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© 2017. Company Confidential and Not for Redistribution. bill@scientificrevenue.com 1
What Makes a Price a “Good Price”
Pocket Gamer Connects, Helsinki, 2017
William Grosso, CEO Scientific Revenue
bill@scientificrevenue.com
© 2017. Company Confidential and Not for Redistribution. bill@scientificrevenue.com 2
<<TL;DR>>
© 2017. Company Confidential and Not for Redistribution. bill@scientificrevenue.com 3
Basic Payment Wall Design FTW
© 2017. Company Confidential and Not for Redistribution. bill@scientificrevenue.com 4
Measure Everything
© 2017. Company Confidential and Not for Redistribution. bill@scientificrevenue.com 5
Read the (Academic) Papers
• Penny wise and pound foolish the left-digit effect in price cognition--
http://forum.johnson.cornell.edu/faculty/mthomas/LeftDigitEffect.pdf
• Psychological aspects of price an empirical test of order and range
effects -- http://marketing-
bulletin.massey.ac.nz/V14/MB_V14_N1_Bennett.pdf
• Widespread use of odd pricing in retail sector-- https://marketing-
bulletin.massey.ac.nz/V8/MB_V8_N1_Holdershaw.pdf
• The 99 Price Ending As a Signal of a Low-Price Appeal --
http://www.acrwebsite.org/volumes/8788/volumes/v30/NA-30
• Patterns of Rightmost Digits Used in Advertised Prices: Implications for Nine-Ending Effects --
https://academic.oup.com/jcr/article-abstract/24/2/192/1794913/Patterns-of-Rightmost-
Digits-Used-in-Advertised?redirectedFrom=fulltext
• Increased consumer sales response though use of 99-ending prices--
http://www.sciencedirect.com/science/article/pii/S0022435996900135
• Regular prices and sales--
http://onlinelibrary.wiley.com/doi/10.3982/TE1274/pdf
• Psychological Thresholds, Demand, and Price Rigidity --
http://users.uoa.gr/~sdrakop/manch92.pdf
© 2017. Company Confidential and Not for Redistribution. bill@scientificrevenue.com 6
Read the Popularizations Too
© 2017. Company Confidential and Not for Redistribution. bill@scientificrevenue.com 7
Outline
• Classical Economics
• Gaming Literature is Often Wrong
• Academic Pricing Literature
• An Example of Behavioral Finance in Action
• What Really Happens
© 2017. Company Confidential and Not for Redistribution. bill@scientificrevenue.com 8
Utility Functions
• People have a function, called a utility function
• F: {G} ->
• Bigger number == more utility == preferred thing
• Decreasing marginal utility
The utility of 10 cookies is not
10 times the utility of a single
cookie
© 2017. Company Confidential and Not for Redistribution. bill@scientificrevenue.com 9
Volume Discounts
• Volume discounts are necessary to combat
decreasing marginal utility
• Users value the 10’th cookie less, so if you’re selling bundles
you need to charge less for the 10’th cookie.
• Benefits of volume discounts:
• If user is hit by a garbage truck, you still have the money
• User more likely to come back (commitment effect)
• Problems:
• Easy to accidentally “give away the game”
• Not a lot of literature on how to do volume discounts
effectively
© 2017. Company Confidential and Not for Redistribution. bill@scientificrevenue.com 10
Beware: Cannibalization
• The marginal utility of your 10’th cookie is not the
same as the utility of the cookie 5 days from now
• This is why we pay attention to wallet velocity
and training effects
• Is there a training effect?
• If you have more cookies, do you eat them faster?
© 2017. Company Confidential and Not for Redistribution. bill@scientificrevenue.com 11
Outline
• Classical Economics
• Gaming Literature is Often Wrong
• Academic Pricing Literature
• An Example of Behavioral Finance in Action
• What Really Happens
© 2017. Company Confidential and Not for Redistribution. bill@scientificrevenue.com 12
Good Folklore
© 2017. Company Confidential and Not for Redistribution. bill@scientificrevenue.com 13
Less Good Folklore
© 2017. Company Confidential and Not for Redistribution. bill@scientificrevenue.com 14
Outline
• Classical Economics
• Gaming Literature is Often Wrong
• Academic Pricing Literature
• An Example of Behavioral Finance in Action
• What Really Happens
© 2017. Company Confidential and Not for Redistribution. bill@scientificrevenue.com 15
Penny Wise and Pound Foolish
• Separate out the price value from the perceived
magnitude
• “Analog model of numerical cognition”
• Brains don’t store digits separately – convert numerical
symbols to “analog magnitude”
• Magnitude encoding starts while we’re still reading the
number (brain doesn’t wait)
© 2017. Company Confidential and Not for Redistribution. bill@scientificrevenue.com 16
Psychological Aspects of Price
• “This study tested the effects of price order, price
range, and number of price points on the average
price respondents are willing to pay.”
© 2017. Company Confidential and Not for Redistribution. bill@scientificrevenue.com 17
Widespread Use of Odd Prices
© 2017. Company Confidential and Not for Redistribution. bill@scientificrevenue.com 18
Patterns of Rightmost Digits
• Round numbers, and numbers ending in 5, are
more “cognitively accessible” (“available”)
• Subconscious relies on “available” numbers
• People remember “available” numbers better
• Perceived gain effect (Prospect theory):
• “$4.99” == “$5 + a bonus”
• “$5.01” == “$5 + a loss”
• Weak evidence
• Underestimation effect:
• Analog number model essentially implies truncation
• Strong evidence
© 2017. Company Confidential and Not for Redistribution. bill@scientificrevenue.com 19
Effects of Pricing and Promotion on
Consumer Perceptions
• “Consumers often consider the discounted price,
rather than the initial price claim, to be the ‘true’
price of the item”
• “Our findings suggest marketers should consider
offering free gifts instead of discounts”
© 2017. Company Confidential and Not for Redistribution. bill@scientificrevenue.com 20
Outline
• Classical Economics
• Gaming Literature is Often Wrong
• Academic Pricing Literature
• An Example of Behavioral Finance in Action
• What Really Happens
© 2017. Company Confidential and Not for Redistribution. bill@scientificrevenue.com 21
Customer Walls
• 4 Payment Walls
• $.99 and $1.99 and then with slot orders changed ($9.99
moved to first position)
© 2017. Company Confidential and Not for Redistribution. bill@scientificrevenue.com 22
Customer Conversion and Models
• Leading with $.99
increases conversion
• Leading with $9.99
increases overall
monetization
• Machine learning
sends 65% of people
to walls leading with
$9.99
© 2017. Company Confidential and Not for Redistribution. bill@scientificrevenue.com 23
Primary Explanation: Loss Aversion
Moving off the first
position gives me free
hints!
Moving off the first
position costs me free
hints!!!
© 2017. Company Confidential and Not for Redistribution. bill@scientificrevenue.com 24
More Generally, Prospect Theory
Prospect theory leads to:
• Offer a discount; don’t charge a premium (phrasing)
• Small price changes capture most of the behavioral change (when
messaged appropriately)
• Losses impact more than gains
© 2017. Company Confidential and Not for Redistribution. bill@scientificrevenue.com 25
Outline
• Classical Economics
• Gaming Literature is Often Wrong
• Academic Pricing Literature
• An Example of Behavioral Finance in Action
• What Really Happens
© 2017. Company Confidential and Not for Redistribution. bill@scientificrevenue.com 26
People Look at Prices
• They look at the actual amount they will be
spending (and the prices that are available)
• They look at the overall package they will be getting
• And they say “hmmm… good deal” (or not)
• They are aware of unit-prices at a subliminal level
• And at an approximate level
• But not at an exact level (.0027 dollars per coin)
© 2017. Company Confidential and Not for Redistribution. bill@scientificrevenue.com 27
The Lowest Immediately Perceived Price
has “Gatekeeper” Role
• It’s a gatekeeper on first purchases
• If the cheapest price is $49.99, it doesn’t matter what you’re
selling
• If the cheapest price is $.99, people will look more
• This is why games have adopted “windowing”
• Once the player has spent, they don’t need permission to
spend
• Similarly, a prominent “expensive” price has an
gatekeeper effect on first purchases
© 2017. Company Confidential and Not for Redistribution. bill@scientificrevenue.com 28
People Upsell Themselves by Pairwise
Comparison
• They look at the thing that draws their eye
• Could be first, could be highlighted, could be ….
• It has gatekeeper effect
• It is the default purchase
• They then look to nearby things
• If the nearby things are obviously better deals, they might
upsell themselves (they might not; depends on their utility
function)
• If they can’t figure out whether the neighboring thing is a
better deal without thinking, they won’t upsell themselves
© 2017. Company Confidential and Not for Redistribution. bill@scientificrevenue.com 29
Pairwise Comparison Must be Automatic
• Subconscious
• Introducing friction forces conscious thinking
• Bad things
• “Weird” prices
• Fractions
• “Close” comparisons
• Layouts that don’t facilitate pairwise comparison
© 2017. Company Confidential and Not for Redistribution. bill@scientificrevenue.com 30
Pairwise Comparison Has to be Automatic
Is going from (3) to (4) a good idea? Kind of
• Price goes up by 1.5
• 1.5 * 125 = 187.5 so … the unit price went down!
• Make it 250!
© 2017. Company Confidential and Not for Redistribution. bill@scientificrevenue.com 31
What Makes a Price a “Good Price”
Pocket Gamer Connects, Helsinki, 2017
William Grosso, CEO Scientific Revenue
bill@scientificrevenue.com

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What makes a price a good price

  • 1. © 2017. Company Confidential and Not for Redistribution. bill@scientificrevenue.com 1 What Makes a Price a “Good Price” Pocket Gamer Connects, Helsinki, 2017 William Grosso, CEO Scientific Revenue bill@scientificrevenue.com
  • 2. © 2017. Company Confidential and Not for Redistribution. bill@scientificrevenue.com 2 <<TL;DR>>
  • 3. © 2017. Company Confidential and Not for Redistribution. bill@scientificrevenue.com 3 Basic Payment Wall Design FTW
  • 4. © 2017. Company Confidential and Not for Redistribution. bill@scientificrevenue.com 4 Measure Everything
  • 5. © 2017. Company Confidential and Not for Redistribution. bill@scientificrevenue.com 5 Read the (Academic) Papers • Penny wise and pound foolish the left-digit effect in price cognition-- http://forum.johnson.cornell.edu/faculty/mthomas/LeftDigitEffect.pdf • Psychological aspects of price an empirical test of order and range effects -- http://marketing- bulletin.massey.ac.nz/V14/MB_V14_N1_Bennett.pdf • Widespread use of odd pricing in retail sector-- https://marketing- bulletin.massey.ac.nz/V8/MB_V8_N1_Holdershaw.pdf • The 99 Price Ending As a Signal of a Low-Price Appeal -- http://www.acrwebsite.org/volumes/8788/volumes/v30/NA-30 • Patterns of Rightmost Digits Used in Advertised Prices: Implications for Nine-Ending Effects -- https://academic.oup.com/jcr/article-abstract/24/2/192/1794913/Patterns-of-Rightmost- Digits-Used-in-Advertised?redirectedFrom=fulltext • Increased consumer sales response though use of 99-ending prices-- http://www.sciencedirect.com/science/article/pii/S0022435996900135 • Regular prices and sales-- http://onlinelibrary.wiley.com/doi/10.3982/TE1274/pdf • Psychological Thresholds, Demand, and Price Rigidity -- http://users.uoa.gr/~sdrakop/manch92.pdf
  • 6. © 2017. Company Confidential and Not for Redistribution. bill@scientificrevenue.com 6 Read the Popularizations Too
  • 7. © 2017. Company Confidential and Not for Redistribution. bill@scientificrevenue.com 7 Outline • Classical Economics • Gaming Literature is Often Wrong • Academic Pricing Literature • An Example of Behavioral Finance in Action • What Really Happens
  • 8. © 2017. Company Confidential and Not for Redistribution. bill@scientificrevenue.com 8 Utility Functions • People have a function, called a utility function • F: {G} -> • Bigger number == more utility == preferred thing • Decreasing marginal utility The utility of 10 cookies is not 10 times the utility of a single cookie
  • 9. © 2017. Company Confidential and Not for Redistribution. bill@scientificrevenue.com 9 Volume Discounts • Volume discounts are necessary to combat decreasing marginal utility • Users value the 10’th cookie less, so if you’re selling bundles you need to charge less for the 10’th cookie. • Benefits of volume discounts: • If user is hit by a garbage truck, you still have the money • User more likely to come back (commitment effect) • Problems: • Easy to accidentally “give away the game” • Not a lot of literature on how to do volume discounts effectively
  • 10. © 2017. Company Confidential and Not for Redistribution. bill@scientificrevenue.com 10 Beware: Cannibalization • The marginal utility of your 10’th cookie is not the same as the utility of the cookie 5 days from now • This is why we pay attention to wallet velocity and training effects • Is there a training effect? • If you have more cookies, do you eat them faster?
  • 11. © 2017. Company Confidential and Not for Redistribution. bill@scientificrevenue.com 11 Outline • Classical Economics • Gaming Literature is Often Wrong • Academic Pricing Literature • An Example of Behavioral Finance in Action • What Really Happens
  • 12. © 2017. Company Confidential and Not for Redistribution. bill@scientificrevenue.com 12 Good Folklore
  • 13. © 2017. Company Confidential and Not for Redistribution. bill@scientificrevenue.com 13 Less Good Folklore
  • 14. © 2017. Company Confidential and Not for Redistribution. bill@scientificrevenue.com 14 Outline • Classical Economics • Gaming Literature is Often Wrong • Academic Pricing Literature • An Example of Behavioral Finance in Action • What Really Happens
  • 15. © 2017. Company Confidential and Not for Redistribution. bill@scientificrevenue.com 15 Penny Wise and Pound Foolish • Separate out the price value from the perceived magnitude • “Analog model of numerical cognition” • Brains don’t store digits separately – convert numerical symbols to “analog magnitude” • Magnitude encoding starts while we’re still reading the number (brain doesn’t wait)
  • 16. © 2017. Company Confidential and Not for Redistribution. bill@scientificrevenue.com 16 Psychological Aspects of Price • “This study tested the effects of price order, price range, and number of price points on the average price respondents are willing to pay.”
  • 17. © 2017. Company Confidential and Not for Redistribution. bill@scientificrevenue.com 17 Widespread Use of Odd Prices
  • 18. © 2017. Company Confidential and Not for Redistribution. bill@scientificrevenue.com 18 Patterns of Rightmost Digits • Round numbers, and numbers ending in 5, are more “cognitively accessible” (“available”) • Subconscious relies on “available” numbers • People remember “available” numbers better • Perceived gain effect (Prospect theory): • “$4.99” == “$5 + a bonus” • “$5.01” == “$5 + a loss” • Weak evidence • Underestimation effect: • Analog number model essentially implies truncation • Strong evidence
  • 19. © 2017. Company Confidential and Not for Redistribution. bill@scientificrevenue.com 19 Effects of Pricing and Promotion on Consumer Perceptions • “Consumers often consider the discounted price, rather than the initial price claim, to be the ‘true’ price of the item” • “Our findings suggest marketers should consider offering free gifts instead of discounts”
  • 20. © 2017. Company Confidential and Not for Redistribution. bill@scientificrevenue.com 20 Outline • Classical Economics • Gaming Literature is Often Wrong • Academic Pricing Literature • An Example of Behavioral Finance in Action • What Really Happens
  • 21. © 2017. Company Confidential and Not for Redistribution. bill@scientificrevenue.com 21 Customer Walls • 4 Payment Walls • $.99 and $1.99 and then with slot orders changed ($9.99 moved to first position)
  • 22. © 2017. Company Confidential and Not for Redistribution. bill@scientificrevenue.com 22 Customer Conversion and Models • Leading with $.99 increases conversion • Leading with $9.99 increases overall monetization • Machine learning sends 65% of people to walls leading with $9.99
  • 23. © 2017. Company Confidential and Not for Redistribution. bill@scientificrevenue.com 23 Primary Explanation: Loss Aversion Moving off the first position gives me free hints! Moving off the first position costs me free hints!!!
  • 24. © 2017. Company Confidential and Not for Redistribution. bill@scientificrevenue.com 24 More Generally, Prospect Theory Prospect theory leads to: • Offer a discount; don’t charge a premium (phrasing) • Small price changes capture most of the behavioral change (when messaged appropriately) • Losses impact more than gains
  • 25. © 2017. Company Confidential and Not for Redistribution. bill@scientificrevenue.com 25 Outline • Classical Economics • Gaming Literature is Often Wrong • Academic Pricing Literature • An Example of Behavioral Finance in Action • What Really Happens
  • 26. © 2017. Company Confidential and Not for Redistribution. bill@scientificrevenue.com 26 People Look at Prices • They look at the actual amount they will be spending (and the prices that are available) • They look at the overall package they will be getting • And they say “hmmm… good deal” (or not) • They are aware of unit-prices at a subliminal level • And at an approximate level • But not at an exact level (.0027 dollars per coin)
  • 27. © 2017. Company Confidential and Not for Redistribution. bill@scientificrevenue.com 27 The Lowest Immediately Perceived Price has “Gatekeeper” Role • It’s a gatekeeper on first purchases • If the cheapest price is $49.99, it doesn’t matter what you’re selling • If the cheapest price is $.99, people will look more • This is why games have adopted “windowing” • Once the player has spent, they don’t need permission to spend • Similarly, a prominent “expensive” price has an gatekeeper effect on first purchases
  • 28. © 2017. Company Confidential and Not for Redistribution. bill@scientificrevenue.com 28 People Upsell Themselves by Pairwise Comparison • They look at the thing that draws their eye • Could be first, could be highlighted, could be …. • It has gatekeeper effect • It is the default purchase • They then look to nearby things • If the nearby things are obviously better deals, they might upsell themselves (they might not; depends on their utility function) • If they can’t figure out whether the neighboring thing is a better deal without thinking, they won’t upsell themselves
  • 29. © 2017. Company Confidential and Not for Redistribution. bill@scientificrevenue.com 29 Pairwise Comparison Must be Automatic • Subconscious • Introducing friction forces conscious thinking • Bad things • “Weird” prices • Fractions • “Close” comparisons • Layouts that don’t facilitate pairwise comparison
  • 30. © 2017. Company Confidential and Not for Redistribution. bill@scientificrevenue.com 30 Pairwise Comparison Has to be Automatic Is going from (3) to (4) a good idea? Kind of • Price goes up by 1.5 • 1.5 * 125 = 187.5 so … the unit price went down! • Make it 250!
  • 31. © 2017. Company Confidential and Not for Redistribution. bill@scientificrevenue.com 31 What Makes a Price a “Good Price” Pocket Gamer Connects, Helsinki, 2017 William Grosso, CEO Scientific Revenue bill@scientificrevenue.com