some recent work on learning in games we explore non equilibrium theories in which equilibrium emerges as the long run outcome of a dynamic process of adjustment or learning we focus on individual level models and more specifically on variants of fictitious play in two player games we discuss both the theoretical properties of the models and their relationship to regularities observed in game theory experiments

evolution rationality and equilibrium in games abstract evolutionary game theory studies the robustness of strategy profiles and sets of strategy profiles with respect to evolutionary forces in games played repeatedly in large populations of boundedly rational agents the approach is macro oriented in the sense of focusing on the strategy distribution in the interacting population s some of the main features of this approach are here outlined and connections with learning models and standard notions of game theoretic rationality and equilibrium are discussed some desiderata and results for robust long run predictions are considered

uncertainty risk and incentives theory and evidence uncertainty has qualitatively different implications than risk in studying executive incentives we study the interplay between profitability uncertainty and moral hazard where profitability is multiplicative with managerial effort investors who face greater uncertainty desire faster learning and consequently offer higher managerial incentives to induce higher effort from the manager in contrast to the standard negative risk incentive trade off this learning by doing effect generates a positive relation between profitability uncertainty and incentives we document empirical support for this prediction this paper was accepted by wei jiang finance

the bayesian foundations of solution concepts of games abstract we transform a noncooperative game into a bayesian decision problem for each player where the uncertainty faced by a player is the strategy choices of the other players the priors of other players on the choice of other players the priors over priors and so on we provide a complete characterization between the extent of knowledge about the rationality of players and their ability to successively eliminate strategies which are not best responses this paper therefore provides the informational foundations of iteratively undominated strategies and rationalizable strategic behavior b d bernheim econometrica 52 1984 1007 1028 d pearce econometrica 52 1984 1029 1050 sufficient conditions are also found for nash equilibrium behavior and a result akin to r j aumann econometrica 55 1987 1 18 on correlated equilibria is derived with different hypotheses

top executive rewards and firm performance a comparison of japan and the united states this paper studies top executive turnover and compensation and their relation to firm performance in the largest japanese and u s companies japanese executive turnover and compensation are related to earnings stock returns and to a lesser extent sales performance measures the fortunes of japanese top executives therefore are positively correlated with stock performance and current cash flows or with factors contributing to such performance the relations for the japanese executives are generally economically and statistically similar to those for their u s counterparts there is some evidence however that the fortunes of japanese executives are more sensitive to low income but less sensitive to stock returns than those of u s executives

a theory of wage dynamics a dynamic equilibrium model of long term implicit labour contracts under incomplete but symmetric information is developed workers are assumed to be risk averse and of unknown ability or productivity risk neutral firms learn as do workers about each worker s productivity by observing the worker s output over time it is shown that equilibrium contracts provide for wages which never decline with age and increase only when the worker s market value increases above his current wage in addition to characterizing the equilibrium wage contract we also derive some of its implications for the behaviour of aggregate wages across various groups of workers these implications explain some findings in the recent empirical literature on ageearnings profiles in particular our model can explain why earnings may be positively related to experience even after controlling for productivity as some empirical studies have indicated

information asymmetry and equilibrium monitoring in education abstract we develop a theoretical and computational model of school choice and achievement that embeds information asymmetries in the provision of education because school effort is unobservable to households and policymakers schools have an incentive to under provide effort this moral hazard affects both public and private schools although public schools are subject to an additional distortion because of limited competition and fixed funding household monitoring of schools can mitigate moral hazard but some households may free ride on the monitoring of others using our calibrated model we simulate two policies aimed at raising achievement public monitoring of public schools and private school vouchers our results indicate that in large scale settings no single tool may suffice the reason is twofold a no tool raises achievement or welfare for all households and b since the extent of moral hazard is endogenous the application of each tool has unintended consequences that limit its own effectiveness results also indicate that setting the policy parameters for public schools at the levels preferred by the majority of households may mitigate the distortions nonetheless the current actual values of these parameters seem to match more closely the preferences of public schools than the preferences of parents

optimal managerial contracts and equilibrium security prices recent developments in economic theory have focused attention on efficient methods for providing incentives within a corporation especially to top management jensen meckling 12 have examined some implications of incentive or agency problems for corporate finance in this paper we combine a simple model of security market equilibrium with that of an optimal managerial incentive contract using results of harris raviv 8 and holmstrom 9 we provide a rationale for including security prices in the managerial incentive contracts of publicly held firms in this model we also show that non systematic diversifiable risks will be considered in the capital budgeting decisions of a managerial firm operated in the interests of its stockholders this is in contrast to the implication of the arbitrage pricing theory a similar result follows from the capital asset pricing model which abstracts from incentive problems and suggests that only systematic risks ought to be considered the optimal contract model of the corporation takes the following view of the firm since decision makers within a firm are not sole owners of the business but employed agents the decisions which they make depend on the incentives which the organization provides these incentives are embodied explicitly in employment contracts and implicitly through the threat of dismissal or effect on reputation the contract whether explicit or not describes the decision maker s anticipation of the consequences to him conditional on various observable outcomes these outcomes are used to provide information useful in determining whether he did his job properly in the simplest optimal contract scenario there is a single principal and a single agent whose decision concerns the level of effort he expends the level of effort affects the level of output of the firm but not unambiguously because the output is also governed by other stochastic elements as a result some information about the agent s level of effort can be inferred

wealth and executive compensation using new data on the wealth of swedish ceos i show that higher wealth ceos receive stronger incentives since high wealth excluding own firm holdings implies low absolute risk aversion this is consistent with a risk aversion explanation to examine whether wealth is likely to proxy for power i use lagged wealth typically measured before the ceo was hired and the results remain for one of two incentive measures also the wealth incentive result is not stronger for ceos likely to face limited owner oversight finally wealth is unrelated to pay levels and is hence unlikely to proxy for skill the compensation of chief executives of large listed companies is often largely in the form of risky instruments such as shares and options since share prices are affected by many factors outside management control this exposes ceos to risk according to standard agency theory the risk inherent in incentive compensation should reduce optimal incentives looking across firms the evidence that volatile stock prices reduce incentives in actual compensation has been mixed see e g aggarwal and samwick 1999 core and guay 2001 and prendergast 2002 for different views the importance of risk for incentives is thus in dispute 1 this paper takes another look at ceo incentives exploiting variation in risk aversion rather than risk decreasing absolute risk aversion implies that a wealthy ceo is less risk averse than a similar same coefficient of relative risk aversion but less wealthy ceo wealth should therefore proxy for risk aversion wealth may also be related to ceo skill and power obviously using wealth variation empirically hinges on having adequate data on individual wealth i use swedish tax filings to construct a proxy of wealth in sweden tax authorities provide data on aggregate yearly income

managerial reputation and divisional sell offs a model and empirical test abstract this paper presents a reputation model of divestiture activity that yields a sharp cross sectional implication for event studies of sell off announcements a decision to divest a division that is known to be successful conveys good news about the division in contrast a decision to divest a division that is known for underperformance conveys no news about the division we test these hypotheses on a sample of sell off announcements for which we find stories in the wall street journal unambiguously characterizing the division being sold as either a winner or a loser the stock price reaction to the sell off of losers is indistinguishable from zero while the stock price reaction to the sell off of winners is a statistically significant 2 5 these results are strengthened when we expand the sample to include divisions whose profitability was announced in the company s annual report for this expanded sample the average stock price reaction to the announcements of sell offs of losers remains indistinguishable from zero while returns from the sell offs of winners average a highly significant 3 4

evolutionary consumers imply monopolies exit we address the question of how a monopolist should price when facing evolutionary consumers who gradually move in the direction of following their optimal strategy but may make temporary suboptimal choices we show that under a broad generalization of the most commonly used model of evolution the monopolist will set a path of prices such that all consumers eventually stop purchasing the monopolist s product

the provision of incentives in firms i ncentives are the essence of economics despite many wide ranging claims about their supposed importance there has been little empirical assessment of incentive provision for workers the purpose of this paper is to critically overview existing work on the provision of incentives since the interests of workers and their employers are not always aligned a large theoretical literature has emphasized how firms design compensation contracts to induce employees to operate in the firm s interest this literature has reached into many areas of compensation and has pointed to a multitude of different mechanisms that can be used to induce workers to act in the interests of their employers these include piece rates options discretionary bonuses promotions profit sharing efficiency wages deferred compensation and so on my objective here is to evaluate this literature in the light of a growing empirical literature on compensation where possible i will address the literature from two perspectives first an underlying assumption of this literature is that individuals respond to contracts that reward performance accordingly i consider whether agents behave in this way and whether these responses are always in the firm s interest second i address whether firms write contracts with these responses in mind in other words do contracts look like the predictions of the theory incentives are provided to workers

the other side of the trade off the impact of risk on executive compensation the principal agent model of executive compensation is of central importance to the modern theory of the firm and corporate governance yet the exiting empirical evidence supporting it is quite wea

market valuation of employee stock options this study investigates whether investors incorporate the value of a firm s outstanding employee stock options into its stock price i estimate the outstanding options value for a sample of firms for which outstanding fixed options exceed 5 of outstanding common shares in 1988 i find a negative correlation between the value of outstanding options and a firm s share price the correlation is stronger i for the option s intrinsic value than for the option s time value ii for options that are later in their vesting stage than earlier in their vesting stage and iii for large firms than for small firms in addition the fasb s method for calculating compensation expense has no explanatory power in the presence of this paper s calculation of the options value

the tenuous trade off between risk and incentives empirical work testing for a negative trade off between risk and incentives has not had much success the data suggest a positive relationship between measures of uncertainty and incentives rather than the posited negative trade off i argue that the existing literature fails to account for an important effect of uncertainty on incentives through the allocation of responsibility to employees when workers operate in certain settings firms are content to assign tasks to workers and monitor their inputs by contrast when the situation is more uncertain they delegate responsibility to workers but to constrain their discretion base compensation on observed output

competition in public service provision the role of not for profit providers abstract with public services such as health and education it is not straightforward for consumers to assess the quality of provision many such services are provided by monopoly not for profit providers and there is concern that for profit providers may increase profit at the expense of quality this paper explores the implications of entry by for profit providers when there is unobserved quality the model generates three key policy relevant insights first by developing a novel approach to competition between different organizational forms it frames the relevant trade offs precisely second it shows the value of keeping an incumbent not for profit as an active provider third it characterizes the optimal payment or voucher value to an entrant for each consumer who switches in a way that can be applied empirically

are ceos really paid like bureaucrats a common view is that there is little correlation between firm performance and ceo pay using a new fifteen year panel data set of ceos in the largest publicly traded u s companies we document a strong relationship between firm performance and ceo compensation this relationship is generated almost entirely by changes in the value of ceo holdings of stock and stock options in addition we show that both the level of ceo compensation and the sensitivity of compensation to firm performance have risen dramatically since 1980 largely because of increases in stock option grants

corporate performance and managerial remuneration an empirical analysis abstract economic theories of efficient compensation predict a positive relationship between executive pay and corporate performance and yet efforts to document this relationship have been largely unsuccessful in this paper we argue that previous cross sectional studies have omitted important variables which seriously bias their results using data that focus on individual executives over time we find that executive compensation is strongly positively related to corporate performance as measured by shareholder return and growth in firm sales the results are robust to the stock market performance measure utilized

equilibrium warrant pricing models and accounting for executive stock options under apb opinion no 25 compensation expense arising from executive stock options consists of the excess of the market value of the stock over the exercise price of the options on their grant dates if the exercise price equals the market value of the stock on the grant date which is typically the case no compensation expense is recognized this accounting treatment has been frequently criticized for its bias toward underestimating the cost of an option to the issuing firm and a number of alternative valuation models have been suggested in the accounting literature by and large these valuation models have been borrowed from the finance literature where they were developed to explain the pricing of warrants and traded options the purpose of this paper is to assess empirically how well two of these valuation models perform in providing estimates of the value of traded securities warrants that are similar in many respects to executive stock options 2 this evidence should help calibrate the magnitude of the errors

risk aversion performance pay and the principal agent problem this paper calculates numerical solutions to the principal agent problem and compares the results to the stylized facts of ceo compensation the numerical predictions come from parameterizing the models of grossman and hart and of holmstrom and milgrom while the correct incentives for a ceo can greatly enhance a firm s performance providing such incentives need not be expensive for many parameter values ceo compensation need increase only by about 10 for every 1 000 of additional shareholder value for some values the amount is 0 003 cents

lower salaries and no options on the optimal structure of executive pay we estimate a standard principal agent model with constant relative risk aversion and lognormal stock prices for a sample of 598 us ceos the model is widely used in the compensation literature but it predicts that almost all of the ceos in our sample should hold no stock options instead ceos should have lower base salaries and receive additional shares in their companies for a typical value of relative risk aversion almost half of the ceos in our sample would be required to purchase additional stock in their companies from their private savings the model predicts contracts that would reduce average compensation costs by 20 while providing the same incentives and the same utility to ceos we investigate a number of extensions and modi cations of the standard model but nd none of them to be satisfactory we conclude that the standard principal agent model typically used in the literature cannot rationalize observed contracts one reason may be that executive pay contracts are suboptimal

individual learning and social rationality abstract classical game theory assumes that players have a coherent model of the game in which they are engaged that they make optimum plans assuming that everyone else makes optimum plans and that all of this is common knowledge evolutionary game theory postulates instead that players have limited understanding of their environment only modest reasoning ability and no common knowledge surprisingly a fair amount of classical solution theory survives with this change of perspective we show how high rationality solutions can emerge in low rationality environments provided the evolutionary process has sufficient time to unfold

the risk preferences of u s executives in this paper i elicit risk attitudes of u s executives by calibrating a subjective option valuation model for option exercising data 1996 to 2008 yielding approximately 65 000 values of relative risk aversion rra for almost 7 000 executives the observed behavior is generally consistent with moderate risk aversion and a median mean rra close to one three values are validated for chief executive officers ceos by testing theory based predictions on the influence of individual characteristics on risk preferences such as gender marital status religiosity and intelligence senior managers such as ceos presidents and chairpersons of the boards of directors are significantly less risk averse than non senior executives rra heterogeneity is strongly correlated with sector membership and firm level variables such as size performance and capital structure alternative factors influencing option exercises are tested for their influence on rra values this paper was accepted by brad barber finance

are company founders underpaid this article examines the relation between founder status and ceo compensation in publicly listed us firms the results suggest that ceo founders receive lower cash pay and total compensation compared to professional managers in contrast ceos who are relatives of the founders receive similar cash pay and total compensation to that of professional managers different compensation levels also emerge in terms of stock option awards the findings underline the importance of distinguishing among these three ceo types when examining the determinants of executive compensation

ceo incentives and firm size we develop a model that clarifies how to measure ceo incentive strength and how to reconcile the enormous differences in pay sensitivities between executives in large and small firms the crucial parameter is shown to be the elasticity of ceo productivity with respect to firm size we find that ceo marginal products rise significantly with firm size confirming rosen s conjecture that ceos of large firms have a chain letter effect on firm performance and overall ceo incentives are roughly constant or decline slightly with firm size we employ a multitask model to discuss implications for the design of control systems

on the mis use of wealth as a proxy for risk aversion tests of risk sharing in the contracting literature often rely on wealth as a proxy for risk aversion the intuition behind these tests is that since contract choice is monotonic in the coefficients of risk aversion which are themselves assumed monotonic in wealth the effect of a change in wealth on contract choice is clearly identified we show that tests of risk sharing relying on wealth as a proxy for risk aversion are identified only insofar as the econometrician is willing to assume that a the principal is risk neutral or her preferences exhibit constant absolute risk aversion cara and b the agent is risk neutral

executive compensation a modern primer this article studies traditional and modern theories of executive compensation bringing them together under a simple unifying framework accessible to the general interest reader we analyze assignment models of the level of pay and static and dynamic moral hazard models of incentives and compare their predictions to empirical findings we make two broad points first traditional theories find it difficult to explain the data suggesting that compensation results from rent extraction by ceos however more modern shareholder value theories that arguably better capture the ceo setting do deliver predictions consistent with observed practices suggesting that these practices need not be inefficient second seemingly innocuous features of the modeling setup often made for tractability or convenience can lead to significant differences in the model s implications and conclusions on the efficiency of observed practices we close by highlighting apparent inefficiencies in executive compensation and additional directions for future research