Explain with clear brief points with correct answer - please do not attempt to answer if you are not confident please do not waste my chance to ask questions as they are not for free and please do not copy Question - What methodology do the authors use and why? Are there any implications of the finding for policy makers or business leaders? Article tittle and introduction is given below and the rest of the article is in the images attached- Tittle - Does regret matter in first-price auctions? Introduction- Numerous experiments report bidding in excess of risk-neutral-Nash predictions (henceforth overbidding) in first-price (hence-forth FP) auctions (Kagel, 1995). Besides risk aversion, alternative explanations for overbidding have been offered including anticipated regret (Filiz-Ozbay and Ozbay, 2007, henceforth FO). Some of these explanations, such as "level-k" decision-making (Craw-ford and Iriberri, 2007) and spiteful preferences, are relevant only in auctions against human bidders (games), whereas explanations such as anticipated regret are relevant for both games and single-agent decision problems. Previous experiments have tested the effects of anticipated regret in games. Given the effects of feedback and repeated exposure in auction settings (Ockenfels and Sel-ten, 2005; Neugebauer and Selten, 2006), we believe that the evidence in FO which is based on one-shot environment, as compared to the evidence in Engelbrecht-Wiggans and Katok (2007, 2008) (henceforth EWK) which is based on a repeated game de-sign, becomes the centerpiece of the existing evidence supporting anticipated regret in auctions. In this paper, we test the predictions based on anticipated regret in single-agent decision problems which provides a cleaner environment for testing regret effects, since explanations based on interpersonal comparisons-"level-k* thinking, spitefulness, joy of winning or ambiguity aversion (Salo and Weber, 1995)-are not relevant for bidding in our design.? Our results do not suggest any significant differences based on anticipated regret across treatments.

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Explain with clear brief points with correct answer - please do not attempt to answer if you are not confident please do not waste my chance to ask questions as they are not for free and please do not copy Question - What methodology do the authors use and why? Are there any implications of the finding for policy makers or business leaders? Article tittle and introduction is given below and the rest of the article is in the images attached- Tittle - Does regret matter in first-price auctions? Introduction- Numerous experiments report bidding in excess of risk-neutral-Nash predictions (henceforth overbidding) in first-price (hence-forth FP) auctions (Kagel, 1995). Besides risk aversion, alternative explanations for overbidding have been offered including anticipated regret (Filiz-Ozbay and Ozbay, 2007, henceforth FO). Some of these explanations, such as "level-k" decision-making (Craw-ford and Iriberri, 2007) and spiteful preferences, are relevant only in auctions against human bidders (games), whereas explanations such as anticipated regret are relevant for both games and single-agent decision problems. Previous experiments have tested the effects of anticipated regret in games. Given the effects of feedback and repeated exposure in auction settings (Ockenfels and Sel-ten, 2005; Neugebauer and Selten, 2006), we believe that the evidence in FO which is based on one-shot environment, as compared to the evidence in Engelbrecht-Wiggans and Katok (2007, 2008) (henceforth EWK) which is based on a repeated game de-sign, becomes the centerpiece of the existing evidence supporting anticipated regret in auctions. In this paper, we test the predictions based on anticipated regret in single-agent decision problems which provides a cleaner environment for testing regret effects, since explanations based on interpersonal comparisons-"level-k* thinking, spitefulness, joy of winning or ambiguity aversion (Salo and Weber, 1995)-are not relevant for bidding in our design.? Our results do not suggest any significant differences based on anticipated regret across treatments.
116
Table 1
Design features.
Loser Regret auctions
Participant gets to know her earnings from each auction
Winner's bid and value revealed at the end of the session
- 400
40 participants 10 rounds
Notes: (i) The protocols and features are the same as in Ratan (2015) (ii) 1 ECU = 4.12 AUD; 1 AUD = 0.90 USD.
1.
2.
R
Post auction information
Male
Constant
No. of bids
Table 2
Summary of bids across treatments.
Value draw LoserRegret auctions
** p < 0.05.
*** p <0.01.
31
37
43
49
55
Table 3
Testing for differences: Linear regression.
61
67
73
79
85
Notes:
*p<0.10.
**p<0.05.
*** p<0.01.
(1)
Bid
4. Conclusion
2.03
(1.63)
Mean
25.5
30.63
35.85
42.33
46.68
55.13
60.68
65.05
71.3
76.5
24.41***
(1.22)
780
0.749
(2)
Bid
1.90
(1.58)
-1.61
Std. error
6.93
9.64
9.61
8.33
12.39
5.35
6.05
9.73
7.35
8
(1.63)
25.22***
(1.16)
780
0.750
A. Ratan, Y. Wen/Economics Letters 143 (2016) 114-117
NoFeedback auctions
Mean
25.4
30.79
36.16
40
46.22
51.35
55.9
61.24
68.64
73.72
(3)
Ratio
0.03
(0.03)
0.81***
(0.03)
780
0.011
Std. error
5.74
6.89
7.37
9.05
9.51
10.82
11.72
12.73
11.48
11.58
(4)
Ratio
Observations
Adjusted R2
Notes: (i) R is a dummy variable for treatment condition (1 for LoserRegret auctions,
0 otherwise); (ii) Specifications 2 and 4 include a dummy variable for gender-Male
(1 for male and 0 for female); (iii) Specifications 1 and 2 include dummy variables for
the values 37, 43, 49, 55, 61, 67, 73, 79, and 85 (except value = 31); the coefficients
for these dummies are positive and highly significant (p < 0.01); and (iv) standard
errors clustered at the individual level are reported in parentheses.
*p <0.10.
0.03
(0.03)
-0.03
(0.03)
0.82***
(0.03)
780
0.020
ratior) the coefficient ß captures systematic differences in the
means of bids (bid-value ratio) across treatments. The results
are presented in Table 3. The estimate of the coefficient is
positive and insignificant (specification (1), and (3)). The results of
specifications that include gender-fixed effects are also reported
(specification (2) and (4)). The estimate of B, however, remains
insignificant.
Overall, the results in Table 3 do not suggest significant
treatment differences. Thus, we arrive at the following:
Result. No differences in bidding are observed in LoserRegret
auctions with respect to NoFeedback auctions.
We tested whether differences in how auction outcomes
are revealed (whether the winning bid is communicated or
not) influences bidding in FP auctions against pre-programmed
computerized bidders. This was previously explored in auctions
0.748
0.46
0.821
0.301
0.38
Wilcoxon rank-sum
(Mann-Whitney) test (p value)
0.243
0.095*
NoFeedback auctions
- Participant gets to know her earnings from each auction
0.201
0.386
0.31
-380
38 participants 10 rounds
Kolmogorov-Smirnov test
(p value)
0.99
0.49
0.741
0.26
0.355
0.624
0.347
0.48
0.882
0.309
against human bidders. Our results do not suggest any significant
differences in behavior across treatments. Thus, our results.
are different from those which suggest that loser regret driven
considerations might induce aggressive bidding (FO; EWK). Our
results are consistent with the results reported in Katuščák
CL
et al. (2015) for treatment conditions similar to ours: these are
CHC
treatment differences based on protocol HC in which one human
bids against one computer. In addition, they also report similar
qualitative findings in auctions with two and four human bidders.
This suggests that overbidding in FP auctions cannot be explained
by loser regret driven considerations and alternative explanations
could be more relevant for explaining overbidding in FP auctions
against human bidders.
Acknowledgment
The research was funded by faculty research grant of Monash
University.
Appendix A. Supplementary data
Supplementary material related to this article can be found.
online at http://dx.doi.org/10.1016/j.econlet.2016.03.021.
References
Crawford, V.P., Iriberri, N., 2007. Level-Kappa auctions: Can a nonequilibrium model
of strategic thinking explain the winner's curse and overbidding in private-
value auctions? Econometrica 75 (6), 1721-1770.
Engelbrecht-Wiggans, R., Katok, E., 2007. Regret in auctions: Theory and evidence.
Econom. Theory 33 (1), 81-101.
6 By making the assumption that regret effects are sensitive to ex-post revelation
of winning bids, experiments that suggest support for anticipated-regret are, in fact,
testing for saliency effects that may trigger regret in auctions (as correctly discussed
in EWK). This calls for a careful interpretation of previous evidence.
7 Our sample size (based on 78 participants) is slightly larger than the sample for
the corresponding treatments reported in FO (based on 64 participants).
Transcribed Image Text:116 Table 1 Design features. Loser Regret auctions Participant gets to know her earnings from each auction Winner's bid and value revealed at the end of the session - 400 40 participants 10 rounds Notes: (i) The protocols and features are the same as in Ratan (2015) (ii) 1 ECU = 4.12 AUD; 1 AUD = 0.90 USD. 1. 2. R Post auction information Male Constant No. of bids Table 2 Summary of bids across treatments. Value draw LoserRegret auctions ** p < 0.05. *** p <0.01. 31 37 43 49 55 Table 3 Testing for differences: Linear regression. 61 67 73 79 85 Notes: *p<0.10. **p<0.05. *** p<0.01. (1) Bid 4. Conclusion 2.03 (1.63) Mean 25.5 30.63 35.85 42.33 46.68 55.13 60.68 65.05 71.3 76.5 24.41*** (1.22) 780 0.749 (2) Bid 1.90 (1.58) -1.61 Std. error 6.93 9.64 9.61 8.33 12.39 5.35 6.05 9.73 7.35 8 (1.63) 25.22*** (1.16) 780 0.750 A. Ratan, Y. Wen/Economics Letters 143 (2016) 114-117 NoFeedback auctions Mean 25.4 30.79 36.16 40 46.22 51.35 55.9 61.24 68.64 73.72 (3) Ratio 0.03 (0.03) 0.81*** (0.03) 780 0.011 Std. error 5.74 6.89 7.37 9.05 9.51 10.82 11.72 12.73 11.48 11.58 (4) Ratio Observations Adjusted R2 Notes: (i) R is a dummy variable for treatment condition (1 for LoserRegret auctions, 0 otherwise); (ii) Specifications 2 and 4 include a dummy variable for gender-Male (1 for male and 0 for female); (iii) Specifications 1 and 2 include dummy variables for the values 37, 43, 49, 55, 61, 67, 73, 79, and 85 (except value = 31); the coefficients for these dummies are positive and highly significant (p < 0.01); and (iv) standard errors clustered at the individual level are reported in parentheses. *p <0.10. 0.03 (0.03) -0.03 (0.03) 0.82*** (0.03) 780 0.020 ratior) the coefficient ß captures systematic differences in the means of bids (bid-value ratio) across treatments. The results are presented in Table 3. The estimate of the coefficient is positive and insignificant (specification (1), and (3)). The results of specifications that include gender-fixed effects are also reported (specification (2) and (4)). The estimate of B, however, remains insignificant. Overall, the results in Table 3 do not suggest significant treatment differences. Thus, we arrive at the following: Result. No differences in bidding are observed in LoserRegret auctions with respect to NoFeedback auctions. We tested whether differences in how auction outcomes are revealed (whether the winning bid is communicated or not) influences bidding in FP auctions against pre-programmed computerized bidders. This was previously explored in auctions 0.748 0.46 0.821 0.301 0.38 Wilcoxon rank-sum (Mann-Whitney) test (p value) 0.243 0.095* NoFeedback auctions - Participant gets to know her earnings from each auction 0.201 0.386 0.31 -380 38 participants 10 rounds Kolmogorov-Smirnov test (p value) 0.99 0.49 0.741 0.26 0.355 0.624 0.347 0.48 0.882 0.309 against human bidders. Our results do not suggest any significant differences in behavior across treatments. Thus, our results. are different from those which suggest that loser regret driven considerations might induce aggressive bidding (FO; EWK). Our results are consistent with the results reported in Katuščák CL et al. (2015) for treatment conditions similar to ours: these are CHC treatment differences based on protocol HC in which one human bids against one computer. In addition, they also report similar qualitative findings in auctions with two and four human bidders. This suggests that overbidding in FP auctions cannot be explained by loser regret driven considerations and alternative explanations could be more relevant for explaining overbidding in FP auctions against human bidders. Acknowledgment The research was funded by faculty research grant of Monash University. Appendix A. Supplementary data Supplementary material related to this article can be found. online at http://dx.doi.org/10.1016/j.econlet.2016.03.021. References Crawford, V.P., Iriberri, N., 2007. Level-Kappa auctions: Can a nonequilibrium model of strategic thinking explain the winner's curse and overbidding in private- value auctions? Econometrica 75 (6), 1721-1770. Engelbrecht-Wiggans, R., Katok, E., 2007. Regret in auctions: Theory and evidence. Econom. Theory 33 (1), 81-101. 6 By making the assumption that regret effects are sensitive to ex-post revelation of winning bids, experiments that suggest support for anticipated-regret are, in fact, testing for saliency effects that may trigger regret in auctions (as correctly discussed in EWK). This calls for a careful interpretation of previous evidence. 7 Our sample size (based on 78 participants) is slightly larger than the sample for the corresponding treatments reported in FO (based on 64 participants).
វ៉
Co
(0
5
3
2
O
x LoserRegret auctions
o NoFeedback auctions
IM
0
.1
000
2
BO
3
4
.5
ratio
.6
A. Ratan, Y. Wen/Economics Letters 143 (2016) 114-117
.7
8 .9
1
Fig. 1. Empirical distribution of the bid/value ratio by type of auction.
(Salo and Weber, 1995)-are not relevant for bidding in our design.²
Our results do not suggest any significant differences based on an-
ticipated regret across treatments.³
2. The experiment
We use FP auctions in which human participants bid against
pre-programmed computers; this allows that objective probabili-
ties of winning conditional on bids can be derived. The experiment
was run at the Monash Laboratory for Experimental Economics at
Monash University. Students in undergraduate and master's level
courses in various disciplines participated in the experiment. Each
participant was randomly assigned to a treatment (see Appendix A
for instructions).
2.1. LoserRegret auctions
The sequence of events in a session corresponding to LoserRe-
gret auctions were as follows:
1. Initial instructions described the showup fee (7 AUD) and the
rate at which experimental currency-ECU was converted to
money (AUD). The following instructions were communicated:
(a) there will be 10 rounds in a session. (b) In each round,
participants would be bidding in a FP auction against three
pre-programmed computer bidders: each computer opponent
would submit a bid by drawing randomly and independently
from the set (0.75, 1.5, 2.25,...,75), and each number had
an equal chance of being drawn. Participants could be as-
signed values drawn from the set of integers: {1, 2, 3, ..., 100).
(c) Participants could bid discrete integers up to their values and
could not see the bids submitted by rival bidders at the time of
bidding, (d) the highest bidder would win the auction and pay
2 Our study has developed contemporaneously with Katuščák et al. (2015) in
which treatment conditions similar to ours, have been studied.
3 Thus, we are equating feedback with regret as in FO. Although recent papers
have attempted to generalize the regret theory (e.g. Saran and Serrano, 2014), the
theory as applied to auctions (FO, EWK) does not specify the circumstances under
which regret may or may not be anticipated.
4 These bids correspond to 75% of the values that could have been drawn for
computer bidders from the set (1, 2, 3, ..., 100) in each auction using alternative
procedures. Thus, in our design computer bidders submit risk-neutral Nash bids
without subjects being explicitly instructed about the correspondence between
computer bids and value. Thus, we are able to circumvent the "anchoring" confound
which may have influenced bidding if a bidding rule which described computer bids
as a fraction of their values was used.
115
a price equal to her bid. Ties would be resolved in favor of the
human bidder: if the bid submitted by the human agent was
among the highest bids, then he would be the winner, (e) after
bids were submitted for 10 rounds, auction outcomes would be
revealed such that participants would get to know their earn-
ings based on auction outcomes and one of the 10 rounds would
be selected randomly for final payment.
2. A short quiz was administered to evaluate participants' under-
standing of the instructions and participants practiced bidding
in three unpaid rounds.
3. In the bidding rounds that had payoff consequences a set of
values was created by pre-selecting 10 ECU values from the
set (1, 2... 100). The set of 10 values selected was (31, 37, 43,
49, 55, 61, 67, 73, 79, 85). This set was fixed for each partici-
pant. Values were assigned to participants (in each round) by
drawing randomly without replacement from this set.
2.2. Treatment differences
The sequence of events for NoFeedback auctions was similar
to those above, except for the following design differences. The
bidders were instructed that after bids have been submitted for all
rounds the computer will display whether they won the auction or
not, their earnings based on auction outcomes, and
a. LoserRegret auctions: the highest (winning) bid for that auction.
b. NoFeedback auctions: any other information regarding the bids
of the other bidders will not be shown.5
Table 1 summarizes treatment differences.
3. Results
A total of 40 and 38 participants were assigned to LoserRegret
and NoFeedback auctions, respectively. The actual mean payoff for
a participant inclusive of the participation fee was about AUD 23.
The summary statistics for bids at various value draws arereported
in Table 2.
Treatment differences
First, we explore treatment differences at various value draws.
As described in Table 2, although the means of the bids are slightly
larger at most value draws in LoserRegret auctions, the p values
for the Wilcoxon rank-sum test and the Kolmogorov-Smirnov test
for equality of distribution of bids, suggest that the hypothesis of
equality of distribution of bids cannot be rejected at any value draw
except for ECU value = 67 at 10% level. Second, we calculate the
bid-value ratio for each bid-value pair. In Fig. 1, the cumulative
distribution functions (CDFs) of the bid-value ratios for LoserRegret
the vide
Co
auctions and NoFeedback auctions are plotted. The CDF of the
bid-value ratio for LoserRegret lies below the corresponding CDF
for NoFeedback auctions for bid-value ratio less than 0.8; however
for bid-value ratio larger than 0.8, the CDFs for these treatments
tend to overlap. This figure indicates slightly more aggressive
bidding in LoserRegret auctions.
We further explore treatment differences by estimating the
following:
yir = a + BR+ ni.r
(1)
where i = 1, 2, ..., N; r = 1, 2,..., 10, and R = 1 for LoserRegret
auctions, 0 otherwise and nir are errors. The dependent variable
yir equals the bid or the bid-value ratio in various specifications.
If yir = bidi,r value-fixed effects were added. If yir= bidir (Vi.r =
5 These differences are consistent with the feedback (treatment) conditions
reported in FO.
Transcribed Image Text:វ៉ Co (0 5 3 2 O x LoserRegret auctions o NoFeedback auctions IM 0 .1 000 2 BO 3 4 .5 ratio .6 A. Ratan, Y. Wen/Economics Letters 143 (2016) 114-117 .7 8 .9 1 Fig. 1. Empirical distribution of the bid/value ratio by type of auction. (Salo and Weber, 1995)-are not relevant for bidding in our design.² Our results do not suggest any significant differences based on an- ticipated regret across treatments.³ 2. The experiment We use FP auctions in which human participants bid against pre-programmed computers; this allows that objective probabili- ties of winning conditional on bids can be derived. The experiment was run at the Monash Laboratory for Experimental Economics at Monash University. Students in undergraduate and master's level courses in various disciplines participated in the experiment. Each participant was randomly assigned to a treatment (see Appendix A for instructions). 2.1. LoserRegret auctions The sequence of events in a session corresponding to LoserRe- gret auctions were as follows: 1. Initial instructions described the showup fee (7 AUD) and the rate at which experimental currency-ECU was converted to money (AUD). The following instructions were communicated: (a) there will be 10 rounds in a session. (b) In each round, participants would be bidding in a FP auction against three pre-programmed computer bidders: each computer opponent would submit a bid by drawing randomly and independently from the set (0.75, 1.5, 2.25,...,75), and each number had an equal chance of being drawn. Participants could be as- signed values drawn from the set of integers: {1, 2, 3, ..., 100). (c) Participants could bid discrete integers up to their values and could not see the bids submitted by rival bidders at the time of bidding, (d) the highest bidder would win the auction and pay 2 Our study has developed contemporaneously with Katuščák et al. (2015) in which treatment conditions similar to ours, have been studied. 3 Thus, we are equating feedback with regret as in FO. Although recent papers have attempted to generalize the regret theory (e.g. Saran and Serrano, 2014), the theory as applied to auctions (FO, EWK) does not specify the circumstances under which regret may or may not be anticipated. 4 These bids correspond to 75% of the values that could have been drawn for computer bidders from the set (1, 2, 3, ..., 100) in each auction using alternative procedures. Thus, in our design computer bidders submit risk-neutral Nash bids without subjects being explicitly instructed about the correspondence between computer bids and value. Thus, we are able to circumvent the "anchoring" confound which may have influenced bidding if a bidding rule which described computer bids as a fraction of their values was used. 115 a price equal to her bid. Ties would be resolved in favor of the human bidder: if the bid submitted by the human agent was among the highest bids, then he would be the winner, (e) after bids were submitted for 10 rounds, auction outcomes would be revealed such that participants would get to know their earn- ings based on auction outcomes and one of the 10 rounds would be selected randomly for final payment. 2. A short quiz was administered to evaluate participants' under- standing of the instructions and participants practiced bidding in three unpaid rounds. 3. In the bidding rounds that had payoff consequences a set of values was created by pre-selecting 10 ECU values from the set (1, 2... 100). The set of 10 values selected was (31, 37, 43, 49, 55, 61, 67, 73, 79, 85). This set was fixed for each partici- pant. Values were assigned to participants (in each round) by drawing randomly without replacement from this set. 2.2. Treatment differences The sequence of events for NoFeedback auctions was similar to those above, except for the following design differences. The bidders were instructed that after bids have been submitted for all rounds the computer will display whether they won the auction or not, their earnings based on auction outcomes, and a. LoserRegret auctions: the highest (winning) bid for that auction. b. NoFeedback auctions: any other information regarding the bids of the other bidders will not be shown.5 Table 1 summarizes treatment differences. 3. Results A total of 40 and 38 participants were assigned to LoserRegret and NoFeedback auctions, respectively. The actual mean payoff for a participant inclusive of the participation fee was about AUD 23. The summary statistics for bids at various value draws arereported in Table 2. Treatment differences First, we explore treatment differences at various value draws. As described in Table 2, although the means of the bids are slightly larger at most value draws in LoserRegret auctions, the p values for the Wilcoxon rank-sum test and the Kolmogorov-Smirnov test for equality of distribution of bids, suggest that the hypothesis of equality of distribution of bids cannot be rejected at any value draw except for ECU value = 67 at 10% level. Second, we calculate the bid-value ratio for each bid-value pair. In Fig. 1, the cumulative distribution functions (CDFs) of the bid-value ratios for LoserRegret the vide Co auctions and NoFeedback auctions are plotted. The CDF of the bid-value ratio for LoserRegret lies below the corresponding CDF for NoFeedback auctions for bid-value ratio less than 0.8; however for bid-value ratio larger than 0.8, the CDFs for these treatments tend to overlap. This figure indicates slightly more aggressive bidding in LoserRegret auctions. We further explore treatment differences by estimating the following: yir = a + BR+ ni.r (1) where i = 1, 2, ..., N; r = 1, 2,..., 10, and R = 1 for LoserRegret auctions, 0 otherwise and nir are errors. The dependent variable yir equals the bid or the bid-value ratio in various specifications. If yir = bidi,r value-fixed effects were added. If yir= bidir (Vi.r = 5 These differences are consistent with the feedback (treatment) conditions reported in FO.
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