loss will count as a deterrent (just as the possibility of a great gain may count as an attraction) for much more than its strict actuarial value. The truth of this proposition is demonstrated by the existence of institutions more impressive than Monte Carlo--the Insurance Companies, which play so large a part in the economic life of modern times. Every year, and upon an ever-growing scale, both private individuals and business concerns pay sums of money, which reach in the aggregate a colossal sum, as premiums to insure themselves against loss by Fire, Shipwreck, Burglary, Death, Death Duties, against every risk which Insurance Companies will cover. Now Insurance Companies are not, as we say, in business for their health. They find their business profitable, and pay good dividends to their shareholders. Moreover, they incur a considerable expenditure on offices, on clerical staff, on agents, and the like. All these payments must be defrayed out of the premiums they receive; so that it is plain that the premiums greatly exceed the _expectation_ of the risks insured. The odds are heavily in favor of the Insurance Company--of that the stupidest person can have no shadow of doubt. Yet we continue to insure, as private individuals and as business men, and so far from being ashamed of our proceedings as a weak and nerveless folly, which somehow we are unable to resist, we blazon them forth in the strong accents of conscious pride. We preach insurance to our neighbors as the core of self-regarding duty, and, if ever we feel a twinge of uneasiness, it is lest we, too, may have omitted in some particular to practice what we preach. The significance of this is unmistakable. Be our psychology what it may, however deep and irrepressible our taste for derring-do, however inadequate the scope which the dull routine of modern life affords for our adventurous impulses, we are most of us anxious to avoid the risk of great financial loss. We are very glad to find someone to take it off our shoulders if we can; so glad that we are prepared to pay him for the service, to pay him a sum which covers not only the actuarial equivalent of the risk, but something substantial over and above. In this we are entirely rational. Our conduct is justified by the law of the diminishing utility of money, which was noted at the end of Chapter III. It would be plainly foolish, for instance, to substitute for the certainty of an income of $2500 per annum an even chance of $5000 or nothing, since the utility to us of $5000 is not twice as great as that of $2500.