The book presents an axiomatic approach to the problems of prediction, classification, and statistical learning. Using methodologies from axiomatic decision theory, and, in particular, the authors' case-based decision theory, the present studies attempt to ask what inductive conclusions can be derived from existing databases. It is shown that simple consistency rules lead to similarity-weighted aggregation, akin to kernel-based methods. It is suggested that the similarity function be estimated from the data. The incorporation of rule-based reasoning is discussed.

Gilboa and Schmeidler provide a new paradigm for modeling decision making under uncertainty. Case-based decision theory suggests that people make decisions by analogies to past cases: they tend to choose acts that performed well in the past in similar situations, and to avoid acts that performed poorly. The authors describe the general theory and its relationship to planning, repeated choice problems, inductive inference, and learning. They highlight its mathematical and philosophical foundations and compare it to expected utility theory as well as to rule-based systems.

Published as a tribute to the memory of Elisha Pazner, this book contains a collection of essays providing a comprehensive view of the design and evaluation of economic mechanisms, written and edited by the major contributors to the field. Amongst the topics included are bargaining theory and the economics of competitive bidding. The surveys are preceded by 'A Perspective', by Leo Hurwicz which contains a systematic account of the development of the literature on mechanism design, and this provides a context for both the surveys and the six published papers authored or co-authored by Elisha Pazner that complete the book and demonstrate Pazner's interest in and contribution to the study of economic mechanisms. Leonid Hurwitcz is the Nobel Prize Winner 2007 for The Sveriges Riksbank Prize in Economic Sciences in Memory of Alfred Nobel, along with colleagues Eric Maskin and Roger Myerson, for his work on the effectiveness of markets.

Gilboa and Schmeidler provide a new paradigm for modeling decision making under uncertainty. Case-based decision theory suggests that people make decisions by analogies to past cases: they tend to choose acts that performed well in the past in similar situations, and to avoid acts that performed poorly. The authors describe the general theory and its relationship to planning, repeated choice problems, inductive inference, and learning. They highlight its mathematical and philosophical foundations and compare it to expected utility theory as well as to rule-based systems.

Published as a tribute to the memory of Elisha Pazner, this book contains a collection of essays providing a comprehensive view of the design and evaluation of economic mechanisms, written and edited by the major contributors to the field. Amongst the topics included are bargaining theory and the economics of competitive bidding. The surveys are preceded by 'A Perspective', by Leo Hurwicz which contains a systematic account of the development of the literature on mechanism design, and this provides a context for both the surveys and the six published papers authored or co-authored by Elisha Pazner that complete the book and demonstrate Pazner's interest in and contribution to the study of economic mechanisms. Leonid Hurwitcz is the Nobel Prize Winner 2007 for The Sveriges Riksbank Prize in Economic Sciences in Memory of Alfred Nobel, along with colleagues Eric Maskin and Roger Myerson, for his work on the effectiveness of markets.

The book describes formal models of reasoning that are aimed at capturing the way that economic agents, and decision makers in general think about their environment and make predictions based on their past experience. The focus is on analogies (case-based reasoning) and general theories (rule-based reasoning), and on the interaction between them, as well as between them and Bayesian reasoning. A unified approach allows one to study the dynamics of inductive reasoning in terms of the mode of reasoning that is used to generate predictions.