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3 changed files with 255 additions and 28 deletions

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.gitignore vendored Normal file
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main/main.exe

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auctionsim/summary.go Normal file
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package auctionsim
import (
"math"
"strconv"
)
// Digits of precision in floating-point values in CSVs.
const CSVPrecision = 10
/**
* ResultSummary contains notable results of an auction.
*/
type ResultSummary struct {
/// The number of bidders in the auction.
Bidders int
/// The price the item sold for.
Price float64
/// The amount of value the winner actually got out of the auctioned item.
WinnerValue float64
/// The highest bid the auction winner was willing to make.
WinnerMaxBid float64
/**
* The amount by which the winner's value of the item exceeded the price
* they paid. Often negative.
*/
WinnerProfit float64
/**
* Number of losing bidders who had a "true value" of the item in excess
* of the price paid.
*/
LosersWithRegrets int
/// The most the item was genuinely worth to any bidder.
HighestValue float64
/// The most the bidder with the highest value would have been willing to pay.
HighestValuatorBid float64
/**
* How much the bidder with the highest value would have made in profit had
* they won the auction for the price the auction's actual winner paid.
* Often negative, indicating nobody would have made money on the auction.
* If this is zero or negative, there are 0 losers with regrets.
*/
MissedProfit float64
/**
* How much more valuable the item was to the bidder with the highest value
* than it was to the auction's eventual winner, irrespective of winning bid.
*/
ValueDelta float64
/**
* The rank of the bidder who actually had the highest value of the item.
* The winner of the auction has rank 1. If all bidders had a true value of
* negative infinity for the item, this will be greater than the number of
* bidders.
*/
HighestValueRank int
}
/**
* Summarize takes an already-sorted list of bidders (see RunAuctionVerbosely)
* and the winning auction price, and calculates a ResultSummary for that auction.
*/
func Summarize(price float64, allBidders []Bidder) *ResultSummary {
regrets := 0
maxValue := math.Inf(-1)
maxIdx := -1
for i, b := range allBidders {
if b.Value > maxValue {
maxValue = b.Value
maxIdx = i
}
if b.Value > price {
regrets++
}
}
winner := allBidders[len(allBidders)-1]
rube := Bidder{Value: math.Inf(-1)}
if maxIdx >= 0 {
rube = allBidders[maxIdx]
}
return &ResultSummary{
Bidders: len(allBidders),
Price: price,
WinnerValue: winner.Value,
WinnerMaxBid: winner.BidCeiling(),
WinnerProfit: winner.Value - price,
LosersWithRegrets: regrets,
HighestValue: maxValue,
HighestValuatorBid: rube.BidCeiling(),
MissedProfit: rube.Value - price,
ValueDelta: maxValue - winner.Value,
HighestValueRank: len(allBidders) - maxIdx,
}
}
/**
* ResultSummaryCSVHeader returns column labels for the records emitted by
* (*ResultSummary).CSVRecord().
*/
func ResultSummaryCSVHeader() []string {
return []string{
"Bidders",
"Price",
"WinnerValue",
"WinnerMaxBid",
"WinnerProfit",
"LosersWithRegrets",
"HighestValue",
"HighestValuatorBid",
"MissedProfit",
"ValueDelta",
"HighestValueRank",
}
}
func csvFloat(f float64) string {
return strconv.FormatFloat(f, 'g', CSVPrecision, 64)
}
/**
* CSVRecord returns rows intended for use with encoding/csv.Writer, with
* columns in the order specified by ResultSummaryCSVHeader().
*/
func (s *ResultSummary) CSVRecord() []string {
return []string{
strconv.Itoa(s.Bidders),
csvFloat(s.Price),
csvFloat(s.WinnerValue),
csvFloat(s.WinnerMaxBid),
csvFloat(s.WinnerProfit),
strconv.Itoa(s.LosersWithRegrets),
csvFloat(s.HighestValue),
csvFloat(s.HighestValuatorBid),
csvFloat(s.MissedProfit),
csvFloat(s.ValueDelta),
strconv.Itoa(s.HighestValueRank),
}
}

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package main
import (
"encoding/csv"
"flag"
"fmt"
"log"
"os"
"strconv"
"git.chromaticdragon.app/kistaro/auctionsim/auctionsim"
"log"
"math"
"math/rand"
"os"
"strings"
)
func main() {
num := 1000
if len(os.Args) > 1 {
n, err := strconv.ParseInt(os.Args[1], 0, 64)
if err != nil {
log.Fatalf("can't parse %q as a number of bidders: %v", os.Args[1], err)
}
num = n
}
if num <= 1 {
log.Fatalf("can't run an auction with %d bidders", num)
}
var (
bidders = flag.Int("b", 1000, "Number of bidders in each auction.")
runs = flag.Int("r", 1, "Number of auctions to run.")
price, bidder := auctionsim.RunAuction(
auctionsim.CappedBidderGenerator{
G: auctionsim.NormalestBidderGenerator(),
Lim: num,
},
)
errorDev = flag.Float64("d", 1.0, "Standard deviation of bidder irrationality.")
errorMean = flag.Float64("m", 0.0, "Mean of bidder irrationality. Negative values represent a bias towards underbidding.")
delta := bidder.Value - price
valueStr := "gaining nothing"
format = flag.String("f", "txt", "Output format: plain text (\"txt\") or CSV (\"csv\").")
)
func deltaStr(delta float64) string {
if delta > 0 {
valueStr = fmt.Sprintf("gaining ¤%f", delta)
return fmt.Sprintf("gained ¤%f", delta)
}
if delta < 0 {
valueStr = fmt.Sprintf("losing ¤%f", -delta)
return fmt.Sprintf("lost ¤%f", -delta)
}
return "broken even"
}
func normalizeFormat() error {
*format = strings.ToLower(*format)
if *format == "txt" {
return nil
}
if *format == "csv" {
return nil
}
return fmt.Errorf("unrecognized format: %q", *format)
}
type emitter interface {
Emit(*auctionsim.ResultSummary)
Flush()
}
type textEmitter struct {
notFirst bool
}
func (t *textEmitter) Emit(summary *auctionsim.ResultSummary) {
if t.notFirst {
fmt.Println()
fmt.Println("-----------------")
fmt.Println()
}
t.notFirst = true
fmt.Printf("The auction winner paid ¤%f. They have %s.\n", summary.Price, deltaStr(summary.WinnerProfit))
fmt.Printf("The item was worth ¤%f to them.\n", summary.WinnerValue)
fmt.Printf("They would have paid up to ¤%f for it.\n", summary.WinnerMaxBid)
fmt.Println()
if summary.LosersWithRegrets < 1 {
fmt.Println("The item was not worth that to anybody.")
} else {
fmt.Printf("The item was worth that to %d bidders, who stopped bidding too soon.\n", summary.LosersWithRegrets)
}
fmt.Printf("The auction winner paid ¤%f, %s.\n", price, valueStr)
fmt.Printf("The item was worth ¤%f to them.\n", bidder.Value)
fmt.Printf("They would have paid up to ¤%f for it.\n", bidder.BidCeiling())
fmt.Println()
if summary.HighestValueRank > summary.Bidders {
fmt.Println("Wow! It was infinitely beyond worthless to everybody.")
} else {
fmt.Printf("The bidder who would have gotten the most value was outbid by %d bidders.\n", summary.HighestValueRank-1)
fmt.Printf("The item was worth at most ¤%f to them. Their maximum bid was ¤%f.\n", summary.HighestValue, summary.HighestValuatorBid)
fmt.Printf("If they had paid the winning bid, they would have %s.\n", deltaStr(summary.MissedProfit))
fmt.Printf("They valued it ¤%f more than the winning bidder.\n", summary.ValueDelta)
}
}
func (*textEmitter) Flush() {}
type csvEmitter struct {
w *csv.Writer
}
func (c *csvEmitter) Emit(summary *auctionsim.ResultSummary) {
c.w.Write(summary.CSVRecord())
}
func (c *csvEmitter) Flush() {
c.w.Flush()
}
func main() {
flag.Parse()
if err := normalizeFormat(); err != nil {
log.Fatal(err)
}
e := emitter(&textEmitter{})
if *format == "csv" {
w := csv.NewWriter(os.Stdout)
e = &csvEmitter{w}
w.Write(auctionsim.ResultSummaryCSVHeader())
}
defer e.Flush()
for i := 0; i < *runs; i++ {
g := &auctionsim.BiddersFromDistributions{
Values: auctionsim.NormalestDistribution(),
Irrationalities: &auctionsim.NormalDistribution{
Rand: rand.New(rand.NewSource(int64(rand.Uint64()))),
StdDev: *errorDev,
Mean: *errorMean,
},
Bankrolls: auctionsim.ConstDistribution(math.Inf(1)),
}
e.Emit(auctionsim.Summarize(auctionsim.RunAuctionVerbosely(
&auctionsim.CappedBidderGenerator{
G: g,
Lim: int64(*bidders),
},
)))
}
}