# Esplanade Club 2013 Payoff Matrices

*by Matthew Kidd*

April 14, 2014

I introduced the Payoff Matrix concept last October and showed results for six years of the La Jolla unit game based on the output generated by the Payoff Matrix software. Here I present similar results for the 2013 calendar year for the Esplanade Club in San Diego. As usual, the data shown in the visual matrices is limited to regular partnerships who play in enough sessions to generate decent statistics but full data is presented in the tab delimited text files which are available as a download at the end of this page.

The Esplanade Club runs several sessions per week, both open and limited games. The following table shows the average field strength for each session in order of decreasing strength. The 2013 La Jolla unit and San Diego unit open games are also included for comparison.

Session | Mean (MP) | Geomean (MP) |
---|---|---|

San Diego Unit open pairs | 2874 | 1787 |

La Jolla Unit open pairs | 2711 | 1567 |

Esplanade Tue Eve open pairs | 1770 | 940 |

Esplanade Thu Eve Mentor/Mentee open pairs | 1468 | 531 |

Esplanade Wed Aft open pairs | 1021 | 496 |

Esplanade Fri Mor open pairs | 769 | 384 |

Esplanade Tue Mor 499er pairs | 77 | 39 |

Esplanade Thu Mor 499er pairs | 60 | 29 |

Both the mean and geometric mean is shown. I have argued previously that the geometric mean is a better indicator of field strength than the mean. In a geometric mean, the mean is taken in a logarithmic manner. For example, the geometric mean of two players with 10 and 1000 MP respectively, is 100 MP not 505 MP. Less experienced players drag down the geometric mean more than the arithmetic mean. A field with a high geometric mean should in principle be uniformly fairly tough and offer few gifts.

The Esplanade payoff matrices are presented below in the order of decreasing field strength according to the table above.

## Esplanade Tuesday evening pairs

Timothy Flaherty and John Houde dominated the Tuesday evening game in 2013 with a 59.52% average, beating the runner up partnership of Timothy Flaherty and Rick Norton Jr. by a full 4.8%. This is a stunning difference considering that John Houde and Rick Norton Jr. have a similar number of masterpoints (2600 vs. 3000 at the end of 2013). The partnership of Timothy Flaherty and Rick Norton Jr at 54.70% barely edges out Spencer Emtage and Michele Zuniga (54.55%), Leon Fisher and Fred Flam (54.5%), Larry Erickson and Paul Foster (54.35%), and Rex and Sheila Latux (54.25%). These 54-something percent partnerships are close enough that we can only assert with 60% confidence that the partnership of Timothy Flaherty and Rick Norton Jr. is better than the partnership of Rex and Sheila Latux given the entire year of data for Tuesday evening.

There is a lot of payoff matrix data, an entry for every partnership-partnership interaction, easily several thousand interactions over the course of a year. But many of the interactions only involve a few boards. The payoff matrix can be simplified by limiting it to the interactions between regular partnerships. However, this reduction still leaves us with several hundred interactions. It helps to see the reduced results visually, as shown below.

Both axes list the partnerships in order of decreasing strength for partnerships who played at least 10 sessions in 2013. Each square shows how well the partnership listed on corresponding row does against the partnership in the corresponding column. The color scale runs from solid blue (30% or lower) to solid yellow (70% or better) with grey at 50%. White squares indicate partnerships that have never played any boards against each other. Pink squares indicate partnerships that can not interact because they have one or more players in common. The diagonal is always pink.

Move the mouse over the image to view the details for each square (matrix element). The hovering tooltip will show the names of the two partnerships, each partnership’s average against the field, the number of boards the partnerships have played against each other, and in bold the average results of those boards including an error. The average result shows how well the partnership on the row did against the partnership on the column. The matrix is anti-symmetric about the diagonal. Squares with a faint red X denote statistics based on relatively few boards, fewer than 10 in this case.

The upper right corner of the matrix is mostly yellow. This is because stronger partnerships usually have an advantage against weaker partnerships. Conversely the lower left corner is mostly blue. However, there are interesting exceptions. For example, Ginger Calvert and Cheryl Rodzach cross up Christine Denny and William Bidermann.

### Over/Underperformance

Even a weak partnership might cause another partnership a lot of trouble by doing far better against that partnership than the difference in skill against the field would suggest should be the case. We could say that the weak partnership is overperforming against the stronger partnership.

The matrix below corrects for the difference in partnership skill, showing how much each partnership overperforms or underperforms against another partnership. The blue to yellow scale runs from -20% to 20% with grey at 0%. Move the mouse of the image to view the details for each square (matrix element). As before the partnership names and average percentage are shown. The over-perform / under-perform percentage is shown in bold. The ordinary percentage from the previous figure is also shown. Note: the previous figure also shows the over/under-performance statistics after ‘OU:’ as in ‘OU: 9.7%’.

The more yellowish and bluish square in the second matrix above are interesting because they indicate a pair that is strongly over/underperforming against another pair. The following table lists these relations in descending degree of payoff (or “exploitability”) where the pair-pair percentage is derived from at least 16 boards. **Cnt** is the number of boards that each interaction percentage based on.

Overperforming Pair | Underperforming Pair | Cnt | OU% |
---|---|---|---|

Sheila Latus - Rex Latus | Ginger Calvert - Cheryl Rodzach | 23 | 14.18 |

Michele Zuniga - J Spencer Emtage | Leon Fisher - Fred Flam | 16 | 12.73 |

Janice Joerger - Marilyn Kalabsa | Sheila Latus - Rex Latus | 24 | 11.97 |

Lawrence Hauser - Barbara Hauser | Ginger Calvert - Cheryl Rodzach | 22 | 11.78 |

Rashad A Ansari - Jeffrey Leach | Jeanette Bentley - Chuck Siggins | 18 | 11.61 |

Richard Thome - Arthur Ostroff | M Ali Mahdavi - Nicholas Krall | 36 | 11.27 |

M Ali Mahdavi - Nicholas Krall | Mary Woo - Roberta Massey | 32 | 11.13 |

Suzanne Anson - Kay Childs | Rick Norton Jr - Timothy Flaherty | 16 | 10.78 |

Ginger Calvert - Cheryl Rodzach | Richard Thome - Arthur Ostroff | 21 | 10.53 |

Mary Woo - Roberta Massey | Lawrence Hauser - Barbara Hauser | 17 | 10.10 |

Vic Dhooge - Diana Glimm | Barbara Naschold - Donald Cooper | 56 | 9.99 |

Leon Fisher - Fred Flam | Mary Woo - Roberta Massey | 16 | 9.81 |

Rashad A Ansari - Jeffrey Leach | M Ali Mahdavi - Nicholas Krall | 18 | 9.57 |

Richard Thome - Arthur Ostroff | Vic Dhooge - Diana Glimm | 29 | 9.17 |

Lynn Wells - Janice Wells | Rick Norton Jr - Timothy Flaherty | 17 | 8.89 |

Joe Houde - Timothy Flaherty | M Ali Mahdavi - Nicholas Krall | 19 | 8.86 |

Suzanne Anson - Kay Childs | M Ali Mahdavi - Nicholas Krall | 32 | 8.45 |

Richard Thome - Arthur Ostroff | Leon Fisher - Fred Flam | 19 | 8.38 |

Emily Berkov - Barry Berkov | W John Devine - Jan Gallagher | 20 | 8.33 |

Harriet Smith - Judy Litman | Emily Berkov - Barry Berkov | 31 | 8.30 |

Mary Woo - Roberta Massey | Lynn Wells - Janice Wells | 31 | 8.29 |

Lynn Wells - Janice Wells | Rashad A Ansari - Jeffrey Leach | 23 | 8.23 |

Barbara Naschold - Donald Cooper | Lynn Wells - Janice Wells | 48 | 8.00 |

Lawrence Hauser - Barbara Hauser | Michele Zuniga - J Spencer Emtage | 22 | 7.95 |

M Ali Mahdavi - Nicholas Krall | Christine Denny - William Bidermann | 20 | 7.81 |

Paul Foster - Lawrence Erickson | Harriet Smith - Judy Litman | 60 | 7.71 |

Emily Berkov - Barry Berkov | Barbara Naschold - Donald Cooper | 35 | 7.69 |

Michele Zuniga - J Spencer Emtage | Jeanette Bentley - Chuck Siggins | 25 | 7.32 |

Christine Denny - William Bidermann | Vic Dhooge - Diana Glimm | 30 | 6.83 |

Lynn Wells - Janice Wells | Christine Denny - William Bidermann | 29 | 6.59 |

Jeanette Bentley - Chuck Siggins | Emily Berkov - Barry Berkov | 16 | 6.51 |

Paul Foster - Lawrence Erickson | M Ali Mahdavi - Nicholas Krall | 28 | 6.25 |

Harriet Smith - Judy Litman | Ginger Calvert - Cheryl Rodzach | 38 | 6.18 |

Lynn Wells - Janice Wells | M Ali Mahdavi - Nicholas Krall | 21 | 5.95 |

Harriet Smith - Judy Litman | Christine Denny - William Bidermann | 46 | 5.93 |

Dan Dayani - Bette Cornelius | Mary Woo - Roberta Massey | 16 | 5.88 |

Michele Zuniga - J Spencer Emtage | Sheila Latus - Rex Latus | 69 | 5.79 |

Harriet Smith - Judy Litman | M Ali Mahdavi - Nicholas Krall | 27 | 5.78 |

Ralph Dilley - John Kroener | Michele Zuniga - J Spencer Emtage | 18 | 5.66 |

Suzanne Anson - Kay Childs | Paul Foster - Lawrence Erickson | 54 | 5.57 |

Christine Denny - William Bidermann | W John Devine - Jan Gallagher | 39 | 5.48 |

Paul Foster - Lawrence Erickson | Ralph Dilley - John Kroener | 27 | 5.42 |

Emily Berkov - Barry Berkov | Vic Dhooge - Diana Glimm | 16 | 5.33 |

W John Devine - Jan Gallagher | Dan Dayani - Bette Cornelius | 17 | 5.32 |

Janice Joerger - Marilyn Kalabsa | Lynn Wells - Janice Wells | 20 | 5.23 |

Rick Norton Jr - Timothy Flaherty | Sheila Latus - Rex Latus | 20 | 5.16 |

M Ali Mahdavi - Nicholas Krall | Janice Joerger - Marilyn Kalabsa | 19 | 5.05 |

The table gives us much to speculate about and yet it is still a lot to absorb. Part of the difficulty is that many pairs are listed multiple times. A graph may be a better representation. Here is an example: OU ≥ 6%, where the graph represents the data in the table above down to advantages as small as 6%.

Unlike the Social Network graphs, the payoff graphs are *directed*, i.e they represent flow, the transport of over/underperformance around the partnership network. An incoming arrow represents a payoff to a partnership; an outgoing arrow represents payoff from a partnership.

It should be noted that although these are directed graphs, they are not *directed acyclic graphs* (DAGs), an important and well studied class of graphs. Cycles are easy to spot. For example Lynn and Janice Wells payoff to Mary Woo and Roberta Massey who payoff to
M Ali Mahdavi and Nicholas Krall who payoff to Rashad Ansari Jeffrey Leach who complete the cycle by paying off to Lynn Wells Janice Wells. So turns the wheel of exploitation.

Scientists and mathematicians may be concerned about the fact that inflow and outflow are not equal at each node (pair) given that the over/underperformance numbers have compensated for the difference in partnership ability. There are two reasons for this. First, only the most prominent and statistically confident payoffs are shown. Many smaller payoffs are suppressed in order to avoid total clutter. Second, the payoff calculations are based on different numbers of boards. For example, an underperformance of 3% over 40 boards would be balanced by a overperformance of 6% over 20 boards.

## Esplanade Thursday evening mentor/mentee pairs

This session has a fairly high mean field strength but a comparably low geometric mean field strength because half the players are mentees.

The straight up and over/underperformance matrices below list the partnerships in order of decreasing strength for partnerships who played at least 7 sessions in 2013. Nicholas and Diane Krall (55.96% from 7 games) barely edge out Spencer Emtage and Afick Sharar (55.57% from 15 games), with Paul Foster and Sandy Kucha (55.28% from 15 games) in third place. These are close results. Statistically we can only say with 58% confidence that the Kralls are better than Spence and Afick in this game. Best Thursday evening game of the year goes to Lance and Anne Malkind, one time visitors who walked away with a 71.5% game.

Here is the Over/underperformance table where the pair-pair percentage is derived from at least 16 boards and OU ≥ 4 is shown. **Cnt** is the number of boards that each interaction percentage based on. Or view the graph.

Overperforming Pair | Underperforming Pair | Cnt | OU% |
---|---|---|---|

Richard Thome - Lawrence Erickson | Ralph Dilley - John Kroener | 19 | 17.76 |

Barbara Naschold - Pat Matsumoto | Harriet Smith - Judy Litman | 19 | 13.22 |

Sandy Silverman - Vicki Shepperd Chin | Ralph Dilley - John Kroener | 20 | 12.76 |

Lynn Chambers - Tom Chambers | Ralph Dilley - John Kroener | 19 | 12.57 |

Lynn Chambers - Tom Chambers | Sandy Silverman - Vicki Shepperd Chin | 17 | 9.39 |

Sandy Silverman - Vicki Shepperd Chin | Janice Joerger - Marilyn Kalabsa | 22 | 9.12 |

Paul Foster - Sandy Kucha | Diane Krall - Nicholas Krall | 16 | 8.86 |

Diane Krall - Nicholas Krall | Richard Thome - Lawrence Erickson | 20 | 8.66 |

Paul Foster - Sandy Kucha | Richard Thome - Lawrence Erickson | 27 | 7.73 |

Richard Thome - Lawrence Erickson | Janice Joerger - Marilyn Kalabsa | 34 | 7.03 |

J Spencer Emtage - Afick Sharar | W John Devine - Jan Gallagher | 26 | 6.93 |

J Spencer Emtage - Afick Sharar | Donna Wood - David Goldfarb | 16 | 6.79 |

Richard Thome - Lawrence Erickson | Donna Wood - David Goldfarb | 16 | 6.17 |

Janice Joerger - Marilyn Kalabsa | Lynn Chambers - Tom Chambers | 16 | 5.84 |

Richard Thome - Lawrence Erickson | Barbara Naschold - Pat Matsumoto | 17 | 5.72 |

Paul Foster - Sandy Kucha | Ralph Dilley - John Kroener | 16 | 5.06 |

Harriet Smith - Judy Litman | Lynn Chambers - Tom Chambers | 27 | 4.36 |

Janice Joerger - Marilyn Kalabsa | Harriet Smith - Judy Litman | 26 | 4.18 |

Lynn Chambers - Tom Chambers | Richard Thome - Lawrence Erickson | 40 | 4.15 |

Sandy Silverman - Vicki Shepperd Chin | Joan Kroener - Jeanette Bentley | 20 | 4.05 |

## Esplanade Wednesday afternoon open pairs

The matrices are limited to pairs who have played at least 10 sessions. John and Rima Sharron lead the Wednesday afternoon game with a 58.09% average over 24 games. But they are closely followed by Larry Sherman and John Sack (57.63% over 18 games), a pair seasoned for several years by the often tough Soledad Thursday night game. Statistics only allows us to assert with 67% confidence that the Sharrons are the better pair. In third place, significantly behind is the partnership of Jan Gallagher and the late John Devine (55.85% over 24 games), allowing us to assert with 82% confidence that Larry and John are the better partnership.

Here is the Over/underperformance table where the pair-pair percentage is derived from at least 20 boards and OU ≥ 4 is shown. **Cnt** is the number of boards that each interaction percentage based on. Or view the graph.

Overperforming Pair | Underperforming Pair | Cnt | OU% |
---|---|---|---|

Jeanette Bentley - Chuck Siggins | Marvin Bauch - Robert Mann | 29 | 13.58 |

Marvin Bauch - Robert Mann | David Hawkins - Sharon Gabriel | 22 | 13.13 |

Sharon Kambestad - Marcia Trombold | Lawrence Sherman - John Sack | 21 | 12.73 |

Rima Sharron - John Sharron Jr | Kevin Chaisson - Meena Sethi | 38 | 11.53 |

Eric Juline - Peter Clark | Barbara Klein - Yael Aires | 20 | 11.19 |

Wootsie Stockton - Jamie Detweiler | Kevin Chaisson - Meena Sethi | 37 | 10.63 |

Florence Cohen - Judy Dveris | W John Devine - Jan Gallagher | 32 | 10.47 |

Terry Paul - Chrissy Fried | Hanan Deeby - Alice Lane | 22 | 10.28 |

Kevin Chaisson - Meena Sethi | Mary Lou Kammerer - Barbara Scherman | 21 | 10.02 |

Harriet Smith - Edie Block | Wootsie Stockton - Jamie Detweiler | 24 | 9.28 |

Harriet Smith - Edie Block | Eric Juline - Peter Clark | 26 | 9.10 |

David Hawkins - Sharon Gabriel | Florence Cohen - Judy Dveris | 28 | 8.97 |

Paul Foster - Sandy Kucha | Barbara Coffey - Charles Coffey | 26 | 8.21 |

Barbara Klein - Yael Aires | Terry Paul - Chrissy Fried | 21 | 7.76 |

Patricia Newman - Carol Abramowitz | Mary Ballin - Abe Gleiberman | 28 | 7.72 |

Terry Paul - Chrissy Fried | Mary Ballin - Abe Gleiberman | 37 | 7.57 |

Barbara Klein - Yael Aires | Richard Thome - Bob Schork | 21 | 7.29 |

Kevin Chaisson - Meena Sethi | Patricia Newman - Carol Abramowitz | 33 | 7.17 |

Lawrence Sherman - John Sack | Jeanette Bentley - Chuck Siggins | 22 | 7.14 |

Mary Ballin - Abe Gleiberman | Vicki Shepperd Chin - Mary Fenton | 23 | 7.10 |

Vicki Shepperd Chin - Mary Fenton | Kevin Chaisson - Meena Sethi | 21 | 6.54 |

Eric Juline - Peter Clark | Barbara Coffey - Charles Coffey | 47 | 6.45 |

Paul Foster - Sandy Kucha | Mary Ballin - Abe Gleiberman | 23 | 6.42 |

Hanan Deeby - Alice Lane | Florence Cohen - Judy Dveris | 24 | 6.19 |

Mary Ballin - Abe Gleiberman | Rima Sharron - John Sharron Jr | 27 | 5.88 |

Terry Paul - Chrissy Fried | Rose Zakarian - Emily Berkov | 27 | 5.84 |

Wootsie Stockton - Jamie Detweiler | Barbara Klein - Yael Aires | 30 | 5.76 |

Eric Juline - Peter Clark | Sharon Kambestad - Marcia Trombold | 25 | 5.46 |

Terry Paul - Chrissy Fried | Sharon Kambestad - Marcia Trombold | 25 | 5.44 |

Kevin Chaisson - Meena Sethi | Terry Paul - Chrissy Fried | 34 | 5.30 |

Marvin Bauch - Robert Mann | W John Devine - Jan Gallagher | 36 | 5.03 |

Rose Zakarian - Emily Berkov | Rima Sharron - John Sharron Jr | 40 | 4.91 |

Kevin Chaisson - Meena Sethi | Richard Thome - Bob Schork | 21 | 4.85 |

David Hawkins - Sharon Gabriel | Rima Sharron - John Sharron Jr | 20 | 4.65 |

Barbara Coffey - Charles Coffey | Raghubir Mathur - Ruth Aronsohn | 24 | 4.61 |

W John Devine - Jan Gallagher | Rima Sharron - John Sharron Jr | 28 | 4.09 |

Rima Sharron - John Sharron Jr | Sharon Kambestad - Marcia Trombold | 27 | 4.01 |

## Esplanade Friday morning open pairs

As with the Wednesday afternoon open game, the matrices are limited to pairs who have played at least 10 sessions. The partnerships of Joe Houde and Ron Kay (61.05% over 11 games), and Kevin Chaisson and Philippe Lamoise (58.28% over 16 games) are a clear first and second place, ahead of a pack of partnerships averaging 55.81 and below. We can be more than 90% certain both that the first place partnership is better than second place partnerships and that the second place partnership is better than the third place partnership.

Here is the Over/underperformance table where the pair-pair percentage is derived from at least 20 boards and OU ≥ 4 is shown. **Cnt** is the number of boards that each interaction percentage based on. Or view the graph.

Overperforming Pair | Underperforming Pair | Cnt | OU% |
---|---|---|---|

Mary Ballin - Abe Gleiberman | Christine Denny - J Spencer Emtage | 20 | 12.90 |

Christine Denny - J Spencer Emtage | Barbara Farfel - Martin Farfel | 20 | 12.52 |

Donald Cleveland - Harvey Schleifstein | Mary Ballin - Abe Gleiberman | 21 | 12.47 |

Michele Zuniga - Roberta Massey | Chris Kelly - Isabella Pommier | 23 | 12.10 |

Mary Lou Kammerer - Patricia Prahm | Joyce Pickersgill - Vivian Entous | 25 | 11.04 |

Donald Cleveland - Harvey Schleifstein | Joyce Pickersgill - Vivian Entous | 25 | 10.28 |

Jeanette Bentley - Chuck Siggins | Vic Dhooge - Mike O'Leary | 20 | 9.05 |

Marilyn Kalabsa - Ruth Aronsohn | Kevin Chaisson - Philippe Lamoise | 20 | 8.51 |

Joyce Pickersgill - Vivian Entous | Paul Foster - Judd Halenza | 23 | 8.18 |

Leah Stark - Edgar Wessel | Joyce Pickersgill - Vivian Entous | 30 | 7.93 |

Joyce Pickersgill - Vivian Entous | Michele Zuniga - Roberta Massey | 38 | 7.04 |

Kevin Chaisson - Philippe Lamoise | Vic Dhooge - Mike O'Leary | 22 | 6.31 |

Barbara Farfel - Martin Farfel | Michele Zuniga - Roberta Massey | 30 | 6.01 |

Kevin Chaisson - Philippe Lamoise | Donald Cleveland - Harvey Schleifstein | 20 | 5.83 |

Leah Stark - Edgar Wessel | Lawrence Hauser - Barbara Hauser | 23 | 5.70 |

Jeanette Bentley - Chuck Siggins | Leah Stark - Edgar Wessel | 20 | 5.68 |

Lawrence Hauser - Barbara Hauser | Paul Foster - Judd Halenza | 20 | 5.37 |

Mary Lou Kammerer - Sandra Musbach | Barbara Farfel - Martin Farfel | 20 | 5.21 |

Michele Zuniga - Roberta Massey | Mary Ballin - Abe Gleiberman | 30 | 5.19 |

Marilyn Kalabsa - Ruth Aronsohn | Jane Petering - Paula Alexander | 23 | 4.54 |

Joyce Pickersgill - Vivian Entous | Christine Denny - J Spencer Emtage | 26 | 4.24 |

Joyce Pickersgill - Vivian Entous | Marilyn Kalabsa - Ruth Aronsohn | 39 | 4.17 |

## Esplanade Tuesday and Thursday morning 499er pairs

There is considerable overlap between the pairs in both morning 499er games. Therefore, it makes sense to create a single set of payoff matrices from the combined dataset.

The matrices are limited to pairs who have played at least 10 sessions between the two 499er sessions. It’s a close race at the top around 55% led by Alan and Lorna Strang (55.45% over 60 games), Wallace Mccoy and Leroy Wisper (55.34 over 17 games), and Vivian Entous and Ray Miller (54.83% over 26 games).

Here is the Over/underperformance table where the pair-pair percentage is derived from at least 20 boards and OU ≥ 5 is shown. **Cnt** is the number of boards that each interaction percentage based on. Or view the graph.

Overperforming Pair | Underperforming Pair | Cnt | OU% |
---|---|---|---|

Wallace Mccoy - Leroy Wisper | Thomas Boardman - John Trombold | 21 | 15.20 |

Joyce Pickersgill - Darlene Bigos | Lori Eichenfield - Fran Subar | 21 | 15.00 |

Batia Kvashny - Isabella Wilf | Mary Anne Curray - Dolores Boily | 29 | 13.60 |

Thomas Boardman - John Trombold | Greg Smith - Kay Earley | 25 | 13.54 |

Thomas Boardman - John Trombold | Nat Cordova - Geri Cordova | 38 | 12.65 |

Greg Smith - Kay Earley | Vivian Entous - Ray Miller | 23 | 11.65 |

Bernard Goott - Joan Goott | Vivian Entous - Ray Miller | 21 | 11.17 |

Thomas Boardman - John Trombold | Judee Feinberg - Claire Altman | 40 | 10.36 |

Alan Strang - Lorna Strang | Janie Killermann - Sheri Meek | 26 | 9.97 |

Alan Strang - Lorna Strang | Sharon Mack - Irene Cooper | 45 | 9.47 |

Vivian Entous - Ray Miller | Nancy Shelmon - Maureen Sage | 24 | 9.05 |

Lori Eichenfield - Fran Subar | Thomas Boardman - John Trombold | 23 | 8.48 |

Simma Nemeth - Joyce Pickersgill | Batia Kvashny - Isabella Wilf | 27 | 8.03 |

Nat Cordova - Geri Cordova | Joyce Durra - Cheryl Griffiths | 21 | 7.76 |

Vivian Entous - Ray Miller | Joyce Pickersgill - Darlene Bigos | 24 | 7.67 |

Sharon Mack - Irene Cooper | Mary Anne Curray - Dolores Boily | 21 | 7.19 |

Wallace Mccoy - Leroy Wisper | Alan Strang - Lorna Strang | 27 | 6.97 |

Thomas Boardman - John Trombold | Vivian Entous - Ray Miller | 20 | 6.75 |

Nancy Shelmon - Maureen Sage | Greg Smith - Kay Earley | 44 | 6.70 |

Mary Anne Curray - Dolores Boily | Alan Strang - Lorna Strang | 34 | 6.56 |

Don Glickman - Maureen Culhane | Rosemary Love - Sheri Meek | 20 | 6.19 |

Alan Strang - Lorna Strang | Nancy Shelmon - Maureen Sage | 22 | 6.05 |

Vivian Entous - Ray Miller | Judee Feinberg - Claire Altman | 27 | 5.93 |

Bernard Goott - Joan Goott | Rosemary Love - Sheri Meek | 23 | 5.81 |

Bernard Goott - Joan Goott | Nancy Shelmon - Maureen Sage | 32 | 5.80 |

John Oden - Miki Oden | Joyce Pickersgill - Darlene Bigos | 20 | 5.71 |

Alan Strang - Lorna Strang | Rosemary Love - Sheri Meek | 50 | 5.46 |

Mary Anne Curray - Dolores Boily | Janie Killermann - Sheri Meek | 28 | 5.42 |

Thomas Boardman - John Trombold | John Oden - Miki Oden | 24 | 5.18 |

Janie Killermann - Sheri Meek | Wallace Mccoy - Leroy Wisper | 21 | 5.18 |

Vivian Entous - Ray Miller | Alan Strang - Lorna Strang | 24 | 5.09 |

Nancy Shelmon - Maureen Sage | Nat Cordova - Geri Cordova | 43 | 4.85 |

## Get the data

Download a zip file (1 MB) of all the tab delimited text files created by the Payoff Matrix software and used to generate the payoff matrix images above. For convenience, an Excel version of some files is also included. A filename such as **Esp-2013-Wed-Aft-min-10-payoff-matrix.txt** means the 2013 Esplanade Club payoff matrix data for the Wednesday afternoon session after restricting to partnerships that have played at least 10 sessions. If **min-#** is not included in the filename, no minimum session cut has been applied. The definition of each column is explained in the Payoff Matrix software documentation. The zip file also includes the images and the image specific JavaScript files.