MARZENA ROSTEK

    Research Interests: Microeconomic Theory, Finance
 

 

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Market Design:

  • "Design of Divisible Good Auctions," (with M. Pycia and M. Weretka), a new version coming soon, pdf
         Uniform price and discriminatory price auctions are the most common formats for selling divisible goods. For example, most Treasury departments use one of the two designs to auction securities on a weekly basis. Despite the central importance of these markets, little is known about the superiority of either auction format in terms of revenue and efficiency. This paper establishes such rankings and studies the design of divisible goods more generally.
  • "Small Double Auctions," (with M. Weretka), revised November 2009.
     
        

  • "Dynamic Bilateral Oligopoly," (with M. Weretka), revised July 2009.
         The paper demonstrates that dynamic bilateral market power qualitatively changes the equilibrium properties of prices and dynamic trading strategies, compared to existing competitive or non-competitive models. We discuss implications for modeling market structures.

Finance:
     The assumption of price-taking behavior underlies many central results in asset pricing, including the no-arbitrage principle and full diversification of risk. It is now well understood that many financial markets are thin: individual orders are large relative to the daily volume of trade and, hence, induce price impact. The competitive equilibrium asset-pricing models, such as CAPM or consumption CAPM, are thus not suitable to model markets with such large investors.

  • "Thin Markets," (with M. Weretka), The New Palgrave Dictionary of Economics Online (2008), Steven N. Durlauf and Lawrence E. Blume, Eds. Palgrave Macmillan. link
  • "Dynamic Thin Markets," (with M. Weretka), revised August 2009, submitted, pdf
     
        Extensive empirical research has shown that, in many markets, institutional investors have a significant impact on prices and mitigate its adverse effects through trading strategies. This paper develops a dynamic multiple-asset model of such thin markets in which the market structure is one of bilateral oligopoly. Traders' price impact derives solely from decreasing marginal utility and not asymmetric information. Our predictions match a number of empirical facts that are hard to reconcile with prior modeling approaches; e.g., optimal execution of trade through breaking-up orders into blocks, asset price overshooting, stylized facts about price volatility.
  • "Liquidity Concerns in Thin Financial Markets," (with M. Weretka), in progress.
     
        Empirical evidence shows that assets are priced not only for their risk and return but also liquidity. We model asset illiquidity as resulting from traders' price impact. Thus, by contrast to the existing literature, liquidity effects arise without appealing to costs or asymmetric information. The interaction of uncertainty about asset returns with price impact gives rise to equilibrium liquidity premia that vary with time-to-maturity and are functions of the endogenously derived price impact.

Other work:

  • "Quantile Maximization in Decision Theory," Forthcoming in The Review of Economic Studies. pdf
     
        This paper introduces a model of preferences in which an individual compares uncertain alternatives through a quantile of the induced utility distributions. The choice rule of Quantile Maximization nests maxmin and maxmax but also captures less extreme preferences. Although largely ignored in decision theory literature, quantiles are present in many applied areas of economics: econometrics (robust estimation and quantile regression), measurement (population-based poverty lines, order statistics), and others. The two key distinctive features of the model are robustness (to fat tails) and ordinality (robustness to the assumptions about risk attitudes). One important class of decision problems with which Quantile Maximization (but not Expected Utility or any other cardinal model) can formally deal is that where the alternatives involve categorical, sometimes referred to as qualitative, variables. Taking preferences over acts as a primitive, I axiomatize Quantile Maximization in a Savage setting.
  • "Price Discrimination and Resale: A Classroom Experiment," (with A. Basuchoudhary, C. Metcalf, K. Pommerenke, D. H. Reiley, C. Rojas, and J. Stodder), The Journal of Economic Education (2008), 39 (3), 229-244.