Reciprocating Trust or Kindness

Similar documents
6. Bargaining. Ryan Oprea. Economics 176. University of California, Santa Barbara. 6. Bargaining. Economics 176. Extensive Form Games

Suppose Y is a random variable with probability distribution function f(y). The mathematical expectation, or expected value, E(Y) is defined as:

Class Examples (Ch. 3)

Table A.1 Variable definitions

Prisoner 2 Confess Remain Silent Confess (-5, -5) (0, -20) Remain Silent (-20, 0) (-1, -1)

Instructions [CT+PT Treatment]

The Smart Contract-Based Randomized Game, Funded With a Randomized ICO

Dominant and Dominated Strategies

Statistical Analysis of Nuel Tournaments Department of Statistics University of California, Berkeley

Fair Division Worksheet Day 3. Warm-up 1. To cut a string into 2 pieces, how many times must it be cut?

Supplementary Information for Viewing men s faces does not lead to accurate predictions of trustworthiness

Ultimatum Bargaining. James Andreoni Econ 182

Extended Abstract: Impacts of Narrative, Nurturing, and Game-Play on Health-Related. Outcomes in an Action-Adventure Health Game. Debra A.

Game theory. Logic and Decision Making Unit 2

An extended description of the project:

Land Reform in Africa: No Intervention Agreements

Presentation by Toy Designers: Max Ashley

Belief-based rational decisions. Sergei Artemov

Section Summary. Finite Probability Probabilities of Complements and Unions of Events Probabilistic Reasoning

First-Mover Advantage in Two-Sided Competitions: An Experimental Comparison of Role-Assignment Rules

Exploring Information Asymmetry in Two-Stage Security Games

At regular intervals, the team reflects on how to become more effective, then tunes and adjusts its behavior accordingly.

Dominant and Dominated Strategies

Does strategy fairness make inequality more acceptable? by Mengjie Wang*

Thank You Letters. or Snail Mail?

Game Theory. Wolfgang Frimmel. Dominance

Chapter 4. Section 4.1: Divide and Choose Methods. Next: reading homework

A Mathematical Analysis of Oregon Lottery Keno

There are several schemes that we will analyze, namely: The Knaster Inheritance Procedure. Cake-Division Procedure: Proportionality

The Last Diminisher Method Game Steps

COMPONENTS OF CREATIVITY

Multilevel Selection In-Class Activities. Accompanies the article:

The Joker Types of Sentences Review Game

Game theory attempts to mathematically. capture behavior in strategic situations, or. games, in which an individual s success in

Randomized Evaluations in Practice: Opportunities and Challenges. Kyle Murphy Policy Manager, J-PAL January 30 th, 2017

Central Bank Intervention in Large Value Payment Systems: An experimental approach

Who Should I Blame? Effects of Autonomy and Transparency on Attributions in Human-Robot Interaction

Supplementary Information for Social Environment Shapes the Speed of Cooperation

Author(s): Hope Phillips

Dominance and Best Response. player 2

Simulations. 1 The Concept

DELIVERABLE REPORT 1 DESCRIPTION OF THE TASK 2 DESCRIPTION OF DELIVERABLE 3 IMPLEMENTATION OF WORK. Project acronym: INPUT Project number:

Basic Probability Ideas. Experiment - a situation involving chance or probability that leads to results called outcomes.

Laboratory 1: Uncertainty Analysis

GAME THEORY: ANALYSIS OF STRATEGIC THINKING Exercises on Multistage Games with Chance Moves, Randomized Strategies and Asymmetric Information

Summary Overview of Topics in Econ 30200b: Decision theory: strong and weak domination by randomized strategies, domination theorem, expected utility

Data Analysis and Numerical Occurrence

Solution Concepts 4 Nash equilibrium in mixed strategies

35 Days of Encouragement

The Game of Creative Mathematics! Michele Krisher, Supervisor Trumbull County ESC

Probability - Introduction Chapter 3, part 1

Permutation and Randomization Tests 1

Review. Natural Numbers: Whole Numbers: Integers: Rational Numbers: Outline Sec Comparing Rational Numbers

period one to have external validity since we cannot apply them in our real life if it takes many periods to achieve the goal of them. In order to cop

8.6 Jonckheere-Terpstra Test for Ordered Alternatives. 6.5 Jonckheere-Terpstra Test for Ordered Alternatives

Creating Interactive Games in a Flash! Candace R. Black

(a) Left Right (b) Left Right. Up Up 5-4. Row Down 0-5 Row Down 1 2. (c) B1 B2 (d) B1 B2 A1 4, 2-5, 6 A1 3, 2 0, 1

Experimental Instructions

Spade 3 Game Design. Ankur Patankar MS Computer Science Georgia Tech College of Computing Cell: (404)

Backward Induction and Stackelberg Competition

Romance of the Three Kingdoms

Game Theory: From Zero-Sum to Non-Zero-Sum. CSCI 3202, Fall 2010

THE NUMBER WAR GAMES

Rosa Parks Middle School. Summer Math Packet C2.0 Algebra Student Name: Teacher Name: Date:

A Mathematical Analysis of Oregon Lottery Win for Life

Reinforcement Learning Applied to a Game of Deceit

16.410/413 Principles of Autonomy and Decision Making

A Choice Prediction Competition for Social Preferences in Simple Extensive Form Games: An Introduction

Partial Answers to the 2005 Final Exam

Week in Review #5 ( , 3.1)

Chess and Intelligence: Lessons for Scholastic Chess

Contents. Preparation. 5 Question & Answer Card Consoles. 1,000 cards (980 question / answer cards, 20 Ask the Audience / Phone a Friend cards) Money

INTRODUCTORY STATISTICS LECTURE 4 PROBABILITY

Managing Difficult Conversations: Quick Reference Guide

Rational decisions in non-probabilistic setting

Extensive Games with Perfect Information. Start by restricting attention to games without simultaneous moves and without nature (no randomness).

Graph Formation Effects on Social Welfare and Inequality in a Networked Resource Game

Sample Instructions and Screenshots

Older adults attitudes toward assistive technology. The effects of device visibility and social influence. Chaiwoo Lee. ESD. 87 December 1, 2010

An Integrated Expert User with End User in Technology Acceptance Model for Actual Evaluation

Perceived Image Quality and Acceptability of Photographic Prints Originating from Different Resolution Digital Capture Devices

Online Resource to The evolution of sanctioning institutions: an experimental approach to the social contract

Course Overview J-PAL HOW TO RANDOMIZE 2

Chapter 2. Weighted Voting Systems. Sections 2 and 3. The Banzhaf Power Index

These Are a Few of My Favorite Things

Test 2 SOLUTIONS (Chapters 5 7)

Jednoczynnikowa analiza wariancji (ANOVA)

If a fair coin is tossed 10 times, what will we see? 24.61% 20.51% 20.51% 11.72% 11.72% 4.39% 4.39% 0.98% 0.98% 0.098% 0.098%

AI Approaches to Ultimate Tic-Tac-Toe

Abstract: The Divisor Game is seemingly simple two-person game; but, like so much of math,

Multidimensional Ellsberg: Online Appendix

Getting Started Tool Kit

Part 1: I can express probability as a fraction, decimal, and percent

GAME PROCEDURES AND PROTOCOLS CORE GAMES: DICTATOR, ULTIMATUM, THIRD PARTY PUNISHMENT

RMT 2015 Power Round Solutions February 14, 2015

8.F The Possibility of Mistakes: Trembling Hand Perfection

Strategies and Game Theory

Trip Assignment. Lecture Notes in Transportation Systems Engineering. Prof. Tom V. Mathew. 1 Overview 1. 2 Link cost function 2

CS1802 Week 9: Probability, Expectation, Entropy

BANKER S RESPONSIBILITIES. Distribute money at the beginning of the game. Dispense salaries and houses.

Transcription:

Reciprocating Trust or Kindness Ilana Ritov Hebrew University Belief Based Utility Conference, CMU 2017

Trust and Kindness Trusting a person typically involves giving some of one's resources to that person, with the understanding that the recipient will return the resource to the giver in the future. Giving some of one's resources to another person may not necessarily be motivated by expectations of future returns. It may simply be an act of kindness.

Reciprocity Would a recipient be more or less likely to reciprocate when she receives the resource as a pure act of kindness, or part of a social understanding in which she would be expected to reciprocate? Does the giver s motivation matter to the recipient?

Reciprocity theories include other players actions as well as the intention behind the action, as determinants of reciprocal behavior. It is commonly assumed that the inclination of trustees to reciprocate depends on how they perceive the trusting behavior of the trustor. Trust and reciprocity were studied largely by using the Trust Game, varying aspects of the game, including parameters of efficiency and risk. Results indicate that trustees reciprocate more on the basis of the benefits the trustor has provided to them, and assign relatively less weight to the trustors risks.

We ask more generally, does the perceived motivation of the trustor affect inclination to reciprocate? Do people reciprocate trust more or less than they reciprocate pure kindness?

Does the motivation for giving affect reciprocity? We compare recipients responses to the same monetary allocation in two fundamentally different situations: The giver expects reciprocity (Trust game) The giver could not have expected reciprocity (one shot Dictator game). In this case we introduce, after the game, an unexpected reciprocation opportunity.

We compare recipients decisions in modified versions of Trust and Dictator games. At the reciprocation stage: The total amount each player has is the same in both games. The possibility to reciprocate is known to both players at the response stage. There is no continued interaction after the reciprocation decision. The only difference between the Trust Game and the Unexpected Reciprocation Opportunity is whether Player 1 could have expected reciprocity.

Experiment 1 Unexpected Opportunity to Reciprocate The instructions for the initial stage read: "Participants are randomly assigned to one of two roles: Player 1 and Player 2. Player 1 receives an endowment of 80 and Player 2 receives nothing. Player 1, if he or she wishes, can give Player 2 15 of the 80 he/she received. If Player 1 decides to give 15 to Player 2 that amount is quadrupled by the experimenter, so Player 2 actually receives 60."

Experiment 1- cont. Trust : After Player 1 decides on his/her allocation "Player 2 gets to decide if and how much of the money he/she received to allocate back to Player 1. The rules of the game are explained to all participants (both Players 1 and Players 2) prior to starting the game." Unexpected Reciprocation Opportunity : Now, after the initial game is over we inform you and all other participants (both Players 1 and Players 2) of the additional following stage: Players 2 are given the chance to give some of the money they received back to Players 1, if they wish to do so."

Control : Experiment 1- cont. Player 1 receives an endowment of 65 and Player 2 receives an endowment of 60. Players 2 (and only they) are given the chance to give Players 1 some of the money they received, if they wish to do so. They can allocate to Player 1 any amount between 0 and the sum they received. The rules of the game are explained to all participants (both Players 1 and Players 2) prior to starting the game.

Experiment 1- cont. Initial Allocation After Player 1 sends 15 Allocation quadrupled Player 1 80 65 65 Player 2 0 15 60

Experiment 1- cont. 304 MTurk workers were assigned the role of Player 2 and received an allocation from Player 1. Manipulation check: When Player 1 decided how much money to give to Player 2, did he/she know that Player 2 would have the opportunity to allocate some of the money back to him/her? 247 out of 304 answered the question correctly.

Experiment 1- cont. Players A : T 70%, D 73% Expected return: T 13.70, D 8.13 (t(121)=2.985, p=.003)

Recipients Allocation (N=247) ANOVA : (F(2,244)=11.329, p<.001). Control condition significantly lower than each treatment condition (p<.05 for each comparison). Trust and Unexpected Opportunity not significantly different (p=.233).

Proportion Non Zero Contributors (N=)247 Allocation of Non-Zero Contributors (N=124) Chi-squared=28.299, p<.001). The difference between the two treatment conditions not significant (p=.144) F(2,122)=.593, p>.5)

Player 1 s Expectations Estimated by Player 2 (N=247) ANOVA : (F(2,244)=13.938, p<.001). Control condition significantly lower than each treatment condition (p<.05 for each comparison). Trust and Unexpected Opportunity marginally significantly different (p=.051).

Reciprocity is correlated with perceived expectations of the giver (r=.489, p<.001) Reciprocity is not mediated by expectations: Including Player 1's expectations in the model yielded a significant result for expectations as well as condition. The two treatment conditions do not significantly differ when including expectations in the model (p=.53)

In sum, we find that Player 2 reciprocates: The amount sent to Player 1 depends on whether Player 2 was a recipient of a previous allocation by that player. The intentions of Player 1 regarding reciprocity do not seem to matter much. We further examine the effect of initial allocation on reciprocation in the next experiment. Instead of reciprocating the initial allocation, participants play a repeated game.

Experiment 2 Repeated Dictator The instructions for the initial stage read: "Participants are randomly assigned to one of two roles: Player 1 and Player 2. Player 1 receives an endowment of 60 and Player 2 receives nothing. Player 1, if he or she wishes, can give Player 2 20 of the 60 he/she received.

Experiment 2- cont. Expected Repeated Dictator : After the first round will be completed, the game will be repeated one more (final) time. The pairs will remain unchanged, but the roles will be switched. As in the first round, the participant now assigned the role of Player 1 will receive an endowment of 60, and player 2 will receive nothing. At this round Player 1 can give Player 2 any sum, including 0 and up to the total amount he/she received in this study. Unexpected Repeated Dictator : Unexpectedly, now after the initial game is over we let you and all other participants (both Players 1 and Players 2) know of the following additional stage. The game will be repeated one more (final) time. The pairs remain unchanged, but the roles are switched

Experiment 2- cont. Trust : If Player 1 decides to give 20 to Player 2 that amount is quadrupled by the experimenter, so Player 2 actually receives 80. Player 2 gets to decide if and how much of the money he/she received to allocate back to Player 1. The rules of the game are explained to all participants (both Players 1 and Players 2) prior to starting the game." Control : Player 1 receives an endowment of 40 and Player 2 receives an endowment of 80. Players 2 (and only they) are given the chance to give Players 1 some of the money they received, if they wish to do so. They can allocate to Player 1 any amount between 0 and the sum they received.

Experiment 2- cont. Initial Allocation After Player 1 sends 20 Second game/ Allocation quadrupled Player 1 60 40 40 Player 2 0 20 80

Experiment 2- cont. 401 MTurk workers were assigned the role of Player 2 and received an allocation from Player 1. Manipulation check: When Player 1 decided how much money to give to Player 2, did he/she know that Player 2 would have the opportunity to allocate some money back to him/her? 330 out of 401 answered the question correctly.

Recipients Allocation (N=330) ANOVA : (F(3,326)=14.918, p<.001). Control condition significantly lower than each treatment condition (p<.001 for each comparison). Treatment conditions do not differ from each other (p>.8).

Reciprocal Allocation of Non-Zero Allocators (N=241) ANOVA : (F(3,237)=7.058, p<.001). Control condition significantly lower than each treatment condition (p<.05 for each comparison). Treatment conditions were not significantly different from each other (p>.4 for all comparisons).

Reciprocal Allocation of Non-Zero Allocators (N=241) ANOVA : (F(3,237)=7.058, p<.001). Control condition significantly lower than each treatment condition (p<.05 for each comparison). Treatment conditions were not significantly different from each other (p>.4 for all comparisons).

Proportion Non-Zero Contributors (N=330) Allocation of Non-Zero Contributors (N=241) Chi-squared=26.838, p<.001). The difference between the three treatment conditions not significant (p>.7). ANOVA : (F(3,237)=7.058, p<.001). Control condition significantly lower than each treatment condition (p<.05 for each comparison). Treatment conditions not significantly different from each other (p>.4 for all comparisons).

Player 1 s Expectations Estimated by Player 2 (N=330) ANOVA : (F(3,326)=17.833, p<.001). Control condition significantly lower than each treatment condition (p<.001 for each comparison). Treatment conditions were not significantly different from each other (p>.9 for all comparisons).

Reciprocity is correlated with perceived expectations of the giver (r=.228, p<.001). Reciprocity is not mediated by expectations: Including Player 1's expectations in the model yielded a significant result for expectations as well as condition.

Would participants reciprocate even if the giver would not know that they had the opportunity to do so?

Experiment 3 Reciprocating if Player 1 does not know Unexpected Reciprocation Opportunity : Player 1 receives an endowment of 50NIS and Player 2 receives nothing. Player 1, if he or she wishes, can give Player 2 15NIS of the 50NIS he/she received. If Player 1 decides to give 15NIS to Player 2 that amount is doubled by the experimenter, so Player 2 actually receives 30NIS. You were assigned the role of Player 2. Player 1 decided to give you 15NIS. Consequently you receive 30NIS. Control : Player 1 and Player 2. Player 1 receives an endowment of 35NIS and Player 2 receives an endowment of 30NIS. You were assigned the role of Player 2. Now, after the initial game is over we inform you and all other Players 2 of the additional following stage: Players 2 are given the chance to give some of the money they received to Players 1, if they wish to do so. Player 1 is not aware of the fact that you have the possibility of sending her money, and she will find this out only if you decide to send her money.

Experiment 3- cont. Initial Allocation After Player A sends 15 Allocation doubled Player 1 50 35 35 Player 2 0 15 30

Experiment 3- cont. 233 students participating in online experiments were assigned the role of Player 2 and received an allocation from Player 1. Four pairs were randomly selected to receive their outcomes. Manipulation check: When Player 1 decided how much money to give to Player 2, did he/she know that Player 2 would have the opportunity to allocate some of the money back to him/her? If Player 2 does not allocate money to Player 1, would Player 1 know that Player 2 had the opportunity to send her money? 215 out of 233 answered both questions correctly.

Recipients Allocation (N=215) t(213)=6.342, p<.001

Proportion of Non Zero Contributors (N=215) Allocation of Non Zero Contributors (N=82) Chi-squared=39.379, p<.001 t(80)=1.134, p=.26

Our findings suggest that people reciprocate giving even when the giver could not expect it and would not know of their forgoing reciprocation opportunity. At the same time people are not inclined to reciprocate trust more (or less) than they reciprocate pure kindness.

Thank You! Research supported by the Israel Science Foundation