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1

Hsu, John, Mary Reed, Richard Brand, Bruce Fireman, Joseph P. Newhouse, and Joseph V. Selby. "Cost-Sharing." Medical Care 42, no. 3 (March 2004): 290–96. http://dx.doi.org/10.1097/01.mlr.0000114917.50457.52.

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2

Matthiasson, Thorolfur. "Cost sharing and catch sharing." Journal of Development Economics 58, no. 1 (February 1999): 25–44. http://dx.doi.org/10.1016/s0304-3878(98)00101-1.

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3

Levy, Richard A. "Prescription Cost Sharing." PharmacoEconomics 2, no. 3 (September 1992): 219–37. http://dx.doi.org/10.2165/00019053-199202030-00005.

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4

Dobzinski, Shahar, and Shahar Ovadia. "Combinatorial cost sharing." ACM SIGecom Exchanges 16, no. 2 (May 7, 2019): 38–44. http://dx.doi.org/10.1145/3331041.3331046.

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5

Koster, Maurice. "Consistent cost sharing." Mathematical Methods of Operations Research 75, no. 1 (November 23, 2011): 1–28. http://dx.doi.org/10.1007/s00186-011-0372-3.

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6

Moulin, Herve, and Scott Shenker. "Serial Cost Sharing." Econometrica 60, no. 5 (September 1992): 1009. http://dx.doi.org/10.2307/2951537.

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7

Miller, Tom. "Cost Sharing Revisited." Health Affairs 25, no. 3 (May 2006): 883. http://dx.doi.org/10.1377/hlthaff.25.3.883.

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8

Piette, John D. "Medication Cost-Sharing." Medical Care 43, no. 10 (October 2005): 947–50. http://dx.doi.org/10.1097/01.mlr.0000179726.75480.52.

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9

Darmann, Andreas, and Christian Klamler. "Knapsack cost sharing." Review of Economic Design 18, no. 3 (June 8, 2014): 219–41. http://dx.doi.org/10.1007/s10058-014-0159-0.

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10

Sprumont, Yves. "Ordinal Cost Sharing." Journal of Economic Theory 81, no. 1 (July 1998): 126–62. http://dx.doi.org/10.1006/jeth.1998.2408.

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11

van Kesteren, Herman, and Vishal Sharma. "Cost sharing exemptions." ERA Forum 19, no. 2 (June 2018): 229–36. http://dx.doi.org/10.1007/s12027-018-0520-9.

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12

Kamijo, Yoshio. "Choosing Wisely and Sharing Cost: A Multi-Bidding Cost Sharing Mechanism." Theoretical Economics Letters 04, no. 06 (2014): 465–71. http://dx.doi.org/10.4236/tel.2014.46058.

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13

Hu, Shichun, Maged M. Dessouky, Nelson A. Uhan, and Phebe Vayanos. "Cost-sharing mechanism design for ride-sharing." Transportation Research Part B: Methodological 150 (August 2021): 410–34. http://dx.doi.org/10.1016/j.trb.2021.06.018.

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14

Chu, Leon Yang, and DavidE M. Sappington. "Simple Cost-Sharing Contracts." American Economic Review 97, no. 1 (March 1, 2007): 419–28. http://dx.doi.org/10.1257/000282807780323433.

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15

Powell, Victoria, Brendan Saloner, and Lindsay M. Sabik. "Cost Sharing in Medicaid." Medical Care Research and Review 73, no. 4 (November 24, 2015): 383–409. http://dx.doi.org/10.1177/1077558715617381.

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16

Chu, Leon Yang, and David E. M. Sappington. "Simple Cost-Sharing Contracts." American Economic Review 97, no. 1 (February 1, 2007): 419–28. http://dx.doi.org/10.1257/aer.97.1.419.

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We extend William Rogerson's (2003) intriguing analysis of simple procurement contracts to settings where the supplier's innate production cost is not necessarily distributed uniformly. Although the simple contract that Rogerson analyzes performs remarkably well when the smaller cost realizations are relatively likely, it can perform poorly when the larger cost realizations are relatively likely. We show that in all settings under consideration, a simple pair of contracts – one that involves linear cost sharing and one that involves full cost reimbursement – can always secure more than 73 percent of the gain achieved with a fully optimal contract. (JEL D86)
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17

Gupta, Anupam, Amit Kumar, Martin P´al, and Tim Roughgarden. "Approximation via cost sharing." Journal of the ACM 54, no. 3 (June 2007): 11. http://dx.doi.org/10.1145/1236457.1236458.

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18

Hougaard, Jens Leth, and Lars Thorlund-Petersen. "Mixed serial cost sharing." Mathematical Social Sciences 41, no. 1 (January 2001): 51–68. http://dx.doi.org/10.1016/s0165-4896(00)00050-0.

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19

Lewis, C. "Cost and responsibility sharing." Veterinary Record 164, no. 5 (January 31, 2009): 157. http://dx.doi.org/10.1136/vr.164.5.157.

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20

Kolpin, Van, and Dameon Wilbur. "Bayesian serial cost sharing." Mathematical Social Sciences 49, no. 2 (March 2005): 201–20. http://dx.doi.org/10.1016/j.mathsocsci.2004.08.004.

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21

Wang, Yun-Tong, and Daxin Zhu. "Ordinal proportional cost sharing." Journal of Mathematical Economics 37, no. 3 (May 2002): 215–30. http://dx.doi.org/10.1016/s0304-4068(02)00016-2.

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22

Rosenthal, Meredith. "Cost Sharing: Authors Respond." Health Affairs 25, no. 3 (May 2006): 883–84. http://dx.doi.org/10.1377/hlthaff.25.3.883-a.

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23

Sprumont, Yves. "Coherent Cost-Sharing Rules." Games and Economic Behavior 33, no. 1 (October 2000): 126–44. http://dx.doi.org/10.1006/game.1998.0760.

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24

Friedman, Eric J. "Asymmetric Cost Sharing mechanisms." Games and Economic Behavior 75, no. 1 (May 2012): 139–51. http://dx.doi.org/10.1016/j.geb.2011.09.009.

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25

Goldman, Dana P., Geoffrey F. Joyce, and Yuhui Zheng. "Prescription Drug Cost Sharing." JAMA 298, no. 1 (July 4, 2007): 61. http://dx.doi.org/10.1001/jama.298.1.61.

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26

Luo, Ying, Qiang Wei, Xinyu Gou, Dai Dai, and Yiran Zhou. "Sharing Logistics Service Supply Chain with Revenue-Sharing vs. Cost-Sharing Contracts." Mathematical Problems in Engineering 2021 (January 15, 2021): 1–31. http://dx.doi.org/10.1155/2021/8841536.

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The purpose of this study is to explore the design of equity cooperation mechanism in the sharing logistics service supply chain. This study designs a two-echelon logistics service supply chain composed of an urban joint distribution company and N logistics companies. The urban joint distribution company is jointly established by N logistics companies based on specific shares of equity investment. We establish sharing logistics service supply chain models under revenue-sharing or cost-sharing contracts. Revenue-sharing factor or cost-sharing factor is the equity cooperation parameter. When the members of the supply chain choose to cooperate in revenue-sharing or cost-sharing mechanism, not all cooperation scenarios considered in the study can achieve Pareto improvement of the total profit of the supply chain, but at least one situation can achieve Pareto improvement. This study provides feasible solutions for logistics companies to join the sharing logistics service platform and provides a reference for the operation of a joint distribution platform established by logistics companies. New results and managerial insights are derived by the sharing logistics service supply chain with revenue-sharing vs cost-sharing contracts, which enriches the interfaces of the operation of the sharing logistics service supply chain.
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27

Zhang, Chun, John W. Henke, and Sridhar Viswanathan. "Reciprocity between buyer cost sharing and supplier technology sharing." International Journal of Production Economics 163 (May 2015): 61–70. http://dx.doi.org/10.1016/j.ijpe.2015.02.004.

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28

Becker, Helmut. "New US Cost-Sharing Regulations." Intertax 24, Issue 4 (April 1, 1996): 145–46. http://dx.doi.org/10.54648/taxi1996028.

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29

Birmpas, Georgios, Evangelos Markakis, and Guido Schäfer. "Cost Sharing over Combinatorial Domains." ACM Transactions on Economics and Computation 10, no. 1 (March 31, 2022): 1–26. http://dx.doi.org/10.1145/3505586.

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We study the problem of designing cost-sharing mechanisms for combinatorial domains. Suppose that multiple items or services are available to be shared among a set of interested agents. The outcome of a mechanism in this setting consists of an assignment, determining for each item the set of players who are granted service, together with respective payments. Although there are several works studying specialized versions of such problems, there has been almost no progress for general combinatorial cost-sharing domains until recently [ 9 ]. Still, many questions about the interplay between strategyproofness, cost recovery, and economic efficiency remain unanswered. The main goal of our work is to further understand this interplay in terms of budget balance and social cost approximation. Towards this, we provide a refinement of cross-monotonicity (which we term trace-monotonicity ) that is applicable to iterative mechanisms. The trace here refers to the order in which players become finalized. On top of this, we also provide two parameterizations (complementary to a certain extent) of cost functions, which capture the behavior of their average cost-shares. Based on our trace-monotonicity property, we design an Iterative Ascending Cost-Sharing Mechanism, which is applicable to the combinatorial cost-sharing setting with symmetric submodular valuations. Using our first cost function parameterization, we identify conditions under which our mechanism is weakly group-strategyproof, \( O(1) \) -budget-balanced, and \( O(H_n) \) -approximate with respect to the social cost. Furthermore, we show that our mechanism is budget-balanced and \( H_n \) -approximate if both the valuations and the cost functions are symmetric submodular; given existing impossibility results, this is best possible. Finally, we consider general valuation functions and exploit our second parameterization to derive a more fine-grained analysis of the Sequential Mechanism introduced by Moulin. This mechanism is budget balanced by construction, but in general, only guarantees a poor social cost approximation of \( n \) . We identify conditions under which the mechanism achieves improved social cost approximation guarantees. In particular, we derive improved mechanisms for fundamental cost-sharing problems, including Vertex Cover and Set Cover.
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30

Wang, Yuntong. "A Museum Cost Sharing Problem." American Journal of Operations Research 01, no. 02 (2011): 51–56. http://dx.doi.org/10.4236/ajor.2011.12008.

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31

Chernew, Michael, and Teresa B. Gibson. "Cost Sharing and HEDIS Performance." Medical Care Research and Review 65, no. 6 (December 2008): 713–28. http://dx.doi.org/10.1177/1077558708319683.

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32

Cliff, Elizabeth Q., and A. Mark Fendrick. "“Clinically nuanced” Medicaid cost-sharing." Journal of Medical Economics 21, no. 2 (October 21, 2017): 189–91. http://dx.doi.org/10.1080/13696998.2017.1388807.

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33

Remler, Dahlia K., and Jessica Greene. "Cost-Sharing: A Blunt Instrument." Annual Review of Public Health 30, no. 1 (April 2009): 293–311. http://dx.doi.org/10.1146/annurev.publhealth.29.020907.090804.

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34

Siqueira, Kevin. "Clubs, Advertising, and Cost Sharing." Public Finance Review 29, no. 1 (January 2001): 83–95. http://dx.doi.org/10.1177/109114210102900105.

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35

Becchetti, L., J. Könemann, S. Leonardi, and M. Páal. "Sharing the cost more efficiently." ACM Transactions on Algorithms 3, no. 2 (May 2007): 23. http://dx.doi.org/10.1145/1240233.1240246.

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36

Fuhua, Wang. "Cost-Sharing in Civil Justice." Social Sciences in China 39, no. 1 (January 2, 2018): 98–113. http://dx.doi.org/10.1080/02529203.2018.1414399.

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37

Dalen, Dag Morten, and Espen R. Moen. "Ownership and Cost-Sharing Contracts." Australian Economic Papers 51, no. 3 (September 2012): 134–46. http://dx.doi.org/10.1111/j.1467-8454.2012.00428.x.

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38

Aadland, David, and Van Kolpin. "Environmental determinants of cost sharing." Journal of Economic Behavior & Organization 53, no. 4 (April 2004): 495–511. http://dx.doi.org/10.1016/s0167-2681(03)00099-4.

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39

Albizuri, M. Josune. "The -serial cost-sharing rule." Mathematical Social Sciences 60, no. 1 (July 2010): 24–29. http://dx.doi.org/10.1016/j.mathsocsci.2010.02.005.

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40

Haimanko, Ori. "Cost sharing: the nondifferentiable case." Journal of Mathematical Economics 35, no. 3 (June 2001): 445–62. http://dx.doi.org/10.1016/s0304-4068(01)00052-0.

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41

Kaplan, Todd R., and David Wettstein. "Cost sharing: efficiency and implementation." Journal of Mathematical Economics 32, no. 4 (December 1999): 489–502. http://dx.doi.org/10.1016/s0304-4068(98)00068-8.

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42

Jensen, Richard. "Sharing cost information: a counterexample." Economic Theory 3, no. 3 (September 1993): 589–92. http://dx.doi.org/10.1007/bf01209706.

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43

Marquis, M. Susan. "Cost-sharing and provider choice." Journal of Health Economics 4, no. 2 (June 1985): 137–57. http://dx.doi.org/10.1016/0167-6296(85)90003-7.

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44

Scott, A., D. Tyson, K. Baker, B. Young, F. Anthony, and J. Baird. "Cost sharing on animal health." Veterinary Record 162, no. 11 (March 15, 2008): 356. http://dx.doi.org/10.1136/vr.162.11.356.

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45

Bleby, J. "Cost sharing on animal health." Veterinary Record 162, no. 13 (March 29, 2008): 423. http://dx.doi.org/10.1136/vr.162.13.423.

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46

Lichtenberg, Erik, and Ricardo Smith-Ramírez. "Slippage in Conservation Cost Sharing." American Journal of Agricultural Economics 93, no. 1 (January 2011): 113–29. http://dx.doi.org/10.1093/ajae/aaq124.

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47

Roughgarden, Tim, and Okke Schrijvers. "Network Cost-Sharing without Anonymity." ACM Transactions on Economics and Computation 4, no. 2 (February 3, 2016): 1–24. http://dx.doi.org/10.1145/2841228.

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48

Gibson, Teresa B. "Cost-Sharing for Prescription Drugs." JAMA 285, no. 18 (May 9, 2001): 2328. http://dx.doi.org/10.1001/jama.285.18.2328.

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49

Trudeau, Christian. "Cost sharing with multiple technologies." Games and Economic Behavior 67, no. 2 (November 2009): 695–707. http://dx.doi.org/10.1016/j.geb.2009.01.002.

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50

Dobzinski, Shahar, Aranyak Mehta, Tim Roughgarden, and Mukund Sundararajan. "Is Shapley cost sharing optimal?" Games and Economic Behavior 108 (March 2018): 130–38. http://dx.doi.org/10.1016/j.geb.2017.03.008.

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