Document:

<PAGE>

                                                                   Exhibit 10.31

                                                                December 8, 2004

Mrs. Ann M. Korologos
3150 South Street, NW
Washington, D.C. 20007

Dear Ann:

            This will confirm the following agreement relating to the deferral
of your director's fees in 2005.

            1. All director's fees and retainers ("Fees") payable to you in
connection with your service on the boards of directors (including committees of
such boards) of AMR Corporation and American Airlines, Inc. for the period
January 1, 2005 through December 31, 2005 , will be deferred and paid to you in
accordance with this letter agreement.

            2. Fees will be converted to Stock Equivalent Units in accordance
with the Directors' Stock Equivalent Purchase Plan, a copy of which is attached
hereto as Exhibit A (the "Plan").

            3. Within 30 days of the date when you cease to be a Director of AMR
Corporation, the Stock Equivalent Units accrued in 2005 pursuant to the Plan
will be converted to cash and paid to you by multiplying the number of such
Stock Equivalent Units by the arithmetic mean of the high and the low of AMR
stock during the month when you ceased to be a Director of AMR Corporation.

            4. In the event of your death, the cash payment contemplated by
paragraph 3 will be made to your named beneficiary under the Director's Term
Life Insurance Policy maintained by the Corporation.

<PAGE>

            If the foregoing is satisfactory to you, please indicate by signing
one of the originals (two are enclosed) and returning it to me.

                                                 Very truly yours,

                                                 Charles D. MarLett
                                                 Corporate Secretary

Accepted and agreed:

/s/ Ann M. Korologos
-------------------------
Ann M. Korologos

12/21/2004
-------------------------
Date<PAGE>

                                                                   Exhibit 10.34

                                                                December 8, 2004

Mr. Michael A. Miles
1350 Lake Road
Lake Forest, IL 60045

Dear Mike:

            This will confirm the following agreement relating to the deferral
of your director's fees in 2005.

            1. All director's fees and retainers ("Fees") payable to you in
connection with your service on the boards of directors (including committees of
such boards) of AMR Corporation and American Airlines, Inc. for the period
January 1, 2005 through December 31, 2005 , will be deferred and paid to you in
accordance with this letter agreement.

            2. Fees will be converted to Stock Equivalent Units in accordance
with the Directors' Stock Equivalent Purchase Plan, a copy of which is attached
hereto as Exhibit A (the "Plan").

            3. Within 30 days of the date when you cease to be a Director of AMR
Corporation, the Stock Equivalent Units accrued in 2005 pursuant to the Plan
will be converted to cash and paid to you by multiplying the number of such
Stock Equivalent Units by the arithmetic mean of the high and the low of AMR
stock during the month when you ceased to be a Director of AMR Corporation.

            4. In the event of your death, the cash payment contemplated by
paragraph 3 will be made to your named beneficiary under the Director's Term
Life Insurance Policy maintained by the Corporation.

<PAGE>

            ] If the foregoing is satisfactory to you, please indicate by
signing one of the originals (two are enclosed) and returning it to me.

                                                 Very truly yours,

                                                 Charles D. MarLett
                                                 Corporate Secretary

Accepted and agreed:

/s/ Michael A. Miles
-------------------------
Michael A. Miles

12/13/04
-------------------------
Date<PAGE>

                                                                   Exhibit 10.39

                                                                December 8, 2004

Mr. Philip J. Purcell
Morgan Stanley
2500 Lake Cook Road
Riverwoods, IL 60015

Dear Phil:

            This will confirm the following agreement relating to the deferral
of your director's fees in 2005.

            1. All director's fees and retainers ("Fees") payable to you in
connection with your service on the boards of directors (including committees of
such boards) of AMR Corporation and American Airlines, Inc. for the period
January 1, 2005 through December 31, 2005, will be deferred and paid to you in
accordance with this letter agreement.

            2. Fees will be converted to Stock Equivalent Units in accordance
with the Directors' Stock Equivalent Purchase Plan, a copy of which is attached
hereto as Exhibit A (the "Plan").

            3. Within 30 days of the date when you cease to be a Director of AMR
Corporation, the Stock Equivalent Units accrued in 2005 pursuant to the Plan
will be converted to cash and paid to you by multiplying the number of such
Stock Equivalent Units by the arithmetic mean of the high and the low of AMR
stock ("fair market value") during the month when you ceased to be a Director of
AMR Corporation.

            4. In the event of your death, the number of Stock Equivalent Units
as of your date of death will be multiplied by the fair market value of AMR
stock during the calendar month immediately preceding your death, and the amount
paid to Anne Purcell.

<PAGE>

            If the foregoing is satisfactory to you, please indicate by signing
one of the originals (two are enclosed) and returning it to me.

                                                 Very truly yours,

                                                 Charles D. MarLett
                                                 Corporate Secretary

Accepted and agreed:

/s/ Philip J. Purcell
--------------------------
Philip J. Purcell

12/14/04
--------------------------
Date<PAGE>

                                                                   Exhibit 10.44

                                                                December 8, 2004

Mr. Joe M. Rodgers
Chairman
The JMR Group
P. O. Box 158838
Nashville, TN 37215-8838

Dear Joe:

            This will confirm the following agreement relating to the deferral
of your director's fees in 2005.

            1. All director's fees and retainers ("Fees") payable to you in
connection with your service on the boards of directors (including committees of
such boards) of AMR Corporation and American Airlines, Inc. for the period
January 1, 2005 through December 31, 2005, will be deferred and paid to you in
accordance with this letter agreement.

            2. Fees will be converted to Stock Equivalent Units in accordance
with the Directors' Stock Equivalent Purchase Plan, a copy of which is attached
hereto as Exhibit A (the "Plan").

            3. Within 30 days of the date when you cease to be a Director of AMR
Corporation, the Stock Equivalent Units accrued in 2005 pursuant to the Plan
will be converted to cash and paid to you by multiplying the number of such
Stock Equivalent Units by the arithmetic mean of the high and the low of AMR
stock during the month when you ceased to be a Director of AMR Corporation.

            4. In the event of your death, the cash payment contemplated by
paragraph 3 will be made to your named beneficiary under the Director's Term
Life Insurance Policy maintained by the Corporation.

<PAGE>

            If the foregoing is satisfactory to you, please indicate by signing
one of the originals (two are enclosed) and returning it to me.

                                                 Very truly yours,

                                                 Charles D. MarLett
                                                 Corporate Secretary

Accepted and agreed:

/s/ Joe M. Rodgers
-------------------------
Joe M. Rodgers

12/15/04
-------------------------
Date<PAGE>

                                                                   Exhibit 10.53

                                                                December 8, 2004

Judith Rodin, PhD.
President
University of Pennsylvania
100 College Hall
Philadelphia, PA   19104

Dear Judith:

            This will confirm the following agreement relating to the deferral
of your director's fees in 2005.

            1. All director's fees and retainers ("Fees") payable to you in
connection with your service on the boards of directors (including committees of
such boards) of AMR Corporation and American Airlines, Inc. for the period
January 1, 2005 through December 31, 2005, will be deferred and paid to you in
accordance with this letter agreement.

            2. Interest will be accrued on the amounts to be paid on a deferred
basis pursuant to paragraph 1 above, from the date such fees would otherwise
have been paid to the date actually paid, at the prime rate which The Chase
Manhattan Bank (National Association) from time to time charges in New York for
90-day loans to responsible commercial borrowers, such interest to be compounded
monthly.

            3. The total amount to be paid on a deferred basis plus the
aggregate amount of interest accrued thereon will be paid to you in a lump sum
distribution within 30 days of the date when you cease to be a Director of AMR
Corporation.

            4. In the event of your death, the number of Stock Equivalent Units
as of your date of death will be multiplied by the fair market value of AMR
stock during the calendar month immediately preceding your death, and the amount
paid to the Trustees under your Revocable Agreement of Trust, dated September
15, 1997, as amended November 3, 1997, Judith Rodin Settlor and Trustee.

<PAGE>

            If the foregoing is satisfactory to you, please indicate by signing
one of the originals (two are enclosed) and returning it to me.

                                                  Very truly yours,

                                                 Charles D. MarLett
                                                Corporate Secretary

Accepted and agreed:

/s/ Judith Rodin
----------------
Judith Rodin

12/15/04
--------------
Date

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