Recursion-breaking an object down into smaller objects of the same typeis a ma- jor theme in mathematics and computer science. For example, in an induction proof we establish the truth of a statement()from the truth of the statement P(n-1). In pro- gramming, a recursive algorithm solves a problem by applying itself to smaller instances

Related Information 1. 1. Opinion polls A survey of porential voters to determine their mood and attempt to determine the outcome of the election. Opinion polls started to play a part in American polities in the 1930s when the Gallup poll predicted the election of President Roosevelt in 1936

AARON COHEN Professor Emeritus of Mechanical Engineering Texas A&M University Professor Aaron Cohen received a B.S. degree in Mechanical Engineering from Texas A&M University in 1952 and an M.S. degree in Applied Mathematics from Stevens

The vast majority of games of interest in economics, finance, political economy etc. involve some form of payoff uncertainty. A simple but interesting example is provided by auctions: an object is offered for sale, and individuals are required to submit their bids in sealed envelopes. The object is then allocated to the highest bidder at a price which depends on every bid, according to some prespecified rule (e.g. \first-price\ or \second-price\rule). In

Introduction Nash equilibrium has undoubtedly proved to be the most influential idea in game theory. enabled fundamental breakthroughs in economics and the social sciences. Its development was a major intellectual achievement; what is perhaps more important, it Recent foundational research has emphasized the subtleties in the interpretation of Nash

United Nations Criminal Justice Information Network The United Nations Criminal Justice Information Network (UNCJIN)was created in 1989 pursuant to Economic and Social Council resolution 1986/11 of 21 May 1986, in which the Secretary-General was invited to establish, in cooperation with the United Nations institutes and other entities concerned, a global crime and criminal justice information network, including a mechanism for the centralizatio of inputs from non-

Chapter One Introduction Heat: Heat is a kind of energy, Which occurs in the transfer process. (the transferred energy contains the orderly work and disorderly heat) Energy: Concept of energy is used to specify the state of a system in thermodynamics Heat Transfer: kind of application science, is concerned with analysis of the rate of heat transfer taking place in system, or with the research on the heat-transfer reqularity

“The best things in life are free. . . ” Free goods provide a special challenge for economic analysis Most goods in our economy are allocated in markets… …for these goods, prices are the signals that guide the decisions of buyers and sellers

Where Are W e Doing in This Chapter? After modeling consumers' choice set and his preference (represented by utility functions), we now put them together and model how he/she makes optimal choice. In mathematical terms, this is constrained maximization problem; In economics, this is rational choice problem

2.1 The postulate In 1864, James Clerk Maxwell proposed one of the most successful theories in the history of science. In a famous memoir to the Royal Society [125] he presented nine equations summarizing all known laws on electricity and magnetism. This was more than a mere cataloging of the laws of nature. By postulating the need for an additional term to make the set of equations self-consistent