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## Mini-twistor theory on three-dimensional space forms

*Paul Baird and John C. Wood*

### in Harmonic Morphisms Between Riemannian Manifolds

- Published in print:
- 2003
- Published Online:
- September 2007
- ISBN:
- 9780198503620
- eISBN:
- 9780191708435
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198503620.003.0006
- Subject:
- Mathematics, Pure Mathematics

This chapter discusses harmonic morphisms from 3-manifolds to surfaces, especially those of constant curvature. First, the local behaviour is considered, showing that the foliation given by its ... More

## Game Theory: Basic Concepts

*Herbert Gintis*

### in The Bounds of Reason: Game Theory and the Unification of the Behavioral Sciences

- Published in print:
- 2014
- Published Online:
- October 2017
- ISBN:
- 9780691160849
- eISBN:
- 9781400851348
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691160849.003.0002
- Subject:
- Sociology, Economic Sociology

This chapter deals with the basic concepts of game theory. It presents the formulations for the extensive form, normal form, and Nash equilibrium. It concludes with a brief discussion of correlated ... More

## Games and Misdemeanors: Game Theory for the Uninitiated

*Kaushik Basu*

### in Prelude to Political Economy: A Study of the Social and Political Foundations of Economics

- Published in print:
- 2000
- Published Online:
- November 2003
- ISBN:
- 9780198296713
- eISBN:
- 9780191595943
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/0198296711.003.0002
- Subject:
- Economics and Finance, Microeconomics

This chapter presents a primer on game theory. It provides an overview of its origins and its establishment as an essential methodological tool for economists. It describes the game of Hex, ... More

## Rationalizability and Common Knowledge of Rationality

*Herbert Gintis*

### in The Bounds of Reason: Game Theory and the Unification of the Behavioral Sciences

- Published in print:
- 2014
- Published Online:
- October 2017
- ISBN:
- 9780691160849
- eISBN:
- 9781400851348
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691160849.003.0004
- Subject:
- Sociology, Economic Sociology

This chapter deals with the implications of rationality in normal form games. It first explores the ramifications of the rationalizability assumption and shows that in many cases rational individuals ... More

## Axiomatizations of the Propositional Calculus

*A. N. Prior*

### in Formal Logic

- Published in print:
- 1963
- Published Online:
- October 2011
- ISBN:
- 9780198241560
- eISBN:
- 9780191680373
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198241560.003.0002
- Subject:
- Philosophy, Logic/Philosophy of Mathematics

The laws that arise in the logic of truth-functions can be set out as a series of theorems derived from a small set of axioms. This chapter shows how this can be done. The first section discusses the ... More

## Calculus of Propositions

*S. N. Afriat*

### in Logic of Choice and Economic Theory

- Published in print:
- 1987
- Published Online:
- November 2003
- ISBN:
- 9780198284611
- eISBN:
- 9780191595844
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/0198284616.003.0029
- Subject:
- Economics and Finance, Microeconomics

This is the first of three chapters on general mathematics as applied to economics, and presents a treatment of the calculus of propositions. The seven sections of the chapter are: the Boolean laws; ... More

## Acts of Mathematical Creation

*Paul Erickson*

### in The World the Game theorists Made

- Published in print:
- 2015
- Published Online:
- May 2016
- ISBN:
- 9780226097039
- eISBN:
- 9780226097206
- Item type:
- chapter

- Publisher:
- University of Chicago Press
- DOI:
- 10.7208/chicago/9780226097206.003.0002
- Subject:
- History, History of Science, Technology, and Medicine

Despite the ex post facto identification of a number of “anticipations” of game-theoretic results through history, it is generally agreed that modern game theory’s founding work was mathematician ... More

## Quantal Response Equilibrium in Normal-Form Games

*Jacob K. Goeree, Charles A. Holt, and Thomas R. Palfrey*

### in Quantal Response Equilibrium: A Stochastic Theory of Games

- Published in print:
- 2016
- Published Online:
- January 2018
- ISBN:
- 9780691124230
- eISBN:
- 9781400880928
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691124230.003.0002
- Subject:
- Economics and Finance, History of Economic Thought

This chapter lays out the general theory of quantal response equilibrium (QRE) for normal-form games. It starts with the reduced-form approach to QR, based on the direct specification of “regular” ... More

## Wright-Fisher Geometry

*Charles L. Epstein and Rafe1 Mazzeo*

### in Degenerate Diffusion Operators Arising in Population Biology (AM-185)

- Published in print:
- 2013
- Published Online:
- October 2017
- ISBN:
- 9780691157122
- eISBN:
- 9781400846108
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691157122.003.0002
- Subject:
- Mathematics, Probability / Statistics

This chapter introduces the geometric preliminaries needed to analyze generalized Kimura diffusions, with particular emphasis on Wright–Fisher geometry. It begins with a discussion of the natural ... More

## Planning Ahead

*Ken Binmore*

### in Playing for Real Coursepack Edition: A Text on Game Theory

- Published in print:
- 2012
- Published Online:
- April 2015
- ISBN:
- 9780199924530
- eISBN:
- 9780190261399
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:osobl/9780199924530.003.0005
- Subject:
- Economics and Finance, Microeconomics

This chapter discusses and joins together the ideas of extensive and strategic forms of a game. Von Neumann and Morgenstern invented both the extensive and the strategic forms of a game. The latter ... More

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