- •Brief Contents
- •Contents
- •Preface
- •Who Should Use this Book
- •Philosophy
- •A Short Word on Experiments
- •Acknowledgments
- •Rational Choice Theory and Rational Modeling
- •Rationality and Demand Curves
- •Bounded Rationality and Model Types
- •References
- •Rational Choice with Fixed and Marginal Costs
- •Fixed versus Sunk Costs
- •The Sunk Cost Fallacy
- •Theory and Reactions to Sunk Cost
- •History and Notes
- •Rational Explanations for the Sunk Cost Fallacy
- •Transaction Utility and Flat-Rate Bias
- •Procedural Explanations for Flat-Rate Bias
- •Rational Explanations for Flat-Rate Bias
- •History and Notes
- •Theory and Reference-Dependent Preferences
- •Rational Choice with Income from Varying Sources
- •The Theory of Mental Accounting
- •Budgeting and Consumption Bundles
- •Accounts, Integrating, or Segregating
- •Payment Decoupling, Prepurchase, and Credit Card Purchases
- •Investments and Opening and Closing Accounts
- •Reference Points and Indifference Curves
- •Rational Choice, Temptation and Gifts versus Cash
- •Budgets, Accounts, Temptation, and Gifts
- •Rational Choice over Time
- •References
- •Rational Choice and Default Options
- •Rational Explanations of the Status Quo Bias
- •History and Notes
- •Reference Points, Indifference Curves, and the Consumer Problem
- •An Evolutionary Explanation for Loss Aversion
- •Rational Choice and Getting and Giving Up Goods
- •Loss Aversion and the Endowment Effect
- •Rational Explanations for the Endowment Effect
- •History and Notes
- •Thought Questions
- •Rational Bidding in Auctions
- •Procedural Explanations for Overbidding
- •Levels of Rationality
- •Bidding Heuristics and Transparency
- •Rational Bidding under Dutch and First-Price Auctions
- •History and Notes
- •Rational Prices in English, Dutch, and First-Price Auctions
- •Auction with Uncertainty
- •Rational Bidding under Uncertainty
- •History and Notes
- •References
- •Multiple Rational Choice with Certainty and Uncertainty
- •The Portfolio Problem
- •Narrow versus Broad Bracketing
- •Bracketing the Portfolio Problem
- •More than the Sum of Its Parts
- •The Utility Function and Risk Aversion
- •Bracketing and Variety
- •Rational Bracketing for Variety
- •Changing Preferences, Adding Up, and Choice Bracketing
- •Addiction and Melioration
- •Narrow Bracketing and Motivation
- •Behavioral Bracketing
- •History and Notes
- •Rational Explanations for Bracketing Behavior
- •Statistical Inference and Information
- •Calibration Exercises
- •Representativeness
- •Conjunction Bias
- •The Law of Small Numbers
- •Conservatism versus Representativeness
- •Availability Heuristic
- •Bias, Bigotry, and Availability
- •History and Notes
- •References
- •Rational Information Search
- •Risk Aversion and Production
- •Self-Serving Bias
- •Is Bad Information Bad?
- •History and Notes
- •Thought Questions
- •Rational Decision under Risk
- •Independence and Rational Decision under Risk
- •Allowing Violations of Independence
- •The Shape of Indifference Curves
- •Evidence on the Shape of Probability Weights
- •Probability Weights without Preferences for the Inferior
- •History and Notes
- •Thought Questions
- •Risk Aversion, Risk Loving, and Loss Aversion
- •Prospect Theory
- •Prospect Theory and Indifference Curves
- •Does Prospect Theory Solve the Whole Problem?
- •Prospect Theory and Risk Aversion in Small Gambles
- •History and Notes
- •References
- •The Standard Models of Intertemporal Choice
- •Making Decisions for Our Future Self
- •Projection Bias and Addiction
- •The Role of Emotions and Visceral Factors in Choice
- •Modeling the Hot–Cold Empathy Gap
- •Hindsight Bias and the Curse of Knowledge
- •History and Notes
- •Thought Questions
- •The Fully Additive Model
- •Discounting in Continuous Time
- •Why Would Discounting Be Stable?
- •Naïve Hyperbolic Discounting
- •Naïve Quasi-Hyperbolic Discounting
- •The Common Difference Effect
- •The Absolute Magnitude Effect
- •History and Notes
- •References
- •Rationality and the Possibility of Committing
- •Commitment under Time Inconsistency
- •Choosing When to Do It
- •Of Sophisticates and Naïfs
- •Uncommitting
- •History and Notes
- •Thought Questions
- •Rationality and Altruism
- •Public Goods Provision and Altruistic Behavior
- •History and Notes
- •Thought Questions
- •Inequity Aversion
- •Holding Firms Accountable in a Competitive Marketplace
- •Fairness
- •Kindness Functions
- •Psychological Games
- •History and Notes
- •References
- •Of Trust and Trustworthiness
- •Trust in the Marketplace
- •Trust and Distrust
- •Reciprocity
- •History and Notes
- •References
- •Glossary
- •Index
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Such was the case with hurricane Mitch, which hit Honduras in October 1998. Mitch had a measurable and durable impact on the lives and livelihoods of Honduran citizens. Immediately upon impact, one third of the value of that year’s crop was destroyed, and homes, infrastructure, and farming structures were also destroyed. Farm land was eroded to the point that farms would be unproductive without significant investments in soil and landscape improvement. Farmers’ investments were wiped away, leaving them with lessproductive farms and with incomes that would be permanently lower without further investment. It is estimated that 5 percent of the population was immediately reduced to poverty, increasing the poverty rate to 75 percent.
In developing countries such as Honduras, where financial markets and formal insurance might be unavailable to most, the speed of recovery depends very heavily on the ability of informal mechanisms to function. Thus, the ability of the rural poor to care for one another, often without monetary or material reward, can help speed the recovery. Michael Carter and Marco Castillo set out to determine the extent to which altruism can help speed the recovery from a disaster. They collected experimental data from 389 farm households in Honduras a few years after hurricane Mitch.
Each household, in addition to answering several questions about the damage they suffered and their recovery from Mitch, also participated in a dictator game with other households. The dictator game asked them to divide money between themselves and another household. Any money passed to the other household would be tripled. On average, households passed 42 percent to others. More impressively, how much people shared with others was directly related to the speed of the recovery. Increasing the amount of altruistic giving by 10 percent was associated with a 1 percent increase in the rate of recovery (rate at which they returned to their previous level of assets). This suggests that in communities for which altruism is the norm, recovery from natural disasters may be much more effective for all. Perhaps such observations provide us some clues as to how altruism became so prevalent in modern societies.
History and Notes
Altruism is not only a topic of interest for economists or other social scientists. Evolutionary biologists have also taken an interest in altruistic behavior. Much like economics, the study of evolution often assumes that people maximize not their utility function but their own fitness, most often defined as one’s ability to pass on one’s genes to the next generation. At first blush, it would seem that risking your own life or reducing your own sustenance would reduce fitness. However, many examples of seemingly altruistic behavior can be found in nature. For example, Gary Becker notes that baboons often risk substantial harm to protect other baboons. Nonetheless, such acts of seeming altruism can help promote fitness for the group, increasing the probability that genes are passed on for any one individual. More prominently, sociobiologists argue that altruistic motives toward children may be directly motivated by fitness. Similarly, altruistic
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behavior can lead to outcomes that are superior to purely selfish behavior under a wide set of circumstances.
Among humans, evolutionary psychologists have theorized about the attraction of females to males who are kind, and reciprocally males’ tendency to display kindness to females but to act aggressively at other times. Clearly no female would want a mate who would threaten their children. But with every such theory we find counterexamples. For example, male grizzly bears often attack grizzly cubs under the protection of their mother. The female praying mantis eats her mate after fertilization. The female of some species of spiders eats a potential mate that is deemed not attractive enough. In a true oddity of evolution, a persistent and relatively stable percentage of fishing spiders engage in excess sexual cannibalism. That is, some set such a high bar for a mate that they kill and eat every potential mate, thus never passing their genes along. It would seem such a practice should be weeded out in short order, though it persists. In general, although altruism might have its roots in evolution, this is not to the exclusion of malicious behavior. Malicious behavior is to be found among humans as well, as we discuss in the following two chapters.
Biographical Note
Courtesy of Robert H. Frank
Robert H. Frank (1945–)
B.S., Georgia Institute of Technology, 1966; M.
A., University of California at Berkeley, 1971; Ph.
D., University of California at Berkeley, 1972
Held faculty or visiting positions at Cornell
University, École des Hautes Études et Sciences
Sociales (Paris), Stanford University, International
Institute of Management (West Berlin)
When Robert Frank had completed his undergraduate studies in mathematics, he immediately joined the Peace Corps. As a Peace Corps volunteer he taught science and mathematics in
Nepal. After his return to the United States, he earned an M.A. degree in statistics on his way to a Ph.D. in economics. Frank is well known for his contributions to economics in examining the role of emotions and status. In addition to his studies of how positional externalities and inequality can undermine the middle class, Frank has also examined how such seemingly irrational emotions like romance and rage may be beneficial and functional when considered in longer-term relationships. Frank has been a prolific author of highly respected and widely cited academic
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papers and of best-selling books written for a lay audience. Books such as Falling Behind, Choosing the Right Pond, and Passions in Reason have had an influence well beyond the field of economics. Frank regularly writes a column of economic issues for the New York Times, providing insights on how economists think about current policy debates. He has also authored and coauthored several introductorylevel economics textbooks. His work on inequality has led him to advocate for progressive consumption taxes, which would discourage excess consumption. Such a tax could help alleviate the “keeping up with the Joneses” effect.
T H O U G H T Q U E S T I O N S
1.Economists often model businesses as strictly maximizing profits. However, we also observe many firms giving money to charity or providing some of their products to disadvantaged consumers for free or at a reduced price. Are these acts altruistic? What other motives might firms have? Use real-world examples to argue your case.
2.Consider Hong, who is endowed with a number of tokens. The tokens can be allocated between Hong and another person. Each unit of Hong’s own consumption, x1, can be purchased for p1 tokens. Each unit of the other person’s consumption, x2, can be purchased for p2 tokens. Consider each of the following sets of choices. Determine if each violates WARP, SARP, or GARP.
(d) When endowed with 20 tokens, with p1 = 1 and p2 = 1 Hong chooses x1 = 17, x2 = 3. When endowed with 30 tokens, with p1 = 1, p2 = 2, Hong chooses x1 = 20, x2 = 5. When endowed with 100 tokens, with p1 = 10, p2 = 5, Hong chooses x1 = 5, x2 = 10.
3.Consider the prisoner’s dilemma game, in which two prisoners are accused of a crime. Both are isolated in the prison. Without a confession, there is not enough evidence to convict either. Any prisoner who confesses will be looked upon with lenience. If one prisoner confesses and the other does not, that prisoner not confessing will be put away for a much longer sentence. The payoffs can be represented as pictured in Figure 14.7 (Player 1’s payoffs are in the upper right, and Player 2’s are in the lower left).
(a)When endowed with 20 tokens, with p1 = 1 and p2 = 1 Hong chooses x1 = 17, x2 = 2.05. When
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(b)When endowed with 20 tokens, with p1 = 1 and p2 = 1 Hong chooses x1 = 18, x2 = 2. When
endowed with 30 tokens, with p1 = 0.5, p2 = 10.5, Hong chooses x1 = 17, x2 = 2.05.
(c)When endowed with 20 tokens, with p1 = 1 and p2 = 1 Hong chooses x1 = 17, x2 = 3. When endowed with 30 tokens, with p1 = 1, p2 = 2, Hong chooses x1 = 10, x2 = 10. When endowed with 100 tokens, with p1 = 5, p2 = 5, Hong chooses x1 = 18, x2 = 2.
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FIGURE 14.7
The Prisoner’s Dilemma
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(a)Determine the Nash equilibrium strategy for each player. What would be the result of the game if both players chose this strategy?
(b)In most experiments involving the prisoner’s dilemma, we observe that players tend to choose not to defect a reasonable proportion of the time. How might this be motivated by altruism?
(c)If a selfish player is playing the prisoner’s dilemma against an opponent she believes to be altruistic,
R E F E R E N C E S
Andreoni, J., and J. Miller. “Giving According to GARP: An Experimental Test of the Consistency of Preferences for Altruism.” Econometrica 70(2002): 737–753.
Andreoni, J., and L. Vesterlund. “Which is the Fair Sex? Gender Differences in Altruism.” Quarterly Journal of Economics 116 (2001): 293–312.
Burnham, T.C. “Engineering Altruism: A Theoretical and Experimental Investigation of Anonymity and Gift Giving.” Journal of Economic Behavior and Organization 50(2003): 133–144.
Chan, K.S., R. Godby, S. Mestelman, and R.A. Muller. “Crowdingout Voluntary Contributions to Public Goods.” Journal of Economic Behavior and Organization 48(2002): 305–317.
Carter, M.R., and M. Castillo. “Morals, Markets and Mutual Insurance: using Economic Experiments to Study Recovery from Hurricane Mitch.” In C.B. Barrett (ed.). Exploring the Moral Dimensions of Economic Behavior. London: Routledge, 2004, 268–287.
Easterlin, R.A. “Does Money Buy Happiness?” The Public Interest
30(1973): 3–10.
Forsythe, R., J.L. Horowitz, N.E. Savin, and M. Sefton. “Fairness in Simple Bargaining Experiments.” Games and Economic Behavior 6(1994): 347–369.
Frank, R.H. “The Frame of Reference as a Public Good.” Economic Journal 107(1997): 1832–1847.
what would her strategy be? Is this similar to the observation in the TIOLI game? Why or why not?
(d)Now suppose that the prisoner’s dilemma is played three times in sequence by the same two players. How might a belief that the other player is altruistic affect the play of a selfish player? Is this different from your answer to c? What has changed?
Frank, R.H. “Progressive Consumption Taxation as a Remedy for the U.S. Savings Shortfall.” The Economists’ Voice 2(2005): Article 2.
Harbaugh, W.T., K. Krause, and S.J. Liday. “Bargaining by Children.” University of Oregon Economics Working Paper No. 2002–4.
Hoffman, E., K. McCabe, and V.L. Smith. “Social Distance and Other-Regarding Behavior in Dictator Games.” American Economic Review 86(1996): 653–660.
Lundberg, S. “Child Auctions in Nineteenth Century Sweden: An Analysis of Price Differences.” Journal of Human Resources 35 (2000): 279–298.
McKelvey, R.D., and T.R. Palfrey. “An Experimental Study of the Centipede Game.” Econometrica 60(1992): 803–836.
Schulze, W.S., M.H. Lubatkin, and R.N. Dino. “Altruism, Agency, and the Competitiveness of Family Firms.” Managerial and Decision Economics 23(2002): 247–259.
Stevenson, B., and J. Wolfers. “Economic Growth and Subjective Well-Being: Reassessing the Easterlin Paradox.” Working Paper 14282. Cambridge, MA: National Bureau of Economic Research, 2008.
Waldfogel, J. “The Deadweight Loss of Christmas.” American Economic Review 83(1993): 1328–1336.
Fairness and Psychological Games 15
One of the most fascinating reads is the classic tale of Edmond Dantes found in Alexandre Dumas’ The Count of Monte Cristo. As a young sailor, Dantes has a promising future ahead. He appears to be in line for promotion to captain, he is engaged to a beautiful and loving woman, and he appears to be very near achieving the goals that will make him happy. But just as he is about to realize his dreams, three jealous competitors conspire to have him falsely arrested and imprisoned for high treason. After spending years in prison, Dantes gives up hope and decides to starve himself to death. At this point, an older prisoner, Abbe Faria, accidently tunnels into Dantes’ cell in a failed attempt to escape. They become fast friends, and Faria uses their time not only to instruct Dantes in high culture, science, and languages but also to share with him the location of an enormous fortune that awaits Dantes should he ever successfully escape.
After Faria dies, Dantes succeeds in escaping, and he finds the seemingly inexhaustible fortune Faria had told him of. At this point, a perfectly selfish person would take the money and live the most opulent life imaginable. Someone motivated by altruism might take his fortune and use some for his own enjoyment and also use a substantial amount to enrich the lives of his lost love or other unfortunate friends from his prior life. In fact, Dantes does give an anonymous gift of cash to the Morrel family, who had stood by him throughout his troubles. However, he uses the remainder of his fortune to exact the slowest and most painful revenge he can on each of the conspirators who had put him in prison—one of whom is now married to his former fiancée. At each turn of the knife, the reader feels somehow victorious and happy that the conspirators receive their just reward for vile villainy against the innocent, though Dantes seems to become less and less the hero.
The notion of altruism provides a very simplistic view of how people deal with one another. In truth, we do not always have others’ best interest at heart. In some cases, we even seek to harm others at our own expense. Among the most extreme examples of this are suicide bombers who give their lives in the hope that they can injure or kill others. These actions are clearly incongruous with either the selfish decision maker or the altruistic decision maker. Moreover, it seems unlikely that we could find people who behave in such a cruel or vindictive manner generally to everyone they meet. In this chapter we introduce a more-nuanced set of theories about other-regarding preferences. The majority of these theories have developed out of the notion that people seek a fair distribution of consequences. This may be one of the reasons we see nearly even splits in many of the versions of the dictator game
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discussed in Chapter 14. The notion of fairness has had many different definitions in the literature, and we will cover the most important of these.
One branch of the research on fairness concerns how people react not only to the distribution of outcomes but also to the motivations and perceptions of others. Such conceptions of psychological motivations in games can provide powerful explanations of the behavior commonly observed in laboratory games. These models of behavior also have implications for the real world. Much of work and business is conducted in teams or other groups in which the actions of each individual involved will affect the payouts of all. How teams perceive the diligence of each of their individual members can have a substantial impact on how any one individual will decide on how much effort to put forth. Similarly, firms can use the way they are perceived in the community (e.g., socially conscious vs. greedy) to market their products and services. In each case, how actions are perceived can have a big impact on the behavior of others and ultimately on the profits of firms and well-being of consumers and workers.
EXAMPLE 15.1 Giving Ultimatums
The notion that people desire outcomes in which the payoffs are evenly divided has been a common explanation for the behavior observed in the dictator game. However, as you recall, these results tended to erode once the dictators knew that their choices would be completely anonymous. Thus, the dictators seemed to be partially motivated by what others might think of their actions. One wonders how the second player in the dictator game felt about his portion of the money and the dictator who gave it to him. If the second player had the option of expensive retaliation, we would be allowed to see explicitly how others react to the dictator’s actions. This is the motivation behind the ultimatum game. In the ultimatum game, two players are to divide an amount of money, say $10. Player 1 proposes a split of the money between the two players. For example, Player 1 could propose that Player 1 will receive $7 and Player 2 will receive $3. Then, Player 2 can accept the proposal, and then both players receive the amounts Player 1 proposed, or Player 2 can reject the offer and both players receive nothing.
We can solve for the subgame perfect Nash equilibrium (SPNE) of this simple game by using backward induction. Given any split proposed by Player 1, a selfish Player 2 will prefer to receive any positive amount to $0. Thus, so long as Player 1 proposes that Player 2 receive at least $0.01, then Player 2 should accept. Given this strategy by Player 2, a selfish Player 1 should always choose to take all the money aside from $0.01. If Player 1 is altruistic, he might decide to allot more to Player 2. Whether Player 2 is selfish or altruistic, he should not reject an offer that provides him at least a penny. The selfish player will take the money because it makes him better off. The altruistic player will accept it because rejecting it would make both players worse off. Rejecting any positive offer of money would hurt Player 2 in order to hurt Player 1. It is an extreme and purely destructive move.
Werner Güth, Rold Schmittberger, and Bernd Schwarze engaged 42 participants in a laboratory experiment in which each pair played the ultimatum game. Each player
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participated twice, once exactly one week after the first game. However, players were not aware that the second game would take place until after they had already completed the first game, thus eliminating the chance for strategic behavior. In the first game, two of the 21 players delivering the ultimatum chose a split in which they would receive all of the money, seven decided on an even split, and only five chose a split in which Player 1 would receive more than 67 percent of the money. On average, Player 1 offered a split giving Player 1 64.9 percent of the money. Clearly, this is out of line with the SPNE. On the other side of the table, nearly all of those playing the role of Player 2 chose to accept the split; two did not. One had been offered 20 percent of the money, and one had been offered none. Aside from the Player 2 who rejected 20 percent of the money, all of those playing the role of Player 2 behaved according to the rational selfish model: accepting a positive offer and either accepting or rejecting an offer of zero. These results are consistent with the results from other experiments involving the ultimatum game, where the majority of participants tend to offer a nearly even split, with Player 2 receiving 40 percent to 50 percent.
Given one week to consider the game, players returned and were paired with different participants for a second round. This time, 11 of those playing the role of Player 1 offered a split giving themselves more than 67 percent, and one participant offered the partner a single penny. Every player offered their partner at least a penny. Again, only one player behaved according to the SPNE, though the offers were much closer to the selfish and rational offer. On average, Player 1 offered a split resulting in Player 1 receiving 69.0 percent of the money. Those playing the role of Player 2 were incensed by the relatively unfavorable offers they received. Of the 21 participants playing the role of Player 2, six decided to reject the offer, even though all offers included a positive payout for Player 2. These players received offers in which they would receive 0.200 percent, 0.167 percent, 0.200 percent, 0.250 percent, 0.250 percent or 0.429 percent. Offers of more than 43 percent of the money were all accepted. In this case, about 25 percent were willing to pay money (by giving up the amount offered to them) to keep Player 1 from receiving any money. This behavior appears to be in retaliation for offers that gave Player 2 too little money. In similar experiments we find that 40 percent to 50 percent of offers in which Player 2 would receive less than 20 percent of the money are rejected.
This game provides an interesting illustration of the puzzle of other-regarding preferences. The offers by those in the role of Player 1 clearly deviate from the selfish rule of offering only one penny. In fact, they tend to gravitate toward offering about half (or almost half) to their opponent. This, and the behavior in the dictator game discussed in Chapter 14 suggest that people are willing to give up money in order to make others better off, which is consistent with altruism. Alternatively, many playing the role of Player 2 were willing to forgo money to keep their partner from receiving money; this behavior seems diametrically opposed to altruism. Moreover, the behavior seems to be contingent on the offer Player 2 received. Players wished to punish those who had given them an unfavorable split and were willing to pay in order to administer that punishment. If the game would be played only once, there was no plausible future monetary reward for punishing Player 1.