Credits to quanticle for bringing this paper to my attention.

From the abstract:

The claim that financial markets are efficient is backed by an implicit argument that misinformed "noise traders" can have little influence on asset prices in equilibrium. If noise traders' beliefs are sufficiently different from those of rational agents to significantly affect prices, then noise traders will buy high and sell low. They will then lose money relative to rational investors and eventually be eliminated from the market. We present a simple overlapping-generations model of the stock market in which noise traders with erroneous and stochastic beliefs (a) significantly affect prices and (b) earn higher returns than do rational investors. Noise traders earn high returns because they bear a large amount of the market risk which the presence of noise traders creates in the assets that they hold: their presence raises expected returns because sophisticated investors dislike bearing the risk that noise traders may be irrationally pessimistic and push asset prices down in the future. The model we present has many properties that correspond to the "Keynesian" view of financial markets. (i) Stock prices are more volatile than can be justified on the basis of news about underlying fundamentals. (ii) A rational investor concerned about the short run may be better off guessing the guesses of others than choosing an appropriate portfolio. (iii) Asset prices diverge frequently but not permanently from average values, giving rise to patterns of mean reversion in stock and bond prices similar to those found directly by Fama and French (1987) for the stock market and to the failures of the expectations hypothesis of the term structure. (iv) Since investors in assets bear not only fundamental but also noise trader risk, the average prices of assets will be below fundamental values; one striking example of substantial divergence between market and fundamental values is the persistent discount on closed-end mutual funds, and a second example is Mehra and Prescott's (1986) finding that American equities sell for much less than the consumption capital asset pricing model would predict. (v) The more the market is dominated by short-term traders as opposed to long-term investors, the poorer is its performance as a social capital allocation mechanism. (vi) Dividend policy and capital structure can matter for the value of the firm even abstracting from tax considerations. And (vii) making assets illiquid and thus no longer subject to the whims of the market -- as is done when a firm goes private -- may enhance their value.

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More in this paper. https://www.jstor.org/stable/2937765?seq=1 Noise Trader Risk in Financial Markets.

Anyone interested in this should also read https://en.wikipedia.org/wiki/Limits_to_arbitrage

Search also for books A Random Walk Down Wall St, and A Non-Random Walk Down Wall St.

LWers in my experience tend to be a little too ready to accept the Efficient Markets Hypothesis as truth. The Ludic fallacy as Taleb calls it.

Bottom line: markets may not be quite efficient, and indeed prices can stray far from fundamentals at times, but it is still pretty hard to beat buy and forget broad indexing.

Worth noting that the paper is from 1987. (Though unclear whether the empirical results referenced in the abstract would have changed since then.)

That's a good thing to point out, though, it's also worth pointing out that Fama's papers on the efficient market hypothesis date from 1965. Neither the Efficient Market Hypothesis nor the responses to it are fresh results at this date.

Also worth pointing out is that both DeLong, et. al. and Fama's original paper long predate the recent growth of low-fee index funds.