Mathematicians From The United States

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April 10, 2026

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April 10, 2026

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"There’s a famous Churchill quote: “democracy is the worst form of government, except for all the others.” That applies to regulation as well. In the late 1800s, we had a natural monopoly: railroads. The government created a regulatory enterprise – the Interstate Commerce Commission – and of course it was captured. But it still made a difference. I think we just have to accept that capture does occur, but it’s limited. The Federal Trade Commission, for example, is a pretty active body. Monopolies have been broken up. The AT&T telephone monopoly was broken up in 1982 – Stigler was still writing about regulatory capture then. AT&T was a classic monopoly, but a pretty benevolent one. It delivered good service – rates were too high, but not by that much. It didn’t necessarily pass on value to the consumers, but Bell Labs were a source of great innovative function. Nevertheless, it was broken up by antitrust measures, brought on by government. So there is regulatory capture, but it is by no means complete. Regulations do play a role. One example of non-regulatory capture fighting against effective regulation was during the run-up to the 2008 crash, when several officials argued for CDOs to be regulated, which means they would have had to meet certain requirements of transparency. This was not accepted. I’m not saying the crash could have been avoided if that happened, but that would have made a big difference."

- Kenneth Arrow

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"Any argument seeking to establish the presence of irrational economic behavior always meets a standard counterargument: if most agents are irrational, then a rational individual can make a lot of money; eventually, therefore, the rational individuals will take over all the wealth. Hence, rational behavior will be the effective norm. There are two rebuttals to the counterargument. (1) Not all arbitrage possibilities exist. For example, corporate profits, even though they may be down, are very distinctly positive in real terms after all necessary adjustments, including taxes. Yet there seems no way by which the average investor in corporate securities can get a positive real rate of return. (2) More important, if everyone else is “irrational,” it by no means follows that one can make money by being rational, at least in the short run. With discounting, even eventual success may not be worthwhile. Consider, for example, a firm that engages in research and development which depresses the current profit and loss statement. Irrational investors look only at this information, and therefore the price of the stock is below the expected value of future dividends based on the profitable outcomes of the research and development. In a perfectly working market with rational individuals, stock prices would gradually rise as the realization date approached, but prices in the actual market would be constant. A rational investor would understand the future value of the stocks, but he or she could not realize any part of this gain during the gestation period. Although the rational investor may get rewarded eventually if the stock is held long enough, he or she is losing liquidity during an intervening period which may be long. Hence, the demand for the stock even by the rational buyers will be depressed. As Keynes argued long ago, the value of a security depends in good measure on other people’s opinions."

- Kenneth Arrow

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"Ironically, the current conservative model explaining the supposed association of capitalism and democracy relates to the Marxist as a photographic negative to a positive. It too suggests that the political “superstructure” is determined by the “relations of production.” The conservative model contrasts the dispersion of power under capitalist democracy with its concentration under socialism. Political opposition requires resources. The multiplicity of capitalists implies that any dissenting voice can find some support. Under socialism, the argument goes, the controlling political faction can deny its opponents all resources and dismiss them from their employment. This theoretical argument presupposes a monolithic state. It is something of a chicken-and-egg proposition. If the democratic legal tradition is strong, there are many sources of power in a modern state. Adding economic control functions may only increase the diversity of interests within the state and therefore alternative sources of power. It is notoriously harder for the government to regulate its own agencies than private firms. Socialism may easily offer as much pluralism as capitalism. The overpowering force in all these arguments is the empirical evidence of the Soviet Union and the other Communist countries, and it is strong. But the contrary proposition, that capitalism is a positive safeguard for democracy, is hardly a reasonable inference from experience. The example of Nazi Germany shows that no amount of private enterprise prevents the rise of totalitarianism. Indeed, it is hard to see that capitalism formed a significant impediment. Nor is Nazi Germany unique; Fascist Italy, Franco’s Spain, and the recurrent Latin American dictatorships are illustrative counterexamples to the proposition that capitalism implies democracy."

- Kenneth Arrow

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