4 Social Interactions
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The Logic of Costly Punishment Reversed: Expropriation of Free-Riders and Outsiders∗,†
The logic of costly punishment reversed: expropriation of free-riders and outsiders∗ ,† David Hugh-Jones Carlo Perroni University of East Anglia University of Warwick and CAGE January 5, 2017 Abstract Current literature views the punishment of free-riders as an under-supplied pub- lic good, carried out by individuals at a cost to themselves. It need not be so: often, free-riders’ property can be forcibly appropriated by a coordinated group. This power makes punishment profitable, but it can also be abused. It is easier to contain abuses, and focus group punishment on free-riders, in societies where coordinated expropriation is harder. Our theory explains why public goods are un- dersupplied in heterogenous communities: because groups target minorities instead of free-riders. In our laboratory experiment, outcomes were more efficient when coordination was more difficult, while outgroup members were targeted more than ingroup members, and reacted differently to punishment. KEY WORDS: Cooperation, costly punishment, group coercion, heterogeneity JEL CLASSIFICATION: H1, H4, N4, D02 ∗We are grateful to CAGE and NIBS grant ES/K002201/1 for financial support. We would like to thank Mark Harrison, Francesco Guala, Diego Gambetta, David Skarbek, participants at conferences and presentations including EPCS, IMEBESS, SAET and ESA, and two anonymous reviewers for their comments. †Comments and correspondence should be addressed to David Hugh-Jones, School of Economics, University of East Anglia, [email protected] 1 Introduction Deterring free-riding is a central element of social order. Most students of collective action believe that punishing free-riders is costly to the punisher, but benefits the community as a whole. -
Recency, Records and Recaps: Learning and Non-Equilibrium Behavior in a Simple Decision Problem*
Recency, Records and Recaps: Learning and Non-equilibrium Behavior in a Simple Decision Problem* DREW FUDENBERG, Harvard University ALEXANDER PEYSAKHOVICH, Facebook Nash equilibrium takes optimization as a primitive, but suboptimal behavior can persist in simple stochastic decision problems. This has motivated the development of other equilibrium concepts such as cursed equilibrium and behavioral equilibrium. We experimentally study a simple adverse selection (or “lemons”) problem and find that learning models that heavily discount past information (i.e. display recency bias) explain patterns of behavior better than Nash, cursed or behavioral equilibrium. Providing counterfactual information or a record of past outcomes does little to aid convergence to optimal strategies, but providing sample averages (“recaps”) gets individuals most of the way to optimality. Thus recency effects are not solely due to limited memory but stem from some other form of cognitive constraints. Our results show the importance of going beyond static optimization and incorporating features of human learning into economic models. Categories & Subject Descriptors: J.4 [Social and Behavioral Sciences] Economics Author Keywords & Phrases: Learning, behavioral economics, recency, equilibrium concepts 1. INTRODUCTION Understanding when repeat experience can lead individuals to optimal behavior is crucial for the success of game theory and behavioral economics. Equilibrium analysis assumes all individuals choose optimal strategies while much research in behavioral economics -
Public Goods Agreements with Other-Regarding Preferences
NBER WORKING PAPER SERIES PUBLIC GOODS AGREEMENTS WITH OTHER-REGARDING PREFERENCES Charles D. Kolstad Working Paper 17017 http://www.nber.org/papers/w17017 NATIONAL BUREAU OF ECONOMIC RESEARCH 1050 Massachusetts Avenue Cambridge, MA 02138 May 2011 Department of Economics and Bren School, University of California, Santa Barbara; Resources for the Future; and NBER. Comments from Werner Güth, Kaj Thomsson and Philipp Wichardt and discussions with Gary Charness and Michael Finus have been appreciated. Outstanding research assistance from Trevor O’Grady and Adam Wright is gratefully acknowledged. Funding from the University of California Center for Energy and Environmental Economics (UCE3) is also acknowledged and appreciated. The views expressed herein are those of the author and do not necessarily reflect the views of the National Bureau of Economic Research. NBER working papers are circulated for discussion and comment purposes. They have not been peer- reviewed or been subject to the review by the NBER Board of Directors that accompanies official NBER publications. © 2011 by Charles D. Kolstad. All rights reserved. Short sections of text, not to exceed two paragraphs, may be quoted without explicit permission provided that full credit, including © notice, is given to the source. Public Goods Agreements with Other-Regarding Preferences Charles D. Kolstad NBER Working Paper No. 17017 May 2011, Revised June 2012 JEL No. D03,H4,H41,Q5 ABSTRACT Why cooperation occurs when noncooperation appears to be individually rational has been an issue in economics for at least a half century. In the 1960’s and 1970’s the context was cooperation in the prisoner’s dilemma game; in the 1980’s concern shifted to voluntary provision of public goods; in the 1990’s, the literature on coalition formation for public goods provision emerged, in the context of coalitions to provide transboundary pollution abatement. -
The Impact of Beliefs on Effort in Telecommuting Teams
The impact of beliefs on effort in telecommuting teams E. Glenn Dutcher, Krista Jabs Saral Working Papers in Economics and Statistics 2012-22 University of Innsbruck http://eeecon.uibk.ac.at/ University of Innsbruck Working Papers in Economics and Statistics The series is jointly edited and published by - Department of Economics - Department of Public Finance - Department of Statistics Contact Address: University of Innsbruck Department of Public Finance Universitaetsstrasse 15 A-6020 Innsbruck Austria Tel: + 43 512 507 7171 Fax: + 43 512 507 2970 E-mail: [email protected] The most recent version of all working papers can be downloaded at http://eeecon.uibk.ac.at/wopec/ For a list of recent papers see the backpages of this paper. The Impact of Beliefs on E¤ort in Telecommuting Teams E. Glenn Dutchery Krista Jabs Saralz February 2014 Abstract The use of telecommuting policies remains controversial for many employers because of the perceived opportunity for shirking outside of the traditional workplace; a problem that is potentially exacerbated if employees work in teams. Using a controlled experiment, where individuals work in teams with varying numbers of telecommuters, we test how telecommut- ing a¤ects the e¤ort choice of workers. We …nd that di¤erences in productivity within the team do not result from shirking by telecommuters; rather, changes in e¤ort result from an individual’s belief about the productivity of their teammates. In line with stereotypes, a high proportion of both telecommuting and non-telecommuting participants believed their telecommuting partners were less productive. Consequently, lower expectations of partner productivity resulted in lower e¤ort when individuals were partnered with telecommuters. -
Stability and Median Rationalizability for Aggregate Matchings
games Article Stability and Median Rationalizability for Aggregate Matchings Federico Echenique 1, SangMok Lee 2, Matthew Shum 1 and M. Bumin Yenmez 3,* 1 Division of the Humanities and Social Sciences, California Institute of Technology, Pasadena, CA 91125, USA; [email protected] (F.E.); [email protected] (M.S.) 2 Department of Economics, Washington University in St. Louis, St. Louis, MO 63130, USA; [email protected] 3 Department of Economics, Boston College, Chestnut Hill, MA 02467, USA * Correspondence: [email protected] Abstract: We develop the theory of stability for aggregate matchings used in empirical studies and establish fundamental properties of stable matchings including the result that the set of stable matchings is a non-empty, complete, and distributive lattice. Aggregate matchings are relevant as matching data in revealed preference theory. We present a result on rationalizing a matching data as the median stable matching. Keywords: aggregate matching; median stable matching; rationalizability; lattice 1. Introduction Following the seminal work of [1], an extensive literature has developed regarding matching markets with non-transferable utility. This literature assumes that there are agent-specific preferences, and studies the existence of stable matchings in which each Citation: Echenique, F.; Lee, S.; agent prefers her assigned partner to the outside option of being unmatched, and there Shum, M.; Yenmez, M.B. Stability and are no pairs of agents that would like to match with each other rather than keeping their Median Rationalizability for assigned partners. Aggregate Matchings. Games 2021, 12, In this paper, we develop the theory of stability for aggregate matchings, which we 33. -
Rationalizable Implementation of Correspondences∗
Rationalizable Implementation of Correspondences∗ Takashi Kunimotoyand Roberto Serranoz This Version: May 2016 Abstract We come close to characterizing the class of social choice correspon- dences that are implementable in rationalizable strategies. We identify a new condition, which we call set-monotonicity, and show that it is necessary and almost sufficient for rationalizable implementation. Set-monotonicity is much weaker than Maskin monotonicity, which is the key condition for Nash implementation and which also had been shown to be necessary for rationalizable implementation of social choice functions. Set-monotonicity reduces to Maskin monotonicity in the case of functions. We conclude that the conditions for rationalizable implementation are not only starkly differ- ent from, but also much weaker than those for Nash implementation, when we consider social choice correspondences. JEL Classification: C72, D78, D82. Keywords: Complete information, implementation, Maskin monotonicity, rationalizability, set-monotonicity, social choice correspondence. 1 Introduction The design of institutions to be used by rational agents has been an important research agenda in economic theory. As captured by the notion of Nash equilib- rium, rationality is encapsulated in two aspects: these are (i) the best responses of agents to their beliefs, and (ii) that those beliefs are correct, the so-called rational ∗Financial support from the Japan Society for the Promotion of Science (24330078, 25780128) (Kunimoto) is gratefully acknowledged. All remaining errors are our own. ySchool of Economics, Singapore Management University, 90 Stamford Road, Singapore 178903; [email protected] zDepartment of Economics, Brown University, Providence, RI 02912, U.S.A.; roberto [email protected] 1 expectations assumption. One can drop the latter and retain the former, moving then into the realm of rationalizability. -
Noisy Directional Learning and the Logit Equilibrium*
CSE: AR SJOE 011 Scand. J. of Economics 106(*), *–*, 2004 DOI: 10.1111/j.1467-9442.2004.000376.x Noisy Directional Learning and the Logit Equilibrium* Simon P. Anderson University of Virginia, Charlottesville, VA 22903-3328, USA [email protected] Jacob K. Goeree California Institute of Technology, Pasadena, CA 91125, USA [email protected] Charles A. Holt University of Virginia, Charlottesville, VA 22903-3328, USA [email protected] PROOF Abstract We specify a dynamic model in which agents adjust their decisions toward higher payoffs, subject to normal error. This process generates a probability distribution of players’ decisions that evolves over time according to the Fokker–Planck equation. The dynamic process is stable for all potential games, a class of payoff structures that includes several widely studied games. In equilibrium, the distributions that determine expected payoffs correspond to the distributions that arise from the logit function applied to those expected payoffs. This ‘‘logit equilibrium’’ forms a stochastic generalization of the Nash equilibrium and provides a possible explanation of anomalous laboratory data. ECTED Keywords: Bounded rationality; noisy directional learning; Fokker–Planck equation; potential games; logit equilibrium JEL classification: C62; C73 I. Introduction Small errors and shocks may have offsetting effects in some economic con- texts, in which case there is not much to be gained from an explicit analysis of stochasticNCORR elements. In other contexts, a small amount of randomness can * We gratefully acknowledge financial support from the National Science Foundation (SBR- 9818683U and SBR-0094800), the Alfred P. Sloan Foundation and the Dutch National Science Foundation (NWO-VICI 453.03.606). -
Section 3-Dynamic Gamesand Intellectual Property
ECON 522 - SECTION 3-DYNAMIC GAMES AND INTELLECTUAL PROPERTY I Dynamic Games Dynamic games are just like static games, except players move sequentially rather than simulta- neously. The definition of Nash equilibrium is still the same (everyone is playing a best response), but now we can end up with NE that don’t make a lot of sense. In the example from class, a start up firm has to choose “enter” or “do not enter,” and the incumbent firm must choose to “fight” or “accommodate.” However, we end up with a strange NE in which the new firm chooses not to enter and the incumbent chooses fight, even though the first firm should figure that a rational incumbent firm would never actually fight should the first firm enter the market. Thus we intro- duced the idea of sequential rationality: everyone believes everyone will behave rationally at every point in time. This leads to a “refinement” of Nash equilibrium, which we call subgame perfect equilibrium (SPE), which is just a NE in which everyone is behaving sequentially rationally. We solve these games using backwards induction, which just means we start from the end of the game and see what choices people would make if they ever reach those end situations, and we work our way back up to the beginning. You can use this method to solve a lot of strategic interactive games, such as tic-tac-toe, or checkers. I.1 Back to a static game- the Public Goods Game from class p Setup: There are 100 people with identical preferences represented by: u = 10 X − x, where X is the total amount of money (including what that individual contributes) donated for a public park, and x is the amount donated by the individual. -
Success Rates in Simplified Threshold Public Goods Games - a Theoretical Model
Success rates in simplified threshold public goods games - a theoretical model by Christian Feige No. 70 | JUNE 2015 WORKING PAPER SERIES IN ECONOMICS KIT – University of the State of Baden-Wuerttemberg and National Laboratory of the Helmholtz Association econpapers.wiwi.kit.edu Impressum Karlsruher Institut für Technologie (KIT) Fakultät für Wirtschaftswissenschaften Institut für Volkswirtschaftslehre (ECON) Schlossbezirk 12 76131 Karlsruhe KIT – Universität des Landes Baden-Württemberg und nationales Forschungszentrum in der Helmholtz-Gemeinschaft Working Paper Series in Economics No. 70, June 2015 ISSN 2190-9806 econpapers.wiwi.kit.edu Success rates in simplied threshold public goods games a theoretical model Christian Feigea,¦ aKarlsruhe Institute of Technology (KIT), Institute of Economics (ECON), Neuer Zirkel 3, 76131 Karlsruhe, Germany Abstract This paper develops a theoretical model based on theories of equilibrium selection in order to predict success rates in threshold public goods games, i.e., the probability with which a group of players provides enough contri- bution in sum to exceed a predened threshold value. For this purpose, a prototypical version of a threshold public goods game is simplied to a 2 ¢ 2 normal-form game. The simplied game consists of only one focal pure strat- egy for positive contributions aiming at an ecient allocation of the threshold value. The game's second pure strategy, zero contributions, represents a safe choice for players who do not want to risk coordination failure. By calculat- ing the stability sets of these two pure strategies, success rates can be put in explicit relation to the game parameters. It is also argued that this approach has similarities with determining the relative size of the strategies' basins of attraction in a stochastic dynamical system (cf. -
Public Goods Games and Psychological Utility: Theory and Evidence
School of Business Economics Division Public goods games and psychological utility: Theory and evidence Sanjit Dhami, University of Leicester Mengxing Wei, University of Leicester Ali al-Nowaihi, University of Leicester Working Paper No. 16/17 Public goods games and psychological utility: Theory and evidence. Sanjit Dhami Mengxing Weiy Ali al-Nowaihiz 10 November 2016 Abstract We consider a public goods game which incorporates guilt-aversion/surprise- seeking and the attribution of intentions behind these emotions (Battigalli and Dufwenberg, 2007; Khalmetski et al., 2015). We implement the induced beliefs method (Ellingsen et al., 2010) and a within-subjects design using the strategy method. Previous studies mainly use dictator games - whose results may not be robust to adding strategic components. We find that guilt-aversion is far more im- portant than surprise-seeking; and that the attribution of intentions behind guilt- aversion/surprise-seeking is important. Our between-subjects analysis confirms the results of the within-subjects design. Keywords: Public goods games; psychological game theory; surprise-seeking/guilt- aversion; attribution of intentions; induced beliefs method; strategy method; within- subjects design. JEL Classification: D01 (Microeconomic Behavior: Underlying Principles); D03 (Be- havioral Microeconomics: Underlying Principles); H41 (Public Goods). Corresponding author. Division of Economics, School of Business, University of Leicester, Uni- versity Road, Leicester. LE1 7RH, UK. Phone: +44-116-2522086. Fax: +44-116-2522908. E-mail: [email protected]. yDivision of Economics, School of Business, University of Leicester, University Road, Leicester, LE1 7RH. Fax: +44-116-2522908. Email: [email protected] zDivision of Economics, School of Business, University of Leicester, University Road, Leicester. -
Evolutionary Dynamics in the Public Goods Games with Switching
CHAOS 28, 103105 (2018) Evolutionary dynamics in the public goods games with switching between punishment and exclusion Linjie Liu,1 Shengxian Wang,1 Xiaojie Chen,1,a) and Matjaž Perc2,b) 1School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu 611731, China 2Faculty of Natural Sciences and Mathematics, University of Maribor, Koroška cesta 160, SI-2000 Maribor, Slovenia; Complexity Science Hub Vienna, Josefstädterstraße 39, A-1080 Vienna, Austria (Received 8 August 2018; accepted 23 September 2018; published online 9 October 2018) Pro-social punishment and exclusion are common means to elevate the level of cooperation among unrelated individuals. Indeed, it is worth pointing out that the combined use of these two strategies is quite common across human societies. However, it is still not known how a combined strategy where punishment and exclusion are switched can promote cooperation from the theoretical perspective. In this paper, we thus propose two different switching strategies, namely, peer switching that is based on peer punishment and peer exclusion, and pool switching that is based on pool punishment and pool exclusion. Individuals adopting the switching strategy will punish defectors when their numbers are below a threshold and exclude them otherwise. We study how the two switching strategies influence the evolutionary dynamics in the public goods game. We show that an intermediate value of the threshold leads to a stable coexistence of cooperators, defectors, and players adopting the switching strategy in a well-mixed population, and this regardless of whether the pool-based or the peer-based switching strategy is introduced. Moreover, we show that the pure exclusion strategy alone is able to evoke a limit cycle attractor in the evolutionary dynamics, such that cooperation can coexist with other strategies. -
Solution Concepts in Cooperative Game Theory
1 A. Stolwijk Solution Concepts in Cooperative Game Theory Master’s Thesis, defended on October 12, 2010 Thesis Advisor: dr. F.M. Spieksma Mathematisch Instituut, Universiteit Leiden 2 Contents 1 Introduction 7 1.1 BackgroundandAims ................................. 7 1.2 Outline .......................................... 8 2 The Model: Some Basic Concepts 9 2.1 CharacteristicFunction .............................. ... 9 2.2 Solution Space: Transferable and Non-Transferable Utilities . .......... 11 2.3 EquivalencebetweenGames. ... 12 2.4 PropertiesofSolutions............................... ... 14 3 Comparing Imputations 15 3.1 StrongDomination................................... 15 3.1.1 Properties of Strong Domination . 17 3.2 WeakDomination .................................... 19 3.2.1 Properties of Weak Domination . 20 3.3 DualDomination..................................... 22 3.3.1 Properties of Dual Domination . 23 4 The Core 25 4.1 TheCore ......................................... 25 4.2 TheDualCore ...................................... 27 4.2.1 ComparingtheCorewiththeDualCore. 29 4.2.2 Strong ǫ-Core................................... 30 5 Nash Equilibria 33 5.1 Strict Nash Equilibria . 33 5.2 Weak Nash Equilibria . 36 3 4 CONTENTS 6 Stable Sets 39 6.1 DefinitionofStableSets ............................... .. 39 6.2 Stability in A′ ....................................... 40 6.3 ConstructionofStronglyStableSets . ...... 41 6.3.1 Explanation of the Strongly Stable Set: The Standard of Behavior in the 3-personzero-sumgame ............................