Institutional complementarity refers to situations of interdependence among institutions. This concept is frequently used to explain the degree of institutional diversity that can be observed across and within socio-economic systems, and its consequences on economic performance. In particular, the concept of institutional complementarity has been used to illustrate why institutions are resistant to change and why introducing new institutions into a system often leads to unintended, sometimes suboptimal, consequences. [1]
Socioeconomics is the social science that studies how economic activity affects and is shaped by social processes. In general it analyzes how societies progress, stagnate, or regress because of their local or regional economy, or the global economy. Societies are divided into 3 groups: social, cultural and economic.
Approaches, based on the concept of institutional complementarities, have found applications across a wide range of institutional spheres, going from firm governance and industrial relations to varieties of capitalism and political reforms. Formal models have also been developed to study the nature and consequences of institutional complementarity. After a brief description of the canonical formal representation of institutional complementarity, the most relevant domains of applications will be discussed.
The concept of institutional complementarity has deep roots in the social sciences. [2] Whereas the sociological approach of the interdependence of different institutions has left the actions of the individuals largely outside the analysis, the modern approach, developed mainly by economists, has been based on the analysis of the constraints facing the actions of the individuals acting in different domains of choice. This approach has found applications across a wide range of institutional spheres, going from firm governance and industrial relations to varieties of capitalism and political reforms. Formal models have also been developed to study the nature and consequences of institutional complementarity.
The canonical model of institutional complementarity is due to Masahiko Aoki [3] and relies on the theory of supermodular games developed by Paul Milgrom and John Roberts. [4] The basic structure of the model takes the following form.
Masahiko Aoki was a Japanese economist, Tomoye and Henri Takahashi Professor Emeritus of Japanese Studies in the Economics Department, and Senior Fellow of the Stanford Institute for Economic Policy Research and Freeman Spogli Institute for International Studies at Stanford University. Aoki was known for his work in comparative institutional analysis, corporate governance, the theory of the firm, and comparative East Asian development.
Paul Robert Milgrom is an American economist. He is the Shirley and Leonard Ely Professor of Humanities and Sciences at Stanford University, a position he has held since 1987. Milgrom is an expert in game theory, specifically auction theory and pricing strategies. He is the co-creator of the no-trade theorem with Nancy Stokey. He is the co-founder of several companies, the most recent of which, Auctionomics, provides software and services that create efficient markets for complex commercial auctions and exchanges.
John Glover Roberts Jr. is an American lawyer and jurist who serves as Chief Justice of the United States. Roberts has authored the majority opinion in several landmark cases, including Shelby County v. Holder, National Federation of Independent Business v. Sebelius, King v. Burwell, and Department of Commerce v. New York. He has been described as having a conservative judicial philosophy in his jurisprudence, but has shown a willingness to work with the Supreme Court's liberal bloc, and since the retirement of Anthony Kennedy in 2018 has come to be regarded as a key swing vote on the Court.
Consider a setting with two institutional domains, A and B, and two sets of agents, C and D that do not directly interact with each other. Nevertheless, an institution implemented in one domain parametrically affects the consequences of the actions taken in the other domain. For instance, A can be associated with the type of ownership structure prevailing in a given country and B with the structure of labour rights. For simplicity we assume that the technological and natural environment is constant.
Suppose that the agents in domain A can choose a rule from two alternative options: A1 and A2; similarly, agents in domain B can choose a rule from either B1 or B2. For simplicity, let us assume that all agents in each domain have an identical payoff function ui = u(i ∈ C) or vj = v(j ∈ D) defined on binary choice sets of their own, either {A1; A2} or {B1; B2}, with another sets as the set of parameters. We say that an (endogenous) “rule” is institutionalized in a domain when it is implemented as an equilibrium choice of agents in the relevant domains.
Suppose that the following conditions hold:
for all i and j. The latter are the so-called supermodular (complementarity) conditions. The first condition implies that the “incremental” benefit for the agents in A from choosing A1 rather than A2 increases as their institutional environment in B is B1 rather than B2 . The second condition implies that the incremental benefit for agents in B from choosing B2 rather than B1 increases if their institutional environment in A is A2 rather than A1. Note that these conditions are concerned with the property of incremental payoffs with respect to a change in a parameter value. They do not exclude the possibility that the level of payoff of one rule is strictly higher than that of the other for the agents of one or both domain(s) regardless of the choice of rule in the other domain. In such a case the preferred rule(s) will be implemented autonomously in the relevant domain, while the agents in the other domain will choose the rule that maximizes their payoffs in response to their institutional environment. Then the equilibrium of the system comprising A and B – and thus the institutional arrangement across them – is uniquely determined by preference (technology).
However, there can also be cases in which neither rule dominates the other in either domain in the sense described above. If so, the agents in both domains need to take into account which rule is institutionalized in the other domain. Under the supermodularity condition there can then be two pure Nash equilibria (institutional arrangements) for the system comprising A and B, namely (A1; B1) and (A2; B2). When such multiple equilibria exist, we say that A1 and B1, as well as A2 and B2, are “institutional complements”.
If institutional complementarity exists, each institutional arrangement characterizes as a self-sustaining equilibrium where no agent has an inventive to deviate. It terms of welfare, it may be the case that possible overall institutional arrangements are not mutually Pareto comparable, or that one of them could be even Pareto suboptimal to the other. In these cases history is the main force determining which type of institutional arrangements is likely to emerge, with the consequence that suboptimal outcomes are possible.
Suppose for instance that (A2; B2) is a Pareto-superior institutional arrangement in which u(A2; B2) > u(A1; B1) and v(B2; A2) > v(B1; A1) . However, for some historical reason A1 is chosen in domain A and becomes an institutional environment for domain B. Faced with this institutional environment agents in domain B will correspondingly react by choosing reason B1. Thus the Pareto-suboptimal institutional arrangement (A1; B1) will result. This is an instance of coordination failure in the presence of indivisibility.
Obviously, there can also be cases where u(A2; B2) > u(A1; B1) but v(B1; A1) > v(B2; A2). This is an instance where the two viable institutional arrangements cannot be Pareto ranked. Agents exhibit conflicting interests in the two equilibria and the emergence of one institutional arrangement as opposed to the other may depend on the distribution of decisional power. If for some reasons agents choosing in domain A have the power to select and enforce their preferred rule, arrangement (A2; B2) is the most likely outcome. Alternatively, agents choosing in domain B will force the society to adopt (B1; A1).
Ugo Pagano and Robert Rowthorn [5] [6] present one of the earliest analytical contribution to institutional complementarity. In their models the technological choices take as parameters property rights arrangements whereas the latter are made on the basis of given technologies. The complementarities of technologies and property rights create two different sets of organizational equilibria. For instance, strong rights of the capital owners and a technology with a high intensity of specific and difficult to monitor capital are likely be institutional complements and define one possible organizational equilibrium. However, also strong workers' rights and a technology characterized by a high intensity of highly specific labor can be institutional complements and define an alternative organizational equilibrium. The organizational equilibria approach integrate the approach of Oliver Williamson, [7] which have pointed out the influence of technology on rights and safeguards, and the views of the Radical Economists, [8] who have stressed the opposite direction of causation. The complementarities existing in the different organizational equilibria integrate both directions of causation in a single analytical framework. A similar approach has been used to explain organizational diversity in knowledge-intensive industries, such as software. [9] [10]
Ugo Pagano is an Italian economist and Professor of Economic Policy at the University of Siena (Italy) where he is also Director of the PhD programme in Economics and President of S. Chiara Graduate School.
Robert "Bob" Rowthorn is Emeritus Professor of Economics at the University of Cambridge and has been elected as a Life Fellow of King’s College. He is also a senior research fellow of the Centre for Population Research at the Department of Social Policy and Intervention, University of Oxford.
Institutional complementarities characterize also the relations between intellectual property and human capital investments. Firms owning much intellectual property enjoy a protection for their investments in human capital, which in turn favor the acquisition of additional intellectual property. By contrast other firms may find themselves in a vicious circle where the lack of intellectual property inhibits the incentive to invest in human capital and low levels of human capital investments involve that little or no intellectual property is ever acquired. [11]
Less formal approaches to institutional complementarities have also been adopted. In their seminal contribution Peter A. Hall and David Soskice [12] develop a broad theoretical framework to study the institutional complementarities that characterize different Varieties of Capitalism. Having a specific focus on the institutions of the political economy the authors develop an actor-centered approach for understanding the institutional similarities and differences among the developed economies. The varieties of capitalism approach has inspired a large number of application to the political economy field. To give some examples, Robert Franzese [13] and Martin Höpner [14] investigate the implications for industrial relations; Margarita Estevez-Abe, Torben Iversen and David Soskice [15] use the approach to analyze social protection; Orfeo Fioretos [16] considers political relationships, international negotiations and national interests; Peter A. Hall and Daniel W. Gingerich [17] study the relationship among labor relations, corporate governance and rates of growth; Bruno Amable [18] analyzes the implications of institutional complementarity for social systems of innovation and production.
In addition to institutional variety, the notion of institutional complementarity has also motivated studies on institutional change. [19] [20] In these works institutional complementarity is often presented as a conservative factor, which increases the stability of the institutional equilibrium. [21] In presence of institutional complementarity change requires the simultaneous variation of different institutional domains, which in turn demands high coordination among the actors involved. Sometime, institutions themselves can act as resources for new courses of action that (incrementally) favor change. [22]
Alongside contributions on the distinct models of capitalism, the concept institutional complementarity has found application also in other domain of analysis. Masahiko Aoki, [23] for instance, studies the role of institutional complementarity in contingent governance models of teams. Mathias Siems and Simon Deakin [24] rely on an institutional complementarity approach to investigate differences in the business laws governing in various countries. Francesca Gagliardi [25] argue in favor of an institutional complementarity relationship between local banking institutions and cooperative firms in Italy. Andrea Bonaccorsi and Grid Thoma, [26] finally, uses the idea of institutional complementarity to investigate inventive performance in nano science and technology.
In game theory and economic theory, a zero-sum game is a mathematical representation of a situation in which each participant's gain or loss of utility is exactly balanced by the losses or gains of the utility of the other participants. If the total gains of the participants are added up and the total losses are subtracted, they will sum to zero. Thus, cutting a cake, where taking a larger piece reduces the amount of cake available for others, is a zero-sum game if all participants value each unit of cake equally.
In game theory, the Nash equilibrium, named after the mathematician John Forbes Nash Jr., is a proposed solution of a non-cooperative game involving two or more players in which each player is assumed to know the equilibrium strategies of the other players, and no player has anything to gain by changing only their own strategy.
Pareto efficiency or Pareto optimality is a state of allocation of resources from which it is impossible to reallocate so as to make any one individual or preference criterion better off without making at least one individual or preference criterion worse off. The concept is named after Vilfredo Pareto (1848–1923), Italian engineer and economist, who used the concept in his studies of economic efficiency and income distribution.
In economics, general equilibrium theory attempts to explain the behavior of supply, demand, and prices in a whole economy with several or many interacting markets, by seeking to prove that the interaction of demand and supply will result in an overall general equilibrium. General equilibrium theory contrasts to the theory of partial equilibrium, which only analyzes single markets.
In social choice theory, Arrow's impossibility theorem, the general possibility theorem or Arrow's paradox is an impossibility theorem stating that when voters have three or more distinct alternatives (options), no ranked voting electoral system can convert the ranked preferences of individuals into a community-wide ranking while also meeting a specified set of criteria: unrestricted domain, non-dictatorship, Pareto efficiency, and independence of irrelevant alternatives. The theorem is often cited in discussions of voting theory as it is further interpreted by the Gibbard–Satterthwaite theorem. The theorem is named after economist and Nobel laureate Kenneth Arrow, who demonstrated the theorem in his doctoral thesis and popularized it in his 1951 book Social Choice and Individual Values. The original paper was titled "A Difficulty in the Concept of Social Welfare".
This aims to be a complete article list of economics topics:
Experimental economics is the application of experimental methods to study economic questions. Data collected in experiments are used to estimate effect size, test the validity of economic theories, and illuminate market mechanisms. Economic experiments usually use cash to motivate subjects, in order to mimic real-world incentives. Experiments are used to help understand how and why markets and other exchange systems function as they do. Experimental economics have also expanded to understand institutions and the law.
In mathematics, a function
In game theory, coordination games are a class of games with multiple pure strategy Nash equilibria in which players choose the same or corresponding strategies.
In game theory, the core is the set of feasible allocations that cannot be improved upon by a subset of the economy's agents. A coalition is said to improve upon or block a feasible allocation if the members of that coalition are better off under another feasible allocation that is identical to the first except that every member of the coalition has a different consumption bundle that is part of an aggregate consumption bundle that can be constructed from publicly available technology and the initial endowments of each consumer in the coalition.
In game theory, folk theorems are a class of theorems about possible Nash equilibrium payoff profiles in repeated games. The original Folk Theorem concerned the payoffs of all the Nash equilibria of an infinitely repeated game. This result was called the Folk Theorem because it was widely known among game theorists in the 1950s, even though no one had published it. Friedman's (1971) Theorem concerns the payoffs of certain subgame-perfect Nash equilibria (SPE) of an infinitely repeated game, and so strengthens the original Folk Theorem by using a stronger equilibrium concept subgame-perfect Nash equilibria rather than Nash equilibrium.
Quantal response equilibrium (QRE) is a solution concept in game theory. First introduced by Richard McKelvey and Thomas Palfrey, it provides an equilibrium notion with bounded rationality. QRE is not an equilibrium refinement, and it can give significantly different results from Nash equilibrium. QRE is only defined for games with discrete strategies, although there are continuous-strategy analogues.
Risk dominance and payoff dominance are two related refinements of the Nash equilibrium (NE) solution concept in game theory, defined by John Harsanyi and Reinhard Selten. A Nash equilibrium is considered payoff dominant if it is Pareto superior to all other Nash equilibria in the game. When faced with a choice among equilibria, all players would agree on the payoff dominant equilibrium since it offers to each player at least as much payoff as the other Nash equilibria. Conversely, a Nash equilibrium is considered risk dominant if it has the largest basin of attraction. This implies that the more uncertainty players have about the actions of the other player(s), the more likely they will choose the strategy corresponding to it.
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Roy Radner is Leonard N. Stern School Professor of Business at New York University. He is a micro-economic theorist. Previously he was a faculty member at the University of California, Berkeley, and a Distinguished Member of Technical Staff at AT&T Bell Laboratories.
Varieties of Capitalism: The Institutional Foundations of Comparative Advantage is a 2001 book on economics authored by political economists Peter A. Hall and David Soskice.
Xavier Vives is a Spanish economist regarded as one of the main figures in the field of industrial organization and, more broadly, microeconomics. He is currently Chaired Professor of Regulation, Competition and Public Policies, and academic director of the Public-Private Sector Research Center at IESE Business School in Barcelona.
Algebraic modeling languages like AIMMS, AMPL, GAMS, MPL and others have been developed to facilitate the description of a problem in mathematical terms and to link the abstract formulation with data-management systems on the one hand and appropriate algorithms for solution on the other. Robust algorithms and modeling language interfaces have been developed for a large variety of mathematical programming problems such as linear programs (LPs), nonlinear programs (NPs), Mixed Integer Programs (MIPs), mixed complementarity programs (MCPs) and others. Researchers are constantly updating the types of problems and algorithms that they wish to use to model in specific domain applications.