Results for 'subgame perfect equilibrium'

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  1.  22
    Subgame Perfect Equilibrium in the Rubinstein Bargaining Game with Loss Aversion.Zhongwei Feng & Chunqiao Tan - 2019 - Complexity 2019:1-23.
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  2.  44
    Veto players and equilibrium uniqueness in the Baron–Ferejohn model.Levent Celik & Bilgehan Karabay - 2016 - Theory and Decision 81 (1):33-52.
    In political economy, the seminal contribution of the Baron–Ferejohn bargaining model constitutes an important milestone for the study of legislative policy making. In this paper, we analyze a particular equilibrium characteristic of this model, equilibrium uniqueness. The Baron–Ferejohn model yields a class of payoff-unique stationary subgame perfect equilibria in which players’ equilibrium strategies are not uniquely determined. We first provide a formal proof of the multiplicity of equilibrium strategies. This also enables us to establish (...)
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  3.  89
    Common Knowledge of Rationality in Extensive Games.Boudewijn de Bruin - 2008 - Notre Dame Journal of Formal Logic 49 (3):261-280.
    We develop a logical system that captures two different interpretations of what extensive games model, and we apply this to a long-standing debate in game theory between those who defend the claim that common knowledge of rationality leads to backward induction or subgame perfect (Nash) equilibria and those who reject this claim. We show that a defense of the claim à la Aumann (1995) rests on a conception of extensive game playing as a one-shot event in combination with (...)
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  4.  99
    Implementing equal division with an ultimatum threat.Esat Doruk Cetemen & Emin Karagözoğlu - 2014 - Theory and Decision 77 (2):223-236.
    We modify the payment rule of the standard divide the dollar (DD) game by introducing a second stage and thereby resolve the multiplicity problem and implement equal division of the dollar in equilibrium. In the standard DD game, if the sum of players’ demands is less than or equal to a dollar, each player receives what he demanded; if the sum of demands is greater than a dollar, all players receive zero. We modify this second part, which involves a (...)
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  5.  53
    On Stackelberg mixed strategies.Vincent Conitzer - 2016 - Synthese 193 (3):689-703.
    It is sometimes the case that one solution concept in game theory is equivalent to applying another solution concept to a modified version of the game. In such cases, does it make sense to study the former separately, or should we entirely subordinate it to the latter? The answer probably depends on the particular circumstances, and indeed the literature takes different approaches in different cases. In this article, I consider the specific example of Stackelberg mixed strategies. I argue that, even (...)
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  6. An Extensive Game as a Guide for Solving a Normal Game.Jacob Glazer & Ariel Rubinstein - unknown
    We show that for solvable games, the calculation of the strategies which survive iterative elimination of dominated strategies in normal games is equivalent to the calculation of the backward induction outcome of some extensive game. However, whereas the normal game form does not provide information on how to carry out the elimination, the corresponding extensive game does. As a by-product, we conclude that implementation using a subgame perfect equilibrium of an extensive game with perfect information is (...)
     
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  7.  17
    A strategic justification of the constrained equal awards rule through a procedurally fair multilateral bargaining game.Makoto Hagiwara & Shunsuke Hanato - 2020 - Theory and Decision 90 (2):233-243.
    We propose a new game to strategically justify the constrained equal awards rule in claims problems. Our game is “procedurally fair” and “multilateral”. In addition, even if claimants cannot reach an agreement in any period, they can renegotiate in the next period. We show that, for each claims problem, the awards vector chosen by the constrained equal awards rule achieved at period 1 is the unique subgame perfect equilibrium outcome of the game.
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  8.  91
    Using turn taking to achieve intertemporal cooperation and symmetry in infinitely repeated 2 × 2 games.Sau-Him Paul Lau & Vai-Lam Mui - 2012 - Theory and Decision 72 (2):167-188.
    Turn taking is observed in many field and laboratory settings captured by various widely studied 2 × 2 games. This article develops a repeated game model that allows us to systematically investigate turn-taking behavior in many 2 × 2 games, including the battle of the sexes, the game of chicken, the game of common-pool-resources assignment, and a particular version of the prisoners’ dilemma. We consider the “turn taking with independent randomizations” (TTIR) strategy that achieves three objectives: (a) helping the players (...)
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  9.  8
    Spatial bargaining in rectilinear facility location problem.Kazuo Yamaguchi - 2021 - Theory and Decision 93 (1):69-104.
    We consider a spatial bargaining model where players collectively choose a facility location on a two-dimensional rectilinear distance space through bargaining using the unanimity rule. We show that as players become infinitely patient, their stationary subgame perfect equilibrium utilities converge to the utilities that satisfy the lexicographic maximin utility criterion introduced by Sen.
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  10.  76
    Dynamic Choice Mechanisms.Ludwig von Auer - 1999 - Theory and Decision 46 (3):295-312.
    A dynamic choice mechanism (e.g. sophisticated choice) is a rule transforming a sequence of orderings into actual choices. The dynamic choice literature analysing such rules is restricted to the case of strict preferences. The present paper allows also for weak preferences. This generalisation is necessary since in dynamic utility models decision makers are typically endowed with orderings which can be represented by continuous utility functions. Such a representation, however, requires the orderings to be a weak ordering. In the presence of (...)
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  11.  14
    Hart–Mas-Colell implementation of the discounted Shapley value.Tomohiko Kawamori - 2016 - Theory and Decision 81 (3):357-369.
    We consider an implementation of the discounted Shapley value. We modify the Hart–Mas-Colell model such that each player discounts future payoffs and proposes not only an allocation, but also a coalition. We show that the discounted Shapley value is supported by each stationary subgame perfect equilibrium of the modified game such that in each subgame, the coalition that consists of all active players immediately forms. We also provide conditions for such a stationary subgame perfect (...)
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  12.  82
    The Favorite-Longshot Bias in Sequential Parimutuel Betting with Non-Expected Utility Players.Frédéric Koessler, Anthony Ziegelmeyer & Marie-Hélène Broihanne - 2003 - Theory and Decision 54 (3):231-248.
    This paper analyzes a model of sequential parimutuel betting described as a two-horse race with a finite number of noise bettors and a finite number of strategic and symmetrically informed bettors. For generic objective probabilities that the favorite wins the race, a unique subgame perfect equilibrium is characterized. Additionally, two explanations for the favorite–longshot bias—according to which favorites win more often than the market's estimate of their winning chances imply—are offered. It is shown that this robust anomalous (...)
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  13.  44
    A Note on Implementation of Bargaining Solutions.Yusuke Samejima - 2005 - Theory and Decision 59 (3):175-191.
    Miyagawa (Games and Economics Behavior 41(2), 292–308 [2002]) provides a simple extensive game form that implements a large class of two-agent bargaining solutions in subgame-perfect equilibrium. This class includes all of the Nash, Kalai–Smorodinsky, and relative utilitarian solutions. This note extends Miyagawa’s result to multi-agent bargaining problems.
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  14.  13
    Bargaining for assembly.Soumendu Sarkar & Dhritiman Gupta - 2023 - Theory and Decision 95 (2):229-254.
    We study a multilateral bargaining problem, where the buyer intends to purchase a subset of available items, each owned by a seller. The subset purchased must satisfy a notion of contiguity, which is modeled using graphs. The graph theoretic approach allows us to study different degrees of complementarity and substitutability between items. It also allows us to examine how degrees of complementarity and substitutability affect the share of surplus obtained by the buyer in the equilibrium of the bargaining game. (...)
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  15.  9
    Games with possibly naive present-biased players.Marco A. Haan & Dominic Hauck - 2023 - Theory and Decision 95 (2):173-203.
    We propose a solution concept for games that are played among players with present-biased preferences that are possibly naive about their own, or about their opponent’s future time inconsistency. Our perception-perfect outcome essentially requires each player to take an action consistent with the subgame perfect equilibrium, given her perceptions concerning future types, and under the assumption that other present and future players have the same perceptions. Applications include a common pool problem and Rubinstein bargaining. When players (...)
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  16.  14
    Folk theorems in a bargaining game with endogenous protocol.Shiran Rachmilevitch - 2019 - Theory and Decision 86 (3-4):389-399.
    Two players bargain to select a utility allocation in some set X⊂R+2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$X\subset {\mathbb {R}}_+^2$$\end{document}. Bargaining takes place in infinite discrete time, where each period t is divided into two sub-periods. In the first sub-period, the players play a simultaneous-move game to determine that period’s proposer, and bargaining takes place in the second sub-period. Rejection triggers a one-period delay and move to t+1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$t+1$$\end{document}. For (...)
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  17.  50
    Multistage Game Models and Delay Supergames.Reinhard Selten - 1998 - Theory and Decision 44 (1):1-36.
    The order of stages in a multistage game is often interpreted by looking at earlier stages as involving more long term decisions. For the purpose of making this interpretation precise, the notion of a delay supergame of a bounded multistage game is introduced. A multistage game is bounded if the length of play has an upper bound. A delay supergame is played over many periods. Decisions on all stages are made simultaneously, but with different delays until they become effective. The (...)
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  18.  37
    Alternating-Offer Bargaining and Common Knowledge of Rationality.Vincent J. Vannetelbosch - 1999 - Theory and Decision 47 (2):111-138.
    This paper reconsiders Rubinstein's alternating-offer bargaining game with complete information. We define rationalizability and trembling- hand rationalizability (THR) for multi-stage games with observed actions. We show that rationalizability does not exclude perpetual disagreement or delay, but that THR implies a unique solution. Moreover, this unique solution is the unique subgame perfect equilibrium (SPE). Also, we reconsider an extension of Rubinstein's game where a smallest money unit is introduced: THR rules out the non-uniqueness of SPE in some particular (...)
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  19.  28
    Implementing egalitarianism in a class of Nash demand games.Emin Karagözoğlu & Shiran Rachmilevitch - 2018 - Theory and Decision 85 (3-4):495-508.
    We add a stage to Nash’s demand game by allowing the greedier player to revise his demand if the demands are not jointly feasible. If he decides to stick to his initial demand, then the game ends and no one receives anything. If he decides to revise it down to 1-x\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$1-x$$\end{document}, where x is his initial demand, the revised demand is implemented with certainty. The implementation probability changes linearly between these two (...)
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  20. An extensive game as a guide for solving a normal game.Ariel Rubinstein - manuscript
    We show that for solvable games, the calculation of the strategies which survive iterative elimination of dominated strategies in normal games is equivalent to the calculation of the backward induction outcome of some extensive game. However, whereas the normal game form does not provide information on how to carry out the elimination, the corresponding extensive game does. As a by-product, we conclude that implementation using a subgame perfect equilibrium of an extensive game with perfect information is (...)
     
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  21.  97
    Finite Alternating-Move Arbitration Schemes and the Equal Area Solution.Nejat Anbarci - 2006 - Theory and Decision 61 (1):21-50.
    We start by considering the Alternate Strike (AS) scheme, a real-life arbitration scheme where two parties select an arbitrator by alternately crossing off at each round one name from a given panel of arbitrators. We find out that the AS scheme is not invariant to “bad” alternatives. We then consider another alternating-move scheme, the Voting by Alternating Offers and Vetoes (VAOV) scheme, which is invariant to bad alternatives. We fully characterize the subgame perfect equilibrium outcome sets of (...)
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  22.  33
    Backward induction: Merits and flaws.Marek M. Kamiński - 2017 - Studies in Logic, Grammar and Rhetoric 50 (1):9-24.
    Backward induction was one of the earliest methods developed for solving finite sequential games with perfect information. It proved to be especially useful in the context of Tom Schelling’s ideas of credible versus incredible threats. BI can be also extended to solve complex games that include an infinite number of actions or an infinite number of periods. However, some more complex empirical or experimental predictions remain dramatically at odds with theoretical predictions obtained by BI. The primary example of such (...)
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  23.  71
    Externalities in a Bargaining Model of Public Price Announcements and Resale.Maarten Cornet - 2000 - Theory and Decision 49 (4):375-393.
    We study the one-seller/two-buyer bargaining problem with negative identity-dependent externalities with an alternating offer bargaining model in which new owners of the object have the opportunity of resale. We identify the generically unique subgame perfect equilibrium outcome. The resale opportunity increases the competition among the buyers and therefore benefits the seller. When competition between buyers is very fierce, the seller may prefer to respond to bids rather than to propose an offer herself: a first-mover disadvantage.
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  24.  88
    Rational beliefs in extensive games.Giacomo Bonanno - 1992 - Theory and Decision 33 (2):153-176.
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  25.  16
    Axiomatization and implementation of a class of solidarity values for TU-games.Sylvain Béal, Eric Rémila & Philippe Solal - 2017 - Theory and Decision 83 (1):61-94.
    A new class of values combining marginalistic and egalitarian principles is introduced for cooperative TU-games. It includes some modes of solidarity among the players by taking the collective contribution of some coalitions to the grand coalition into account. Relationships with other class of values such as the Egalitarian Shapley values and the Procedural values are discussed. We propose a strategic implementation of our class of values in subgame perfect Nash equilibrium. Two axiomatic characterizations are provided: one of (...)
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  26. In Defense of Moderate Envy.Bernd Lahno - 2000 - Analyse & Kritik 22 (1):98-113.
    In contrast to Axelrod’s advice “don’t be envious” it is argued that the emotion of envy may enhance cooperation. TIT FOR TAT does exhibit a certain degree of envy. But, it does so in inconsistent ways. Two variants of TIT FOR TAT are introduced and their strategic properties are analyzed. Both generate the very same actual play as TIT FOR TAT in a computer tournament without noise. However, if noise is introduced they display some greater degree of stability. This is (...)
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  27. Trust and Strategic Rationality.Bernd Lahno - 1995 - Rationality and Society 7 (4):442-464.
    The extent to which trust prevails can be measured by the subjective probability with which an agent expects another one to act in desired ways. An agent´s trust in other agents forms in repeated social interactions which typically have the structure of an elementary game of trust. The process of trust formation in such interactions may be described by a reputation function. It is argued that in view of real world processes of trust formation any adequate reputation function must satisfy (...)
     
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  28.  8
    Progressive stopping heuristics that excel in individual and competitive sequential search.Amnon Rapoport, Darryl A. Seale & Leonidas Spiliopoulos - 2022 - Theory and Decision 94 (1):135-165.
    We study the performance of heuristics relative to the performance of optimal solutions in the rich domain of sequential search, where the decision to stop the search depends only on the applicant’s relative rank. Considering multiple variants of the secretary problem, that vary from one another in their formulation and method of solution, we find that descriptive heuristics perform well only when the optimal solution prescribes a single threshold value. We show that a computational heuristic originally proposed as an approximate (...)
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  29. Reputation and Patience in the 'War of Attrition'.Ariel Rubinstein - unknown
    The paper presents an approach to selecting among the many subgame-perfect equilibria that exist in a standard concession game with complete information. We extend the description of a game to include a specific 'irrational' (mixed) strategy for each player. Depending on the irrational strategies chosen, we demonstrate that this approach may select a unique equilibrium in which the weaker player concedes immediately. A player is weaker either if he is more impatient or if his irrational strategy is (...)
     
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  30.  78
    Modern and postmodern challenges to game theory.Yanis Varoufakis - 1993 - Erkenntnis 38 (3):371 - 404.
    Equilibrium game theory borrows from neoclassical economics its rationality concept which it immediately puts to work in order to produce the basic results it needs for building an elaborate narrative of social interaction. This paper focuses on some recent objections to game theory's use of rationality assumptions in general, and of backward induction and subgame perfection in particular, and interprets them in the light of the postmodern critique of the grand meta-narratives which social theorists often rely on for (...)
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  31. Reexamination of the Perfectness Concept for Equilibrium Points in Extensive Games.Reinhard Selten - 1975 - International Journal of Game Theory 4:25-55.
     
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  32.  73
    On Stalnaker's Notion of Strong Rationalizability and Nash Equilibrium in Perfect Information Games.Giacomo Bonanno & Klaus Nehring - 1998 - Theory and Decision 45 (3):291-295.
    Counterexamples to two results by Stalnaker (Theory and Decision, 1994) are given and a corrected version of one of the two results is proved. Stalnaker's proposed results are: (1) if at the true state of an epistemic model of a perfect information game there is common belief in the rationality of every player and common belief that no player has false beliefs (he calls this joint condition ‘strong rationalizability’), then the true (or actual) strategy profile is path equivalent to (...)
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  33. Nash Equilibrium with Lower Probabilities.Ebbe Groes, Hans Jørgen Jacobsen, Birgitte Sloth & Torben Tranaes - 1998 - Theory and Decision 44 (1):37-66.
    We generalize the concept of Nash equilibrium in mixed strategies for strategic form games to allow for ambiguity in the players' expectations. In contrast to other contributions, we model ambiguity by means of so-called lower probability measures or belief functions, which makes it possible to distinguish between a player's assessment of ambiguity and his attitude towards ambiguity. We also generalize the concept of trembling hand perfect equilibrium. Finally, we demonstrate that for certain attitudes towards ambiguity it is (...)
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  34.  11
    Optimal equilibrium contracts in the infinite horizon with no commitment across periods.Subir K. Chakrabarti & Jaesoo Kim - 2022 - Theory and Decision 94 (3):379-404.
    The paper studies equilibrium contracts under adverse selection when there is repeated interaction between a principal and an agent over an infinite horizon, without commitment across periods. We show the second-best contract is offered in a perfect Bayesian equilibrium of the infinite horizon model. Unlike the equilibrium contracts in the finite-horizon, the equilibrium contracts in the infinite horizon are not subject to either the ratchet effect or take-the-money-and-run strategy, but rely on a carrot and stick (...)
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  35.  38
    Causality and independence in perfectly adapted dynamical systems.Joris M. Mooij & Tineke Blom - 2023 - Journal of Causal Inference 11 (1).
    Perfect adaptation in a dynamical system is the phenomenon that one or more variables have an initial transient response to a persistent change in an external stimulus but revert to their original value as the system converges to equilibrium. With the help of the causal ordering algorithm, one can construct graphical representations of dynamical systems that represent the causal relations between the variables and the conditional independences in the equilibrium distribution. We apply these tools to formulate sufficient (...)
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  36. Gaming Prediction Markets: Equilibrium Strategies with a Market Maker.Yiling Chen, Rahul Sami & Daniel M. Reeves - unknown
    We study the equilibrium behavior of informed traders interacting with market scoring rule (MSR) market makers. One attractive feature of MSR is that it is myopically incentive compatible: it is optimal for traders to report their true beliefs about the likelihood of an event outcome provided that they ignore the impact of their reports on the profit they might garner from future trades. In this paper, we analyze non-myopic strategies and examine what information structures lead to truthful betting by (...)
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  37.  3
    Strategic Foundations of General Equilibrium: Dynamic Matching and Bargaining Games.Douglas Gale - 2000 - Cambridge University Press.
    The theory of competition has held a central place in economic analysis since Adam Smith. This book, written by one of the most distinguished of contemporary economic theorists, reports on a major research program to provide strategic foundations for the theory of perfect competition. Beginning with a concise survey of how the theory of competition has evolved, Gale makes extensive and rigorous use of dynamic matching and bargaining models to provide a more complete description of how a competitive equlibrium (...)
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  38.  61
    Are Game Theoretic Concepts Suitable Negotiation Support Tools? From Nash Equilibrium Refinements toward a Cognitive Concept of Rationality.Bertrand R. Munier - 1993 - Theory and Decision 34 (3):235.
  39.  20
    Ideology and neoclassical thought: Perfect competence as original myth.Manuel Antonio Jiménez-Castillo - 2016 - Cinta de Moebio 55:96-105.
    The purpose of this paper aims to unravel the ideological strategy that rises from the well-celebrated epistemic rigor of neoclassical economic thought. From the Economics Nobel Price Paul Krugman’s popularized connotation naming to "freshwater" economists as those fervent followers of the most orthodox academic creed, we will expose the logical inconsistency and empirical implausibility of such thought’s underlying assumptions: perfect competence and equilibrium’s approaching. From a critical analysis that will be conducted from each of those mentioned assumptions, we (...)
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  40.  83
    The Logic of Rational Play in Games of Perfect Information.Giacomo Bonanno - 1991 - Economics and Philosophy 7 (1):37-65.
    For the past 20 years or so the literature on noncooperative games has been centered on the search for an equilibrium concept that expresses the notion of rational behavior in interactive situations. A basic tenet in this literature is that if a “rational solution” exists, it must be a Nash equilibrium. The consensus view, however, is that not all Nash equilibria can be accepted as rational solutions. Consider, for example, the game of Figure 1.
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  41. Chapter Five Process, Parturition, and Perfect Love: Diotima's Rather Non-Platonic Metaphysic of Eros Donald Wayne Viney.Perfect Love - 2007 - In Thomas Jay Oord (ed.), The Many Facets of Love: Philosophical Explorations. Cambridge Scholars Press. pp. 41.
  42. Studies of localized modes by spin-lattice relaxation measurements.Raman Scattering of Phonons In Perfect - 1968 - In Peter Koestenbaum (ed.), Proceedings. [San Jose? Calif.,: [San Jose? Calif..
     
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  43.  23
    The tip-of-the-tongue phenomenon: Do experimenter-presented interlopers have any effect?Timothy J. Perfect & J. Richard Hanley - 1992 - Cognition 45 (1):55-75.
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  44.  31
    Anatomy of forest-related corruption in Tanzania: theoretical perspectives, empirical explanations, and policy implications.Joseph Perfect-Mrema - 2017 - Journal of Global Ethics 13 (2):221-240.
    The majority of studies on natural resources management in both developed and developing countries are silent on the issue of analysis of corruption – or they treat it tangentially, as an annoying anomaly, or simply deviance from the rules. As a result, the issue has hardly been subjected to in-depth characterisation or reforms. This study employed and integrated mainstream principal-agent theory and more recently developed collective action theory to enhance our understanding – in different but complementary ways − of the (...)
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  45.  14
    Models of Cognitive Aging.Timothy J. Perfect & Elizabeth A. Maylor (eds.) - 2000 - Oxford University Press UK.
    We live in an ageing society, where people are living longer, and where decreases in the birth rate mean that the proportion of the population above retirement age is steadily increasing. An ageing population has considerable implications for health services and care provision. Consequently there is a growing interest among researchers, medical practitioners, and policy makers in older adults, their capabilities, and the changes in their cognitive functioning. This book offers an up-to-the-minute account of the latest methodological and theoretical issues (...)
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  46. The Astonishing Life of Octavian Nothing - Traitor to the Nation Volume One: The Pox Party [Book Review].Lauren Perfect - 2009 - Agora (History Teachers' Association of Victoria) 44 (4):73.
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  47.  22
    Feeling-of-knowing judgments do not predict subsequent recognition performance for eyewitness memory.Timothy J. Perfect & Tara S. Hollins - 1999 - Journal of Experimental Psychology: Applied 5 (3):250.
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  48.  4
    De interpretatione. Aristotle & The Perfect Library - 1969 - Bergamo,: Minerva italica. Edited by Antiseri, Dario & [From Old Catalog].
    "De interpretatione" from Aristoteles. Aristotle (384-322 BCE) was a Greek philosopher born in Greece.
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  49.  31
    Visual distraction during word-list retrieval does not consistently disrupt memory.Pamela J. L. Rae & Timothy J. Perfect - 2014 - Frontiers in Psychology 5.
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  50.  2
    De unitate intellectus contra Averroistas.Thomas Aquinas & The Perfect The Perfect Library - 1936 - Romae,: apud aedes Pont. universitatis gregorianae. Edited by Leo William Keeler.
    "De unitate intellectus contra Averroistas" from Thomas Aquinas. Thomas Aquinas (1225-1274), sanctus, doctor Ecclesiae catholicae, theologus italianus et philosophus mediaevalis.
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