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1.

図書

図書
Jeffrey S. Banks
出版情報: London ; New York : Routledge, 2016, c1991  viii, 90 p. ; 21 cm
シリーズ名: Fundamentals of pure and applied economics ; v. 46 . Political science and economics section
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2.

図書

図書
Steven Tadelis
出版情報: Princeton : Princeton University Press, c2013  xv, 396 p. ; 26 cm
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Preface
Rational Decision Making / Part I:
The Single-Person Decision Problem / Chapter 1:
Actions, Outcomes, and Preferences / 1.1:
Preference Relations / 1.1.1:
Payoff Functions / 1.1.2:
The Rational Choice Paradigm / 1.2:
Summary / 1.3:
Exercises / 1.4:
Introducing Uncertainty and Time / Chapter 2:
Risk, Nature, and Random Outcomes / 2.1:
Finite Outcomes and Simple Lotteries / 2.1.1:
Simple versus Compound Lotteries / 2.1.2:
Lotteries over Continuous Outcomes / 2.1.3:
Evaluating Random Outcomes / 2.2:
Expected Payoff: The Finite Case / 2.2.1:
Expected Payoff: The Continuous Case / 2.2.2:
Caveat: It's Not Just the Order Anymore / 2.2.3:
Risk Attitudes / 2.2.4:
The St. Petersburg Paradox / 2.2.5:
Rational Decision Making with Uncertainty / 2.3:
Rationality Revisited / 2.3.1:
Maximizing Expected Payoffs / 2.3.2:
Decisions over Time / 2.4:
Backward Induction / 2.4.1:
Discounting Future Payoffs / 2.4.2:
Applications / 2.5:
The Value of Information / 2.5.1:
Discounted Future Consumption / 2.5.2:
Theory versus Practice / 2.6:
Static Games of Complete Information / 2.7:
Preliminaries / Chapter 3:
Normal-Form Games with Pure Strategies / 3.1:
Example: The Prisoner's Dilemma / 3.1.1:
Example: Cournot Duopoly / 3.1.2:
Example: Voting on a New Agenda / 3.1.3:
Matrix Representation: Two-Player Finite Game / 3.2:
Example: Rock-Paper-Scissors / 3.2.1:
Solution Concepts / 3.3:
Assumptions and Setup / 3.3.1:
Evaluating Solution Concepts / 3.3.2:
Evaluating Outcomes / 3.3.3:
Rationality and Common Knowledge / 3.4:
Dominance in Pure Strategies / 4.1:
Dominated Strategies / 4.1.1:
Dominant Strategy Equilibrium / 4.1.2:
Evaluating Dominant Strategy Equilibrium / 4.1.3:
Iterated Elimination of Strictly Dominated Pure Strategies / 4.2:
Iterated Elimination and Common Knowledge of Rationality / 4.2.1:
Evaluating IESDS / 4.2.2:
Beliefs, Best Response, and Rationalizability / 4.3:
The Best Response / 4.3.1:
Beliefs and Best-Response Correspondences / 4.3.2:
Rationalizability / 4.3.3:
The Cournot Duopoly Revisited / 4.3.4:
The "p-Beauty Contest" / 4.3.5:
Evaluating Rationalizability / 4.3.6:
Pinning Down Beliefs: Nash Equilibrium / 4.4:
Nash Equilibrium in Pure Strategies / 5.1:
Pure-Strategy Nash Equilibrium in a Matrix / 5.1.1:
Evaluating the Nash Equilibria Solution / 5.1.2:
Nash Equilibrium: Some Classic Applications / 5.2:
Two Kinds of Societies / 5.2.1:
The Tragedy of the Commons / 5.2.2:
Coumot Duopoly / 5.2.3:
Bertrand Duopoly / 5.2.4:
Political Ideology and Electoral Competition / 5.2.5:
Mixed Strategies / 5.3:
Strategies, Beliefs, and Expected Payoffs / 6.1:
Finite Strategy Sets / 6.1.1:
Continuous Strategy Sets / 6.1.2:
Beliefs and Mixed Strategies / 6.1.3:
Expected Payoffs / 6.1.4:
Mixed-Strategy Nash Equilibrium / 6.2:
Example: Matching Pennies / 6.2.1:
Multiple Equilibria: Pure and Mixed / 6.2.2:
IESDS and Rationalizability Revisited / 6.3:
Nash's Existence Theorem / 6.4:
Dynamic Games of Complete Information / 6.5:
The Extensive-Form Game / Chapter 7:
Game Trees / 7.1.1:
Imperfect versus Perfect Information / 7.1.2:
Strategies and Nash Equilibrium / 7.2:
Pure Strategies / 7.2.1:
Mixed versus Behavioral Strategies / 7.2.2:
Normal-Form Representation of Extensive-Form Games / 7.2.3:
Nash Equilibrium and Paths of Play / 7.3:
Credibility and Sequential Rationality / 7.4:
Sequential Rationality and Backward Induction / 8.1:
Subgame-Perfect Nash Equilibrium: Concept / 8.2:
Subgame-Perfect Nash Equilibrium: Examples / 8.3:
The Centipede Game / 8.3.1:
Stackelberg Competition / 8.3.2:
Mutually Assured Destruction / 8.3.3:
Time-Inconsistent Preferences / 8.3.4:
Multistage Games / 8.4:
Payoffs / 9.1:
Strategies and Conditional Play / 9.3:
Subgame-Perfect Equilibria / 9.4:
The One-Stage Deviation Principle / 9.5:
Repeated Games / 9.6:
Finitely Repeated Games / 10.1:
Infinitely Repeated Games / 10.2:
Strategies / 10.2.1:
Application: Tacit Collusion / 10.3:
Sequential Interaction and Reputation / 10.5:
Cooperation as Reputation / 10.5.1:
Third-Party Institutions as Reputation Mechanisms / 10.5.2:
Reputation Transfers without Third Parties / 10.5.3:
The Folk Theorem: Almost Anything Goes / 10.6:
Strategic Bargaining / 10.7:
One Round of Bargaining: The Ultimatum Game / 11.1:
Finitely Many Rounds of Bargaining / 11.2:
The Infinite-Horizon Game / 11.3:
Application: Legislative Bargaining / 11.4:
Closed-Rule Bargaining / 11.4.1:
Open-Rule Bargaining / 11.4.2:
Static Games of Incomplete Information / 11.5:
Bayesian Games / Chapter 12:
Strategic Representation of Bayesian Games / 12.1:
Players, Actions, Information, and Preferences / 12.1.1:
Deriving Posteriors from a Common Prior: A Player's Beliefs / 12.1.2:
Strategies and Bayesian Nash Equilibrium / 12.1.3:
Examples / 12.2:
Teenagers and the Game of Chicken / 12.2.1:
Study Groups / 12.2.2:
Inefficient Trade and Adverse Selection / 12.3:
Committee Voting / 12.4:
Mixed Strategies Revisited: Harsanyi's Interpretation / 12.5:
Auctions and Competitive Bidding / 12.6:
Independent Private Values / 13.1:
Second-Price Sealed-Bid Auctions / 13.1.1:
English Auctions / 13.1.2:
First-Price Sealed-Bid and Dutch Auctions / 13.1.3:
Revenue Equivalence / 13.1.4:
Common Values and the Winner's Curse / 13.2:
Mechanism Design / 13.3:
Setup: Mechanisms as Bayesian Games / 14.1:
The Players / 14.1.1:
The Mechanism Designer / 14.1.2:
The Mechanism Game / 14.1.3:
The Revelation Principle / 14.2:
Dominant Strategies and Vickrey-Clarke-Groves Mechanisms / 14.3:
Dominant Strategy Implementation / 14.3.1:
Vickrey-Clarke-Groves Mechanisms / 14.3.2:
Dynamic Games of Incomplete Information / 14.4:
Sequential Rationality with Incomplete Information / Chapter 15:
The Problem with Subgame Perfection / 15.1:
Perfect Bayesian Equilibrium / 15.2:
Sequential Equilibrium / 15.3:
Signaling Games / 15.4:
Education Signaling: The MBA Game / 16.1:
Limit Pricing and Entry Deterrence / 16.2:
Separating Equilibria / 16.2.1:
Pooling Equilibria / 16.2.2:
Refinements of Perfect Bayesian Equilibrium in Signaling Games / 16.3:
Building a Reputation / 16.4:
Cooperation in a Finitely Repeated Prisoner's Dilemma / 17.1:
Driving a Tough Bargain / 17.2:
A Reputation for Being "Nice" / 17.3:
Information Transmission and Cheap Talk / 17.4:
Information Transmission: A Finite Example / 18.1:
Information Transmission: The Continuous Case / 18.2:
Application: Information and Legislative Organization / 18.3:
Mathematical Appendix / 18.4:
Sets and Sequences / 19.1:
Basic Definitions / 19.1.1:
Basic Set Operations / 19.1.2:
Functions / 19.2:
Continuity / 19.2.1:
Calculus and Optimization / 19.3:
Differentiation and Optimization / 19.3.1:
Integration / 19.3.3:
Probability and Random Variables / 19.4:
Cumulative Distribution and Density Functions / 19.4.1:
Independence, Conditional Probability, and Bayes' Rule / 19.4.3:
Expected Values / 19.4.4:
References
Index
Preface
Rational Decision Making / Part I:
The Single-Person Decision Problem / Chapter 1:
3.

図書

図書
Vassili N. Kolokoltsov [and] Oleg A. Malafeyev
出版情報: Singapore ; London : World Scientific, c2010  xiv, 286 p. ; 24 cm
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Preface
Basic ideas
Around the prisoner's dilemma / 1:
What is a two-player game? / 1.1:
Prisoner's dilemma. Dominated strategies and Pareto optimality / 1.2:
Prisoner's dilemma for crooks, warriors and opera lovers / 1.3:
Discrete duopoly models and common pool resources; public goods / 1.4:
Common knowledge, rationality and iterated elimination of strictly dominated strategies / 1.5:
Weak dominance; debtors and creditors / 1.6:
Nash equilibrium / 1.7:
Battle of the sexes and Kant's categorical imperative / 1.8:
Chicken game and the Cuban missile crisis / 1.9:
Social dilemmas / 1.10:
Guaranteed payoff, minimax strategy, hedge / 1.11:
Utility function / 1.12:
General objectives of game theory; Pascal's wager / 1.13:
Auctions and networks / 2:
Several players; the volunteers' dilemma / 2.1:
An example on iterated elimination of dominated strategies / 2.2:
Second price and increasing bid auctions / 2.3:
Escalating conflicts / 2.4:
Braess paradox / 2.5:
Wardrop equilibria and selfish routing / 2.6:
Wise men and businessmen / 3:
Wise men and their wives; imp in the bottle / 3.1:
King Solomon's wisdom / 3.2:
Chain store paradox; centipede game / 3.3:
Normal and extensive forms of a game; battle of the sexes revisited / 3.4:
Dynamic games and subgame perfection; pursuit games / 3.5:
Fair division and the ultimatum game / 3.6:
Cooperation by threat and punishment; infinitely repeated games / 3.7:
Computer tournaments; the triumph of the strategy Tit-for-Tat / 3.8:
Logical games; limits of the sequences / 3.9:
Russian Roulette; games with incomplete information / 3.10:
Hawk and doves, lions and lambs / 4:
Fitness and stability in population biology (general ideas) / 4.1:
Hawk and Dove games as social dilemmas / 4.2:
Mixed strategies, probability and chance / 4.3:
The theorems of Nash and von Neumann / 4.4:
Expectation and risk; St. Petersburg game / 4.5:
Symmetric mixed strategies Nash equilibria / 4.6:
Invasion of mutants and evolutionary stable strategies / 4.7:
The sex ratio game / 4.8:
Coalitions and distribution / 5:
Distribution of costs and gains; the core of the game / 5.1:
General principles of fair distribution / 5.2:
Utilitarianism and egalitarianism; compromise set / 5.3:
Equilibrium priced / 5.4:
Linear models and linear programming / 5.5:
Presidents and dictators / 6:
Collective choice; problems of voting / 6.1:
Four examples of voting rules / 6.2:
Criteria of quality of voting rules / 6.3:
The minority principle; dictators / 6.4:
At the doors of quantum games / 7:
Quantum bits and Schrödinger's cat / 7.1:
Lattices and quantum logic / 7.2:
Rendezvous of Bob and Alice / 7.3:
It's party time! / 8:
Combinatorial games / 8.1:
Addition and subtraction of games, order structure / 8.2:
Impartial games and Nim numbers / 8.3:
Games as numbers and numbers as games / 8.4:
Armed with mathematics
A rapid course in mathematical game theory / 9:
Three classical examples of Nash equilibria in economics / 9.1:
Mixed strategies for finite games / 9.2:
Evolutionary stable strategies / 9.3:
Replicator dynamics, Nash's fields and stability / 9.4:
Iterative method of solving matrix games / 9.5:
Zero-sum games and linear programming / 9.6:
Backward induction and dynamic programming / 9.7:
Cooperative games: Nucleus and the Shapley vector / 9.8:
Revision exercises / 9.9:
Solutions to revision exercises / 9.10:
Examples of game models / 10:
A static model of strategic investment / 10.1:
Variations Cournot's theme: Territorial price building / 10.2:
Models of inspection / 10.3:
A dynamic model of strategic investments / 10.4:
Game theoretic approach to the analysis of colored (or rainbow) options / 10.5:
Elements of more advanced analysis / 11:
Short overview / 11.1:
Two proofs of the Nash-Gliksberg theorem on the existence of equilibria / 11.2:
Introduction to structural stability / 11.3:
Introduction to abstract differential games / 11.4:
Cooperative games versus zero-sum games / 11.5:
Turnpikes for stochastic games / 11.6:
Games and tropical (or idempotent) mathematics / 11.7:
The first order partial differential equations in multi-criteria optimization problems / 11.8:
General flows of deterministic and stochastic replicator dynamics / 11.9:
Bibliography
Index
Preface
Basic ideas
Around the prisoner's dilemma / 1:
4.

図書

図書
Itzhak Gilboa
出版情報: Cambridge, Mass. ; London : MIT Press, c2010  xviii, 158 p. ; 24 cm
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Complete Table of Contents
Preface
Suggested Reading
Optimization / I:
Feasibility and Desirability / 1:
Examples / 1.1:
Separating Can from Want / 1.2:
What Is Meant by Rational? / 1.3:
Uncertainty / 1.4:
Zen and the Absurd / 1.5:
On Theories and Paradigms / 1.6:
Utility Maximization / 2:
Example / 2.1:
Two Points / 2.2:
Interpretations / 2.3:
Measurement Issues / 2.4:
Utility and Disutility / 2.5:
Constrained Optimization / 3:
General Framework / 3.1:
Example: The Consumer Problem / 3.2:
Marginality Principle / 3.3:
Risk and Uncertainty / II:
Expected Utility / 4:
Expected Value Maximization / 4.1:
Expected Utility Maximization / 4.3:
Elicitation of Utility / 4.4:
From Simple to Complex / 4.5:
Probability and Statistics / 5:
What Is Probability? / 5.1:
Relative Frequencies as Objective Probabilities / 5.2:
Subjective Probabilities / 5.3:
Statistical Pitfalls / 5.4:
Group Choices / III:
Aggregation of Preferences / 6:
Summation of Utilities / 6.1:
Condorcet's Paradox / 6.2:
Impossibility Theorems / 6.3:
Pareto Optimality/Efficiency / 6.4:
Limitations of Pareto Optimality / 6.5:
Games and Equilibria / 7:
Prisoner's Dilemma / 7.1:
Nash Equilibria / 7.2:
Equilibrium Selection / 7.3:
The Power of Commitment / 7.4:
Common Knowledge / 7.5:
Extensive Form Games / 7.6:
Perfectness and Credible Threats / 7.7:
Free Markets / 8:
Example: The Case for Globalization / 8.1:
The First Welfare Theorem / 8.2:
Limitations of Free Markets / 8.3:
Rationality and Emotions / 8.4:
Evolutionary View of Emotions / 9:
Utility and Well-Being / 10:
Money Isn't Happiness / 10.1:
Qualifications / 10.2:
Epilogue
Notes
Index
Online Appendixes
Table of Contents and Downloadable PDFs
Complete Table of Contents
Preface
Suggested Reading
5.

図書

図書
Joel Watson
出版情報: New York : W.W. Norton, c2013  xv, 491 p. ; 23-24 cm
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6.

図書

図書
Scott Gehlbach
出版情報: New York : Cambridge University Press, 2013  xvi, 228 p. ; 23 cm
シリーズ名: Analytical methods for social research
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Electoral competition under certainty / 1:
Electoral competition under uncertainty / 2:
Special interest / 3:
Veto players / 4:
Delegation / 5:
Coalitions / 6:
Political agency / 7:
Regime change / 8:
Electoral competition under certainty / 1:
Electoral competition under uncertainty / 2:
Special interest / 3:
7.

図書

図書
Deng-Feng Li
出版情報: Heidelberg : Springer, c2014  xxi, 444 p. ; 25 cm
シリーズ名: Studies in fuzziness and soft computing ; 308
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8.

図書

図書
Avinash Dixit, Susan Skeath, David Reiley
出版情報: New York : W.W. Norton, c2015  xxii, 732 p. ; 26 cm
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9.

図書

図書
Roger A. McCain
出版情報: Singapore : World Scientific, c2014  viii, 590 p. ; 24 cm
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10.

図書

図書
Hans Peters
出版情報: Berlin : Springer, c2015  xvii, 494 p. ; 25 cm
シリーズ名: Springer texts in business and economics
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