Summary
We report an exploratory study of the process of price formation in a speculative market in the absence of liquidity traders. Traders exchange a futures contract because they interpret information differently. We formulate trading as a sequence of anonymous double auctions and introduce a notion of bounded rationality in which traders use approximate models of market response in forming their bids. We prove existence of a perfect equilibrium in the sequential anonymous auctions game, and show that the equilibrium has a “no-regret” property. After learning the market price, a trader regrets neither the bid that he made nor the position that he holds. We show that trading volume is related to changes in the distribution of information in the economy. We also show that volume and expected change in price are related to two different attributes of the pattern of private information flow. Fundamentally, no particular relationship between the time series of these variables is always valid for all futures contracts. This point is emphasized by an example.
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References
Admati, A., Pfleiderer, P.: A theory of intraday trading patterns: volume and price variability. Rev. Financial Stud.1, 3–40 (1988)
Admati, A., Pfleiderer, P.: Divide and conquer: a theory of intraday and day-of-the-week mean effects. Rev. Financial Stud.2, 189–223 (1989)
Bray, M.: Futures trading, rational expectations and the efficient market hypothesis. Econometrica49, 575–596 (1981)
Bray, M., Kreps, D.: Rational learning and rational expectations. In: Feiwel, G. (ed.) Arrow and the ascent of modern economic theory: essays in honor of Kenneth Arrow. New York: University Press 1987
Dubey, P., Geanakoplos, J., Shubik, M.: The revelation of information in strategic market games: a critique of the rational expectations equilibrium. J. Math. Econ.16, 105–138 (1987)
Feldman, M., Gilles, C.: An expository note on individual risk without aggregate uncertainty. J. Econ. Theory35, 26–32 (1985)
Glosten, L., Milgrom, P.: Bid, ask and transactions prices in a specialist market with heterogeneously informed traders. J. Financial Econ.14, 71–100 (1985)
Hindy, A.: Essays in financial economics. Doctoral Dissertation, Massachusetts Institute of Technology 1990
Jovanovic, B., Rosenthal, R.: Anonymous sequential games. J. Math. Econ.17, 77–87 (1988)
Kyle, A.: Continuous auctions and insider trading. Econometrica53, 1315–1335 (1985)
Milgrom, P.: Good news and bad news: representation theorems and applications. Bell J. Econ.12, 380–391 (1981a)
Milgrom, P.: Rational expectations, information acquisition and competitive bidding.Econometrica 49, 921–944 (1981b)
Milgrom, P., Stokey, N.: Information, trade and common knowledge. J. Econ. Theory26, 17–27 (1982)
Satterthwaite, M., Williams, S.: Bilateral trade with the sealed-bid double auction: existence and efficiency. J. Econ. Theory48, 107–133 (1989)
Tarski, A.: A lattice-theoretic fixpoint theorem and its applications. Pacific J. Math.5, 285–309 (1955).
Tauchen, G., Pitts, M.: The price-variability volume relationship on speculative markets.Econometrica 51, 485–505 (1983)
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I am thankful for useful comments made by Avraham Beja, James Gammil, Chi-fu Huang, David Scharfstein and three anonymous referees. Financial support from Stanford Graduate School Faculty Fellowship is gratefully acknowledged.
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Hindy, A. Dynamic price formation in a futures market via double auctions. Econ Theory 4, 539–560 (1994). https://doi.org/10.1007/BF01213623
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DOI: https://doi.org/10.1007/BF01213623