Question: Irving Fisher (February 27, 1867 - April 29, 1947) was an American economist, statistician, inventor, and Progressive social campaigner. He was one of the earliest American neoclassical economists, though his later work on debt deflation has been embraced by the Post-Keynesian school. Joseph Schumpeter described him as "the greatest economist the United States has ever produced", an assessment later repeated by James Tobin and Milton Friedman. Fisher made important contributions to utility theory and general equilibrium.

James Tobin argued that the intellectual breakthroughs that marked the neoclassical revolution in economics occurred in Europe around 1870. The next two decades witnessed lively debates, which led to the new theory being more or less incorporated into the classical tradition that preceded it. In the 1890s, according to Joseph A. Schumpeter there emerged A large expanse of common ground and ... a feeling of repose, both of which created, in the superficial observer, an impression of finality - the finality of a Greek temple that spreads its perfect lines against a cloudless sky. Of course, Tobin argues, the temple was by no means complete. Its building and decoration continue to this day, even while its faithful throngs worship within. American economists were not present at the creation. To a considerable extent they built their own edifice independently, designing some new architecture in the process. They participated actively in the international controversies and syntheses of the period 1870-1914. At least two Americans were prominent builders of the "temple," John Bates Clark and Irving Fisher. They and others brought neoclassical theory into American journals, classrooms, and textbooks, and its analytical tools into the kits of researchers and practitioners. Eventually, for better or worse, their paradigm would dominate economic science in this country. In reviewing the history of utility theory, economist George Stigler wrote that Fisher's doctoral thesis had been "brilliant" and stressed that it contained "the first careful examination of the measurability of the utility function and its relevance to demand theory." While his published work exhibited an unusual degree of mathematical sophistication for an economist of his day, Fisher always sought to bring his analysis to life and to present his theories as lucidly as possible. For instance, to complement the arguments in his doctoral thesis, he built an elaborate hydraulic machine with pumps and levers, allowing him to demonstrate visually how the equilibrium prices in the market adjusted in response to changes in supply or demand.

Using a quote from the above article, answer the following question: How was this theory implemented?
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Question: Francisco Pizarro was born in Trujillo, Caceres, Spain (then in the Crown of Castile) in modern-day Extremadura, Spain. He was the illegitimate son of infantry colonel Gonzalo Pizarro (1446-1522) and Francisca Gonzalez, a woman of poor means. His date of birth is uncertain, but it is believed to be sometime in the 1470s, probably 1474. Little attention was paid to his education and he grew up illiterate.

On 10 November 1509, Pizarro sailed from Spain to the New World with Alonso de Ojeda on an expedition to Uraba. He sailed to Cartagena and joined the fleet of Martin Fernandez de Enciso and, in 1513, accompanied Balboa to the Pacific. In 1514, he found a supporter in Pedro Arias Davila, the Governor of Castilla de Oro and was rewarded for his role in the arrest of Balboa with the positions of mayor and magistrate in Panama City, serving from 1519 to 1523. Reports of Peru's riches and Cortes's success in Mexico tantalized Pizarro. He undertook two expeditions to conquer the Incan Empire in 1524 and in 1526. Both failed as a result of native hostilities, bad weather and lack of provisions. Pedro de los Rios, the Governor of Panama, made an effort to recall Pizarro, but the conquistador resisted and remained in the south. In April 1528, he reached northern Peru and found the natives rich with precious metals. This discovery gave Pizarro the motivation to plan a third expedition to conquer the area. He returned to Panama to make arrangements, but the Governor refused to grant permission for the project. Pizarro returned to Spain to appeal directly to King Charles I. His plea was successful and he received not only a license for the proposed expedition, but also authority over any lands conquered during the venture. He was joined by family and friends and the expedition left Panama in 1530. When hostile natives along the coast threatened the expedition, Pizarro moved inland and founded the first Spanish settlement in Peru, San Miguel de Piura. Atahualpa refused to tolerate a Spanish presence in his lands, but was captured by Pizarro during the Battle of Cajamarca on 16 November 1532. A ransom for the emperor's release was demanded and Atahualpa filled a room with gold, but Pizarro charged him with various crimes and executed him on 26 July 1533, overriding his associates who thought he was overstepping his authority. The same year, Pizarro entered the Inca capital of Cuzco and completed his conquest of Peru. In January 1535, Pizarro founded the city of Lima, a project he considered his greatest achievement. Quarrels between Pizarro and his longtime comrade-in-arms Diego Almagro culminated in the Battle of Las Salinas. Almagro was captured and executed and, on 26 June 1541, his embittered son, Diego de Almagro "el mozo", assassinated Pizarro in Lima. The conquistador of Peru was laid to rest in the Lima Cathedral.

Using a quote from the above article, answer the following question: How long did he stay there?
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He undertook two expeditions to conquer the Incan Empire in 1524 and in 1526. Both failed as a result of native hostilities, bad weather and lack of provisions.