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Emission Caps and Investment in Green Technologies

Review of Financial Studies 2026 open access
We study the interaction between firms, which can invest in green technologies, and a government, which can impose emission caps but has limited commitment power. Investment in green technologies generates innovation spillovers, reducing the cost of further investments. Spillovers generate intertemporal strategic complementarities between firms and government, and equilibrium multiplicity. In a “green equilibrium”, firms, anticipating caps, invest in green technologies, which reduces the cost of further investment, making the government willing to cap emissions. In a “brown equilibrium”, firms, anticipating no caps, don’t invest, so green technologies remain costly and the government gives up on emission caps.

Incentive-Compatible Contracts for the Sale of Information: Table 1

Review of Financial Studies 2002 15(4), 987-1003
An informed financial institution can trade on private information and also sell it to clients through a managed fund. To provide an incentive for the informed agent to trade in the interest of her client, the optimal contract requires that she be compensated as an increasing function of the profits of the fund. The optimal contract is also designed to limit the aggressiveness of the sum of the fund’s trade and the proprietary trade. This reduces information revelation and thus leads to greater overall trading profits than if the informed agent only conducted proprietary trades.

Trade Credit and Credit Rationing

Review of Financial Studies 1997 10(4), 903-937
Asymmetric information between banks and firms can preclude financing of valuable projects. Trade credit can alleviate this problem by incorporating in the lending relation the private information held by suppliers about their customers. Incentive compatibility conditions prevent collusion between two of the agents (e.g., the buyer and the seller) against the third (e.g., the bank). Consistent with the empirical findings of Petersen and Rajan (1995), firms without relationships with banks resort more to trade credit, and sellers with greater ability to generate cash flows provide more trade credit. Finally small firms react to monetary contractions by using trade credit, consistent with the empirical results of Nilsen (1994).

An Empirical Analysis of the Limit Order Book and the Order Flow in the Paris Bourse

Journal of Finance 1995
As a centralized, computerized, limit order market, the Paris Bourse is particularly appropriate for studying the interaction between the order book and order flow. Descriptive methods capture the richness of the data and distinctive aspects of the market structure. Order flow is concentrated near the quote, while the depth of the book is somewhat larger at nearby valuations. We analyze the supply and demand of liquidity. For example, thin books elicit orders and thick books result in trades. To gain price and time priority, investors quickly place orders within the quotes when the depth at the quotes or the spread is large. Consistent with information effects, downward (upward) shifts in both bid and ask quotes occur after large sales (purchases).

Machiavellian Privatization

American Economic Review 2002 92(1), 240-258
We analyze politically motivated privatization in a bipartisan environment. When median-class voters a priori favor redistributive policies, a strategic privatization program allocating them enough shares can induce a voting shift away from left-wing parties whose policy would reduce the value of shareholdings. To induce median-class voters to buy enough shares to shift political preferences, strategic rationing and underpricing is often necessary. In the extreme, this may lead to free share distribution and voucher privatization. Shifting voting preferences becomes impossible when strong ex ante political constraints require large upfront transfers to insiders or when social inequality is extreme.

Equilibrium fast trading

Journal of Financial Economics 2015 116(2), 292-313
High speed market connections improve investors׳ ability to search for attractive quotes in fragmented markets, raising gains from trade. They also enable fast traders to obtain information before slow traders, generating adverse selection, and thus negative externalities. When investing in fast trading technologies, institutions do not internalize these externalities. Accordingly, they overinvest in equilibrium. Completely banning fast trading is dominated by offering two types of markets: one accepting fast traders, the other banning them. Utilitarian welfare is maximized with (i) a single market type on which fast and slow traders coexist and (ii) Pigovian taxes on investment in the fast trading technology.

Equilibrium Asset Pricing and Portfolio Choice Under Asymmetric Information

Review of Financial Studies 2010 23(4), 1503-1543 open access
We analyze theoretically and empirically the implications of information asymmetry for equilibrium asset pricing and portfolio choice. In our partially revealing dynamic rational expectations equilibrium, portfolio separation fails, and indexing is not optimal. We show how uninformed investors should structure their portfolios, using the information contained in prices to cope with winner’s curse problems. We implement empirically this price- contingent portfolio strategy. Consistent with our theory, the strategy outperforms economically and statistically the index. While momentum can arise in the model, in the data, the momentum strategy does not outperform the price-contingent strategy, as predicted by the theory.

Dynamics of Innovation and Risk

Review of Financial Studies 2015 28(5), 1353-1380 open access
We study the dynamics of an innovative industry when agents learn about its strength, i.e., the likelihood that it gets hit by negative shocks. Managers can exert risk-prevention effort to mitigate the consequences of such shocks. As time goes by, if no shock occurs, confidence improves. This attracts managers to the innovative sector. But, when confidence becomes high, less managers exerting low risk-prevention effort also enter. This accelerates the growth of the industry, while inducing a decline in risk-prevention. The longer the boom, the stronger the confidence, the larger the losses if a shock occurs. While the above dynamics arise in the first best, with asymmetric information there is excessive entry of inefficient managers, earning informational rents at the expense of efficient managers. This inflates the innovative sector and increases its vulnerability.

The Blockchain Folk Theorem

Review of Financial Studies 2019 32(5), 1662-1715 open access
Blockchains are distributed ledgers, operated within peer-to-peer networks. We model the proof-of-work blockchain protocol as a stochastic game and analyze the equilibrium strategies of rational, strategic miners. Mining the longest chain is a Markov perfect equilibrium, without forking, in line with Nakamoto (2008). The blockchain protocol, however, is a coordination game, with multiple equilibria. There exist equilibria with forks, leading to orphaned blocks and persistent divergence between chains. We also show how forks can be generated by information delays and software upgrades. Last we identify negative externalities implying that equilibrium investment in computing capacity is excessive.Received May 31, 2017; editorial decision July 6, 2018 by Editor Itay Goldstein.

Incentive Constrained Risk Sharing, Segmentation, and Asset Pricing

American Economic Review 2021 111(11), 3575-3610
Incentive problems make securities’ payoffs imperfectly pledgeable, limiting agents’ ability to issue liabilities. We analyze the equilibrium consequences of such endogenous incompleteness in a dynamic exchange economy. Because markets are endogenously incomplete, agents have different intertemporal marginal rates of substitution, so that they value assets differently. Consequently, agents hold different portfolios. This leads to endogenous markets segmentation, which we characterize with optimal transport methods. Moreover, there is a basis going always in the same direction: the price of a security is lower than that of replicating portfolios of long positions. Finally, equilibrium expected returns are concave in factor loadings. (JEL D51, D52, G11, G12)