Common agency lobbying over coalitions and policy

This paper presents a theory of common agency lobbying in which policy-interested lobbies can first influence the choice of a proto-coalition and then influence the legislative bargaining over policy within that coalition. The equilibrium policy in the legislative bargaining stage maximizes the aggregate policy utility of the coalition members and the lobbies, but lobbying can also lead to the preservation of the status quo and lobby-induced gridlock. When the status quo does not persist, the policy outcome is largely determined by the selection of a coalition, since legislative bargaining under unanimity within the coalition leads to a coalition-efficient policy regardless of the identity of the proposer. An example is presented to identify the types of equilibria and provide a full characterization of an equilibrium.     

Political contribution caps and lobby formation: Theory and evidence

The perceived importance of “special interest group” money in election campaigns motivates widespread use of caps on allowable contributions. We present a bargaining model in which the effect of a cap that is not too stringent on the amount a lobby can contribute improves its bargaining position relative to the politician. It thus increases the payoff from lobbying, which will therefore increase the equilibrium number of lobbies when lobby formation is endogenous. Caps may then also increase aggregate contributions from lobbies and increase politically motivated government spending. We present empirical evidence from U.S. states that support various predictions of the model. We find a positive effect on the number of PACs formed from enacting laws constraining PAC contributions. Moreover, the estimated effect is non-linear, as predicted by the theoretical model. Very stringent caps reduce the number of PACs, but as the cap increases above a threshold level, the effect becomes positive. Contribution caps in the majority of U.S. states are above this threshold.     

Protection for Sale: The case of oligopolistic competition and interdependent sectors

In Grossman‐Helpman's (1994) canonical “Protection for Sale” (PFS) model, political competition among industry lobbies is driven purely by their interests as consumers. This paper introduces demand linkages and oligopolistic competition into the PFS framework to address the rivalry among lobbies stemming from product substitutability. It shows that increased substitutability weakens the interest groups' incentives to lobby and reduces tariff distortions. This may explain why empirical tests of PFS find surprisingly little impact of lobbies on the government's trade policy decision. The paper also analyzes endogenous lobby formation, suggesting that demand linkages may adversely affect the industry decision to organize.     

Does Centralization Affect the Number and Size of Lobbies?

Previous research has shown that the effect of fiscal centralization is to reduce lobbying. However empirical evidence suggests that this is not always the case. This paper attempts to explain the empirical evidence in a two‐jurisdiction political economy model of endogenous lobby formation and policy determination. We measure lobbying in two ways: (i) the number of lobbies formed under the two settings and (ii) their impact on policy decisions. We show that, contrary to the predictions of the preference dilution effect, the effect of centralization on lobbying are ambiguous with respect to both measures of lobbies.     

Redealing the cards: How an eco-industry modifies the political economy of environmental taxes

This article presents a combined economic–political model of environmental taxation setting. The model introduces a third lobby group – the lobby of an eco-industry – in addition to the traditional lobbies of polluting firms and environmentalists. Pressure groups interact to influence the environmental tax chosen by a regulator maximizing its chances of being reelected. The eco-industry lobby adds a new political contribution toward a higher environmental tax. The imperfectly competitive structure of the eco-industry also modifies the incentives of the usual lobbies. When the foreign environmental policy is constant, environmentalists can be in favor of a decrease in the local tax in order to reduce foreign pollution. We also discuss the formation of alliances between the eco-industry and one of the other lobbies and their potential impact. In general, the impact of lobbying activities on the politically optimal tax is ambiguous and depends on the relative concentration of each pressure group.     

A Cournot–Nash Model of Family Decision Making

This paper models a two-person family. Each family member is utility maximising, yet family members are interdependent because of caring and public goods within the family. The two family members' interdependent utility maximisation problems are first solved using a non-cooperative, or Cournot–Nash, game theoretic framework. The Cournot–Nash equilibrium is then used as a threat point in a bargaining game. The paper provides a rigorous derivation of the properties of household demands, a full analysis of the determinants of intra-household resource allocation, including the effect of varying household bargaining power, and consideration of policy implications.     

Optimal monetary and fiscal policies in a search theoretic model of monetary exchange

Search models of monetary exchange commonly assume that terms of trade in anonymous markets are determined via Nash bargaining, which generally causes monetary equilibrium to be inefficient. Bargaining frictions add to the classical intertemporal distortion present in most monetary models, whereby agents work today to obtain cash that can be used only in future transactions. In this paper, we study the properties of optimal fiscal and monetary policy within the framework of Lagos and Wright (2005). We show that fiscal policy can be implemented to alleviate underproduction while money is still essential. If lump sum monetary transfers are available, a production subsidy can restore the efficiency of monetary equilibria. The Friedman rule belongs to the optimal policy set, but higher inflation rates are also possible. When lump-sum monetary transfers are not available, equilibrium allocations are generally not first-best. Nevertheless, fiscal policy still results in substantial welfare gains. Money can be extracted from circulation via a sales tax on decentralized market activities, and the Friedman rule is only optimal if the buyer has relatively low bargaining power.     

Implementations of the Nash solution based on its Walrasian characterization

Summary. The present paper provides three different support results for the Nash bargaining solution of -person bargaining games. First, for any bargaining game there is defined a non-cooperative game in strategic form, whose unique Nash equilibrium induces a payoff vector that coincides with the Nash solution of the bargaining game. Next this game is modified in such a way that the unique Nash equilibrium that supports the Nash solution is even in dominant strategies. After that an -stage game in extensive form is presented whose unique subgame perfect equilibrium supports the Nash solution of the bargaining game. Finally, the support results are shown to induce implementation results in the sense of mechanism theory. Received: October 3, 1999; revised version: October 26, 1999     

Codetermination,Price Competition and the Network Industry

This research develops a tractable two‐stage non‐cooperative game with complete information describing the behaviour of price‐setting firms that must choose to be profit maximisers or bargainers under codetermination in a network industry with horizontal product differentiation. The existing theoretical literature has already shown that codetermination might arise as the endogenous market outcome in a strategic competitive quantity‐setting duopoly. In sharp contrast with this result, the present article shows that codetermination does never emerge as a Nash equilibrium in a price‐setting non‐network duopoly. Then, it aims at highlighting the role of network externalities in determining changes of paradigm of the game and letting codetermination become a sub‐game perfect Nash equilibrium when prices are strategic substitutes or strategic complements. This equilibrium may be Pareto efficient. Results allow distinguishing between mandatory codetermination and voluntary codetermination. The article also proposes a model of endogenous codetermination according to which every firm may choose to bargain with its own corresponding union bargaining unit only whether the firm's bargaining strength is exactly the profit‐maximising one. The equilibrium outcomes emerging in this case range from a uniform Nash equilibrium, in which both firms are codetermined, to mixed Nash equilibria, in which only one of them chooses to be codetermined. These results are ‘network depending’ and do not hold in a non‐network duopoly.     

N-PERSON NASH BNARGAINING WITH VARIABEL THREATS*

We consider two models of n-person bargaining problems with the endogenous determination of disagreement points. In the first model, which is a direct extension of Nash's variable threat bargaining model, the disagreement point is determined as an equilibrium threat point. In the second model, the disagreement point is given as a Nash equilibrium of the underlying noncooperative game. These models are formulated as extensive games, and axiomatizations of solutions are given for both models. It is argued that for games with more than two players, the first bargaining model does not preserve some important properties valid for two-person games, e.g., the uniqueness of equilibrium payoff vector. We also show that when the number of players is large, any equilibrium threat point becomes approximately a Nash equilibrium in the underlying noncooperative game, and vice versa. This result suggests that the difference between the two models becomes less significant when the number of players is large.     

The Nash bargaining solution in general n-person cooperative games

We present a noncooperative foundation for the Nash bargaining solution for an n-person cooperative game in strategic form. The Nash bargaining solution should be immune to any coalitional deviations. Our noncooperative approach yields a new core concept, called the Nash core, for a cooperative game based on a consistency principle. We prove that the Nash bargaining solution can be supported (in every subgame) by a stationary subgame perfect equilibrium of the bargaining game if and only if the Nash bargaining solution belongs to the Nash core.     

Directed search, unemployment and public policy

Abstract .  We examine the effects of public policy parameters in a simple directed search model of the labour market, and contrast them with those in standard random matching models with Nash bargaining. Both finite and limit versions of the directed search model are considered, and the value of the limit model as an approximation of the finite one is assessed. As with the random matching model, job creation is the key channel through which the policy parameters affect the equilibrium of the directed search model. Both comparative static effects of the policy parameters and optimal configurations are identified.     

Profit sharing as entry deterrence mechanism

In a right-to-manage framework, this paper analyzes the optimal choice of the pay scheme (profit sharing vs. fixed wage) in a unionized duopoly with potential market entry and decentralized bargaining. The paper shows that, depending on the institutional features, both pay systems can arise as equilibria in Nash strategies. Under duopoly with committed bargaining, the fixed wage is the Nash equilibrium; with flexible bargaining, an agreement between the incumbent firm and its union about profit sharing arises as Nash equilibrium, if the union is not too strong. A monopoly with threat of entry reinforces the selection of profit sharing as a deterrent mechanism.     

Asymmetric Punishment as an Instrument of Corruption Control

The control of bribery is a policy objective in many developing countries. It has been argued that asymmetric punishments could reduce bribery by incentivizing whistle‐blowing. This paper investigates the role played by asymmetric punishment in a setting where bribe size is determined by Nash bargaining, detection is costly, and detection rates are set endogenously. First, if whistle‐blowing is infeasible, the symmetry properties of punishment are irrelevant to bribery deterrence but not to bribe size. Bribery disappears if expected penalties are sufficiently high; otherwise, bribe sizes rise as expected penalties rise. Second, when the bribe‐giver may whistle‐blow, a switch from symmetric to asymmetric punishment eliminates bribery only if whistle‐blowing is cheap and the stakes are low. When bribery persists, multiple bribe sizes could survive in equilibrium. The paper derives parameter values under which each of these outcomes occurs, and discusses implications for welfare and the design of policy.     

Valuations and dynamics of negotiations

This paper analyzes three‐party negotiations in the presence of externalities. We obtain a closed‐form solution for the Markov perfect equilibrium of a multilateral non‐cooperative bargaining model, yielding an equilibrium value and dynamics of negotiations that are supported by experimental studies. Players’ values are monotonically increasing (or decreasing) in the amount of negative (or positive) externalities that they impose on others. Moreover, players’ values are continuous and piecewise linear on the worth of bilateral coalitions, and are inextricably related to their negotiation strategies: the equilibrium value is the Nash bargaining solution when no bilateral coalitions form; the Shapley value when all bilateral coalitions form; or the nucleolus, when either one bilateral coalition among “natural partners” or two bilateral coalitions including a “pivotal player” form.     

Hormone beef, chlorinated chicken and international trade

We study international trade in innovative goods subject to uncertain consumer health effects. Such goods are often at the center of international trade disputes. We show that an interesting form of protectionism may arise because of scientific uncertainty. A free-riding effect is identified, implying more conservative behavior by countries. We also study the role of producers (lobbies) in providing valuable information, finding that the innovative lobby has an advantage in providing information as compared with the lobby producing the ‘traditional’ good. Moreover, lobbies disclose more information when the health effects are long lasting.     

Coalitional bargaining games with random proposers: Theory and application

We consider a non-cooperative coalitional bargaining game with random proposers in a general situation for which players differ in recognition probability and time preference. We characterize an efficient equilibrium as the generalized Nash bargaining solution that belongs to the core. The model is applied to wage bargaining between an employer and multiple workers. Although involuntary unemployment may occur in equilibrium, full employment emerges as players become sufficiently patient.     

Lobbying for Education in a Two‐Sector Model

Firms specialized in two different sectors lobby to induce the government to subsidize the type of education complementary to their production. Lobbying is endogenous. We show that, if lobbying is not costly, both sectors will lobby in equilibrium and the education policy will induce the same skill composition that would be chosen by the social planner. However, if lobbying is costly and there is sufficient asymmetry between the sectors, only one sector will exert pressure on the policy‐maker in the attempt to direct resources toward the type of education required by its production. Which sector will engage in lobbying depends on relative size, productivity, and price. We also provide some preliminary evidence that lobbying activity by firms may influence the production of skills needed by those firms.     

Sequential bargaining in a market with one seller and two different buyers

A matching and bargaining model in a market with one seller and two buyers, differing only in their reservation price, is analyzed. No subgame perfect equilibrium exists for stationary strategies. We demonstrate the existence of inefficient equilibria in which the low buyer receives the good with large probability, even as friction becomes negligible. We investigate the relationship between the use of Nash and sequential bargaining. Nash bargaining seems applicable only when the sequential approach yields a unique stationary strategy subgame perfect equilibrium.     

TIME CONSISTENCY IN ALTERNATING‐MOVE POLICY GAMES*

We examine alternating‐move policy games where the government and the private sector alternate their moves. In contrast with the standard policy game, the set of equilibrium payoffs of the present model is bounded away from the payoff under the one‐shot Nash equilibrium, called the Kydland–Prescott outcome, and the upper bound is close to the payoff under the optimal policy (called the Ramsey policy) if the government is sufficiently patient. In other words, the Kydland–Prescott outcome is not time consistent, while the Ramsey outcome could be approximated by a time‐consistent policy of the same game.